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Space allocation for commercial activities

at international passenger terminals

Chaug-Ing Hsu

*

, Ching-Cheng Chao

Department of Transportation Technology and Management, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 30010, Taiwan, ROC

Received 14 May 2003; received in revised form 27 August 2003; accepted 7 January 2004

Abstract

This study examines the relationships among commercial revenue, passenger service level and space allocation in international passenger terminals. Using mathematical programming, this study constructs a model for maximizing concession revenues while maintaining service level, to optimize the space allocation for various types of stores. This study then uses CKS International Airport as an example to demonstrate the applicability of the models. The results show that total commercial revenues can be maximized by locating the stores with more concession revenue in the more accessible positions. Moreover, the optimal space allocation for commercial activities and public facilities changes with passenger volumes and/or service levels.

Ó 2004 Elsevier Ltd. All rights reserved.

Keywords: International airport; Passenger terminal; Airport concession; Space allocation; Service level

1. Introduction

International airports operate in an increasingly competitive, market-driven environment, and moreover are increasingly financially self-reliant. The construction costs of International Airports generally are very high. Recently, due to the financial woes faced by airlines, it has been difficult for airport authorities to increase airport revenue by raising airport charges unless the airport possesses an especially advantageous geographic location. Therefore, how to effectively allocate airport terminal space to maximize revenues from leasing commercial concessions has become

*Corresponding author. Tel.: +886-3-573-1672; fax: +886-3-572-0844.

E-mail address:[email protected](C.-I. Hsu).

1366-5545/$ - see front matter Ó 2004 Elsevier Ltd. All rights reserved. doi:10.1016/j.tre.2004.01.001

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important. Concession revenues are those generated from non-aircraft related commercial activities in the terminals and on airport land. Space allocation in passenger terminals is an ex-tremely complex task, and influences not only passenger processing efficiency but also airport concession revenue. According to Doganis (1992), in medium to large US airports, commercial concessions contribute 75–80% of total airport revenue. In 1990, more than 90% of total revenue at Los Angeles airport came from commercial revenues. In comparison, in 1998, just 30% of total revenue at Chiang Kai-Shek International Airport was from commercial operations (Civil Aeronautics Administration, MOTC, ROC, 1999). Concession revenue clearly is extremely important to airports, and moreover optimizing the allocation of terminal space to increase commercial concession revenues is crucial.

Previous studies on space allocation of terminal buildings mainly focused on public facilities. Most of these studies dealt with the problem using manual approach, the queuing theory ap-proach, and the user perception apap-proach, and moreover adopted the perspective of architecture design and /or operations research (e.g. Ashford et al., 1976; Piper, 1990; Mckelvey, 1988; Yen, 1995). In another series of studies, the main issues in airport financing management studies fo-cused mostly on airport pricing (e.g. Hamzaee and Vasigh, 2000; Pels et al., 1997; Zhang and Zhang, 1997; Doganis, 1992; Oum and Zhang, 1990). Doganis (1992) presented an excellent discussion on concession revenue maximization strategies. Moreover, Zhang and Zhang (1997) examined the optimal pricing in a model where concession and aeronautical operations of an airport are considered together with an overall break-even constraint. Recently, commercial airports in the US have made financial agreements with airlines operating in their airport ter-minals. These airports have gradually changed from the Residual Cost Approach, in which air-lines collectively assume significant financial risk by agreeing to pay airport running costs, to the Compensatory Approach, in which the airport operator assumes most of the financial risk in-volved in running the airport and charges the airlines fees and rental (Vasigh and Hamzaee, 1998). Additionally, previous studies on airport operating management generally focused on airport productivity or performance (Gillen and Lall, 1997; Hensher and Hooper, 1997; Seneviratne and Martel, 1991).

However, the relationship between space allocation and concession revenue of passenger ter-minals at an International Airport has seldom been investigated. Additionally, though the con-cession revenues of the shops are the main source of airport income, but the extent of their advantage depends on the scheme that determines how much commercial space a large Inter-national Airport with high passenger volumes requires, and furthermore how to allocate that commercial space among different types of stores. However, no theoretical space allocation model exists for allocating space for various commercial activities at passenger terminals. This study examines the relationships among concession revenue, passenger service level and space allocation for public facilities and commercial activities. Specifically, this study considers issues including: space allocation for passenger processing and commercial activities, terminal concession rate-setting, and passenger accessibility in terms of their space–time constraints in undertaking con-sumption activities in terminal buildings.

This study attempts to develop a space allocation model for optimizing the space allocation for various stores at different locations and for public facilities. The model applies mathematical programming methods and attempts to maximize concession revenues while ensuring passenger processing service level. Moreover, this study uses CKS International Airport in Taiwan as an

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example to demonstrate the application of the model. The analytical results obtain the optimal sizes and locations for various types of stores in every region of a passenger terminal, and provide a reference for terminal space planning and lease management.

The remainder of this study is organized as follows: Section 2 describes the method for public facility allocation. Section 3 then formulates a mathematical programming model for allocating commercial space in passenger terminals. Subsequently, section 4 presents a case study demon-strating the application and results of the models. Finally, section 5 gives conclusions.

2. Public facility space allocation

The public facility space allocation in a terminal seeks to establish gross size requirements without establishing specific locations for individual components. International Air Transport Association (IATA) established various space requirements for various terminal facilities with different levels-of-service. Many studies have examined level-of-service criteria for terminals, and some have attempted to define level-of-service standards (e.g. Mumayiz, 1991; Martel and Seneviratne, 1990; Mckelvey, 1989; FAA, 1980). Level of service measures commonly used in passenger terminals include measures of congestion within terminal buildings, passenger delays and waiting line lengths at various facilities, passenger walking distance, and total passenger processing time. Approximate locations for the processing components are generally indicated based on the sequential nature of the processing system to minimize walking distance and pro-cessing time for departure or arrival passengers. IATA (1989) proposed a nearby function matrix, M, part of which indicated that any two public facilities should be located together, and moreover should be classified as essential, desirable or non-essential, as shown in Table 1.

Let XU

p represent required square meters of facility p at level-of-service U , 1

then according to IATA (1995), XU

p can be formulated as:

XpU ¼ Hp AUp; p¼ 1; . . . ; n; U ¼ A; B; C; D; E; F ð1Þ where Hpdenotes the total number of passengers using facility type p at peak hour, AUp represents the required square meters per passenger using facility type p at level-of-service U , U ¼ A; B; C; D; E; F , and n is the total number of facility types. Facility level of service reduces in alphabetical order, that is, level-of-service A denotes the highest level while level-of-service F denotes the lowest level.

Walking distances for departure or arrival passengers also vary according to parking or loading/unloading locations of various ground access modes. Types of ground access modes in-clude public buses, shuttle, taxis, automobile (self-drive), automobile (driven by another person), rail, rapid transit, and so on. Let TD represent the total annual walking distance for all types of passengers, then the space and location for each type of public facility is determined to minimize

1

To enable comparison among the various airport systems and subsystems, and to reflect the dynamic nature of facility demand, a range of level of service measures from ‘‘A’’ through ‘‘F ’’ are defined based on IATA (1995), shown in Appendix A.

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TD subject to the location relationship matrix of any two facilities, M , satisfying the IATA nearby function matrix dealing with public facilities, M . That is

Min TD¼X v g¼1 ðDd g E d g N dÞ þX v g¼1 ðDa g E a g N aÞ þ ½Dr Erþ Dr0  ð1 ErÞ  Nr ð2Þ s:t: M M ð3Þ where Dd

g denotes the average walking distance of type g departure passengers who walk directly from the departures hall, through the check-in counters, immigration, security, and finally the boarding gates without engaging in any consumption activities such as shopping, eating, and so on. Similarly, Da

g represents the average walking distance of type g arrival passengers who walk from the arrival gates, through immigration, baggage claim, customs, and finally to the arrivals hall without undertaking any consumption activities. Furthermore, variables Dr and Dr0 stand Table 1

Functional adjacency matrix for a typical terminal layout

ESSENTIAL DESIRABLE NON-ESSENTIAL LEGEND

KERBSIDE

KERBSIDE BAGGAGE CHECK RESERVATIIONS COUNTER ENQUIRY COUNTER CHECK-IN COUNTER AIRINE OFFICES BACK-UP BAGGAGE SYSTEM BAGGAGE MAKE-UPAREA EMIGARTION CHECK SECURITY CHECK CUSTOMS CHECK DUTY FREE SHOP DEPARTURE LOUNGE GATE HOLD ROOM GATE CHECK V.I.P LOUNGE(s)

BAGGAGE (BREAKDOWN) AREA BAGGAGE SYSTEM

BAGGAGE (CLAIM)AREA BAGGAGE STORE

BAGGAGE (TRANSFER) SYSTEM BAGGAGE (LOCKERS/DEPOSIT) ARRIVAL CONCOURSE HEALTH CHECK IMMIGRATION CHECK DUTY FREESHOPS CUSTOMS CHECK VISTOR/GREETER AREA ENQUIRY COUNTER KERBSIDE DEPARTURES OUTBOUND ARRIVALS INBOUND Source: IATA (1989).

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for the average distance walked by direct and indirect transfer passengers, respectively, and difference in that indirect transfer passengers must check-in at the transfer counters before approaching the gates. Additionally, Nd, Na and Nr denote the total numbers of departure, arrival, and transfer passengers, respectively; Ed

g and Eag represent the ratios of type g departure and arrival passengers to total departure and arrival passengers, respectively; Er is the ratio of direct transfer passengers to total transfer passengers, and v denotes the total number of passenger types.

3. Commercial activity space allocation

When passenger volume in an International Airport reaches the designed capacity, airport authorities may re-allocate space between public facilities and commercial activities to accom-modate more passengers. Expanding the space available for public facilities can improve pas-senger processing service level, which allow paspas-sengers to finish all procedures more efficiently and have more time available for consumption thus increasing airport concession revenue. However, reducing the space available for commercial activities in a terminal building can degrade the attractiveness of those commercial activities and thus reduce airport concession revenue. This study set up maximum space constraints for stores in different areas. These constraints prevent too much terminal space being allocated to commercial activities, and ensure sufficient space allocation for public facilities to maintain good service quality. The need to maintain good service quality in public facilities implies that it would not affect aviation income. Consequently, com-mercial revenue maximization also implies total revenue maximization if aviation revenue remains unchanged.

Airport operators generally allocate commercial space in passenger terminal buildings for use by various shops providing all kinds of passenger amenities. Influences on the sizes of different shops include not only the basic service function requirements of an international airport but also the interests and abilities of potential concessionaries and rental rates. Nowadays, most concessions are charged based on a certain proportion of store revenue. Therefore, total airport concession revenue can be calculated by estimating the charging ratio and individual store revenue that can be estimated by figuring out total customer volumes and average consumption per customer. The required square meter of a store can be obtained by figuring out its number of customers at peak hour and average space required per customer. Although allocating larger space for commercial activities can attract more consumers at peak hours, airport operators must also consider the major uses of space in passenger terminals, such as for public facilities and airlines, and also the related operating and maintenance costs. Therefore, to maintain passenger processing service levels and maximize store concession revenues, airport operators must understand how to determine total commercial space and then allocate that space among different types of stores and different areas of the terminal building.

This study formulates the above problem using mathematical programming and attempts to maximize the total concession revenue subject to space constraints. Let Rk

ljðX k

ljÞ denote the con-cession revenue for Xk

lj, that is, type k store at positionðl; jÞ with an area of X square meters, and TR represents the total concession revenue, then the problem can be formulated as:

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Max TR¼X z k¼1 Xh l¼1 X5 j¼1 Rk ljðX k ljÞ ð4Þ s:t: X h l¼1 X5 j¼1 XljkP Sk; k ¼ 1; . . . ; z ð5Þ Xz k¼1 X5 j¼1 Xljk6Ll; l¼ 1; . . . ; h ð6Þ

where Sk is the minimum square meters of type k stores required to satisfy basic passenger de-mand; Llis the maximum total square meters of commercial space available for all stores in area l; superscript l denotes the region located in different parts of the passenger terminal building, that is, departure, arrival, and transfer terminal areas or controlled and non-controlled terminal areas; subscript j is the percentage of total passengers passing position ðl; jÞ in region l,2 and is cal-culated as the ratio of passengers passing that location after completing all necessary departure or arrival related procedures to total passengers. That is, high passenger flow at a location implies that stores at that location will have high accessibility. Superscript k indicates the type of store; and h and z are the number of regions and types of stores, respectively.

Eq. (5) represents the summation of allocated space for type k stores at all positions of all regions, and must be larger than the minimum space required for the basic service functions of that type of store in an International Airport. Moreover, Eq. (6) sets the total allocated com-mercial space for all types of stores at all positions of region l that must be less than the largest commercial space available in that region. This constraint prevents the allocation of too much space for commercial activities inside the terminal, and allows space to be kept for public facilities as necessary to maintain good service quality.

Let TMk

ljðXljkÞ denote the total revenue of Xljk, then the concession revenue of Xljk, RkljðXljkÞ, can be formulated as: RkljðXk ljÞ ¼ TM k ljðX k ljÞ  Fk ð7Þ

where Fk denotes the concession charging ratio of type k store. The bidding capability of a store for a particular location depends on store revenues, that is, store with more revenues generally have higher bidding ability than stores with less revenues. For example, the revenues of duty-free stores are generally higher than those of other stores or restaurants, and thus duty-free stores generally have higher ability to bid for and rent the most accessible locations. When airport authorities manage stores directly, then Fk can be considered to represent store net profit.

Meanwhile, let TCkljðXk

ljÞ denote the total number of consumers at X k lj, then TM k ljðX k ljÞ can be formulated as: TMkljðXk ljÞ ¼ TC k ljðX k ljÞ  AMkðXlikÞ ð8Þ

2To simplify the analysis, this study classifies those into five ranges, j¼ 1–5, where, j ¼ 1 indicates that the

percentage of passengers passing the location is below 20%, j¼ 2 indicates a percentage of 20–40%, j ¼ 3 indicates a percentage of 40–60%, j¼ 4 indicates a percentage of 60–80%, and j ¼ 5 indicates the percentage range between 80% and 100%.

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where AMkðXljkÞ represents average consumption per customer of Xljk. The consumption activities of passengers are constrained by their available time budget, with customers having different amounts of time available for shopping. Customers with minimal time can only shop at the closest stores, while customers with more time can shop at more stores, starting from the closest. Therefore, location is the key determinant of the total number of customers at Xk

lj, TC k ljðX k ljÞ. Furthermore, the TCkljðXk

ljÞ further influences the total revenues of store at Xljk directly, as illus-trated by Eq. (8). Since the concessions are normally charged by a certain ratio of store revenue, as shown by Eq. (7), then TCkljðXk

ljÞ also influences the concessions.

This study assumes that the space allocated to various stores should be larger than the size necessary for their operation, as shown in Eq. (5). Moreover, investigations of previous data indicated that variations in average consumption per customer are insignificant due to the changes of store size and location because airport terminal consumption activities are induced secondary demand of passengers. Compared with the total number of consumers at Xk

lj, TCkljðXk

ljÞ, average consumption per customer of store X k

lj, AMkðXljkÞ, does not significantly affect total store revenue. Therefore, this study assumes that AMkðXljkÞ is fixed and does not fluctuate according to store location or size. The total number of consumers at Xk

lj, TC k

ljðXljkÞ, is thus the most important determinant of store concession revenues.Regarding the estimation of the total number of consumers at Xk

lj, this study further classifies international airport con-sumers into six groups, that is, departures, arrivals, transfers, well-wishers, greeters, and airport employees, and then calculates the number of consumers in each group that consume at store Xk

lj, respectively.

3.1. Departure passengers

This study assumes that guiding instructions are sufficient for passengers to easily find check-in counters, immigration counters, security checks, boarding gates, and all commercial and service facilities. Therefore, passengers are assumed to use the shortest walking distance in undertaking each activity. Generally, departure passengers arrive at the airport some time (ranging from two and half hours to 30min) ahead of their departure time so as to complete all necessary procedures. Passenger arrival time is influenced not only by individual estimates of travel time to reach the airport and terminal processing time but also on trip type (such as business or leisure) and trip length. After arriving at the passenger terminal passengers can freely undertake all kinds of consumption activities until boarding, provided they complete all necessary departure procedures. The number of consumption activities that passengers can undertake thus is determined by available time and activity spatial distributions. This study introduces the concept of accessibility, which determines the maximum time that an individual passenger can spend at Xk

lj, subject to his or her space–time constraints during departure process. This study can estimate the total number of passengers who can reach store Xk

ljand remain there longer than the shortest duration required for consumption activities. Furthermore, the proportion of total passengers who actually sume can be determined to figure out the total number of departure passengers actually con-suming at Xk

lj.

This study defines the total time budget of a departure passenger between arrival at the terminal building and boarding. Let hmi denote the time budget of passenger i taking departure flight m, then hmi can be expressed as:

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hmi ¼ tm b t

m

ai ð9Þ

where tm

b represents the boarding time of the departure flight m, and tmaiis the time when passenger i taking departure flight m arrives at the departure lobby.

Let Tm

lji denote time duration, which can be used to undertake commercial activities at position ðl; jÞ by passenger i of departure flight m, then Tm

lji can be expressed as: Tljim ¼ hmi Tm

i ðD m

lj=VÞ ð10Þ

where V denotes the average walking speed of passengers and Dm lj 3

is the extra-walking distance required to undertake commercial activities at positionðl; jÞ for passenger of departure flight m. Furthermore, Tm

i

4is the minimal time required to complete all necessary procedures for passenger itaking departure flight m, and can be formulated as:

Tm

i ¼ tcþ tIþ tsþ ðDmi =VÞ ð11Þ

where tc, tI, and tsdenote the times required for passengers to complete check-in, immigration, and security procedures, respectively; Dm

i represents the total walking distance of departure passenger i taking departure flight m who completes all necessary procedures without undertaking any commercial activities.

From the above discussion, the necessary condition that passenger i taking departure flight m undertaking commercial activities at Xk

lj is

TljimP Tk0 ð12Þ

where Tk0 is the shortest duration required for undertaking commercial activities at Xljk. Fur-thermore, as shown in Fig. 1, let FðhÞ represent the cumulative probability function of departure passengers with time budget h, and let TPk

dðXljkÞ denote the total number of departure passengers who possibly undertake commercial activities at Xk

lj, then TP k

dðXljkÞ can be formulated as: TPk dðX k ljÞ ¼ Xy m¼1 Z 1 hkm lj FðhÞ dh !  Qm Gk 0 m ! ð13Þ

where the lower bound of hkmlj is Tm i þ ðD

m

lj=VÞ þ Tk0, Qmdenotes the number of passengers taking flight m, and y represents the total number of departing flights.

Undertaking any particular commercial activity obviously reduces passenger time budget available for undertaking other commercial activities. Therefore, unless passengers have plenty of time they must choose what commercial activities they undertake carefully. Individual passenger choices differ from one another because of socioeconomic characteristics and perceptions.5

3

Dm

lj is not always the same due to different departing flights having different checking-in counters and boarding gates, which obviously have different locations.

4Notably, group passengers require more time to complete check-in procedures, because they must wait until all

members of the group have completed boarding procedures before they can obtain their boarding cards and are free to wander by themselves.

5

Nevertheless, most passengers make necessary commercial activities such as exchanging foreign currency and buying insurance their first priorities, while meals and shopping rank second.

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Therefore, the total number of passengers possibly undertaking commercial activities at Xk ljcan be determined by subtracting the number of passengers who do not have extra-time for undertaking commercial activities k at Xk

ljas they already undertake other commercial activities, Gk

0

m, as shown in the shaded area of Fig. 1 and Eq. (14). Moreover, Gk0

m can be formulated as:

Gkm0 ¼X z 1 k0¼1 Z hkmljþTk0 hkmlj FðhÞ dh  Qm ek 0 d ð14Þ

where k0 denotes commercial activities other than activity k at Xk

lj, Tk0 represents total time, including activity and walking time, required for passengers to undertake activities k0, and ek0

d is the proportion of departure passengers undertaking activities k0 before undertaking activity k.

Moreover, let Ck

dðXljkÞ denote the number of departure passengers actually undertaking com-mercial activities Xk

lj, then C k

dðXljkÞ can be formulated as: CkdðXk ljÞ ¼ TP k dðX k ljÞ  e k d ð15Þ where ek

drepresents the ratio of departure passengers who actually do undertake activity k to total departure passengers who possibly undertake activity k at Xk

lj. The values of ekd for banks and insurance companies are generally constant and independent of time, while the values of ek

d for certain types of shops vary with different time periods. 6The values of ek

ddecrease with passenger time budget for some types of shops, such as bookstores and coffee shops. Moreover, store attributes, size, price and service levels also influence ek

d. Cumulative Probability F( )km lj θ ' k km lj +T θ

Time Budget of Departure Passenger

1 θ

Fig. 1. Condition in which departure passengers can undertake commercial activity at Xk lj.

6

For example, time spent by consumers in restaurants is usually longer for dinners than for other meals. Moreover, late at night when there is no public transportation or scheduled shuttles demand for rental cars is generally much higher than at other time periods.

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3.2. Transfer passengers

The time budget of transfer passengers is the boarding time of their departure flights minus the flight arrival times of their arriving flight. Let hfi denote the time budget of transfer passenger i with arrival flight f , and hfi can be formulated as:

hfi ¼ tfbi tfb ð16Þ

where tbif represents the boarding time of transfer passenger i with arrival flight f , and tfb is the arrival time of arrival flight f .

Let Tikf represent the time available for transfer passenger i with arrival flight f to undertake commercial activities at Xk

lj, then T kf

i can be formulated as: Tikf ¼ hfi Tif ðD

kf

lj=VÞ ð17Þ

where Tif denotes total walking and processing time required for transfer passenger i with arrival flight f to complete all necessary transfer procedures, moreover, Dkflj=V represents the extra-walking time required for transfer passenger i on arrival flight f to undertake commercial activities at Xk

lj. Transfer passengers taking the same arrival flight do not always have the same amount of time available for consumption activities, since they may be departing on different flights.

Let TPkrðXk

ljÞ denote the total number of transfer passengers whose duration time at X k

ljis longer than the required shortest time to undertake commercial activities at Xk

lj. Then TP k rðXljkÞ can be formulated as: TPkrðXk ljÞ ¼ Xq f¼1 Xu i¼1 Iif; Iif ¼ 1; if T kf i P Tk0 0; otherwise  ð18Þ

where u denotes the number of transfer passengers taking flight f and q represents the total number of arriving flights. Therefore, the number of transfer passengers who actually undertake commercial activity at Xk

lj, CrkðXljkÞ, can be formulated as CrkðXljkÞ ¼ TP k

rðXljkÞ  ekr, where ekr denotes the ratio of transfer passengers who actually undertake commercial activity k to total transfer passengers.

3.3. Arrival passengers, well-wishers, greeters and airport employees

Arrival passengers, well-wishers, greeters and airport employees generally have more freedom to undertake commercial activities. The number of consumers in each of these categories increases with total number of individuals in each category. For example, demand for hotel counter service generally comes from foreign passengers. Table 2 summarizes the number of persons in each group actually undertaking commercial activity k at Xk

lj.

The above formulations can be used to estimate total number of consumers for different types of stores at different regions of the passenger terminal. Furthermore, Eqs. (8) and (7) can be used to estimate the concession revenue of every store. Consequently, mathematical models, that are Eqs. (4)–(6), can be used to allocate commercial space and locations among different types of stores to maximize total concession revenue.

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4. Case study

Chiang Kai-shek International Airport (CKS) is located in Taoyuan, Taiwan, ROC, about 40km from Taipei. With an area of 1223 ha, CKS has two terminals and two runways. Appendix B lists the main public facilities of CKS. Currently, 36 airlines operate at this air-port. 7

This study uses CKS as an example to demonstrate the feasibility and usefulness of the con-structed models for terminal commercial space allocation.8 Due to data availability, this study merely discusses the major commercial setting required by most passengers and the concessions that provide the main non-aviation revenue at CKS. The major five types of commercial shops include banks, insurance services, restaurants (including coffee shops), general stores and duty-free shops. Table 3 lists parameter data for these shops.

The simplifications regarding the case study and data are presented below: (a) Extra walking distance for undertaking commercial activity k at Xk

ljðDkljÞ: The values of Dkljare simplified into three ranges, that is under 10, 10–50, and over 50 m. This study also assumes that good guidance exists and thus passengers walk the shortest possible distance in complet-ing their business.

(b) Shortest time required for undertaking commercial activity k ðTk0Þ: The value of Tk0 is as-sumed to be constant for all passengers undertaking commercial activity k, and only those customers with duration of staying at Xk

lj longer than Tk0 will undertake this consumption activity. The value of Tk0 is estimated based on actual observations of the time required by customers for that particular commercial activity.

7

In 2000, passenger volume was 18,681,418, ranking tenth among Asian-Pacific area Airport Council International (ACI) members, and 54th around the world. Moreover, cargo volume was 1,298,838 tons, ranking 15th at Asian-Pacific area and 16th globally.

8

Types of commercial settings in CKS airport currently include banks, insurance service, post offices, telecommunication services, internet services, food and beverages, bookshop, general stores, duty-free stores, hotel reservation services, business centers, hairdressing salons and car rental, and so on.

Table 2

Number of persons in each group actually undertaking commercial activity k at Xk lj

Group types Formulas

Arrival passengers TPa xk eka

Well-wishers TPa raf ekaf

Greeters TPd rdf ekdf

Airport employees Wl ekw

Notation:

TPa, TPd, Wl: the total numbers of arrival, departure passengers and employees at region l, respectively.

xk, eka: the ratio of arrival passengers possibly and actually undertaking commercial activity k to total arrival passengers

and to those possibly undertaking, respectively. ek

af, e k df, e

k

w: the ratios of well-wishers, greeters and Wl actually undertaking commercial activity, respectively.

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Table 3

Parameter data of major shops Commercial activities (k) Tk0 Tk1 Tk2 Tk3 ek1d e k2 d e k3 d e k r e k a e k df e k af e k w ASk AMk Fk Banks 1.5 1.5 1.5 1.5 0.15 0.15 0.15 0 0.05 0 0 0 0.0825 250 0.1 Insurance 3.5 3.5 3.5 3.5 0.1 0.1 0.1 0 0 0 0 0 0.1075 830 0.15 Restaurant (mealtime) 25 45 30 25 0.65 0.5 0.4 0.1 0.01 0.05 0.15 0.2 1.6 200 0.12 Restaurant (other times) 25 45 30 25 0.16 0.12 0.1 0.02 0.002 0.01 0.06 0 1.6 150 0.12 Shops 5 15 10 8 0.13 0.1 0.08 0.05 0.002 0.005 0.01 0 1.8 400 0.1 Duty-free shops 10 25 15 12 0.3 0.27 0.25 0.1 0.1 0 0 0 3.3 2500 0.19 Notation:

Tk0, Tk: shortest time required and actual time required for undertaking commercial activity k, respectively. ek: the ratio of passengers who actually undertake activity k to total passengers who possibly undertake activity k. ASk: average space squired per consumer about commercial activity k.

AMk: average consumption per customer undertaking commercial activity k. Fk: concession charging ratio of type k store revenue.

Subscripts d, r, a, df, af, w: departure, transfer, and arrival passengers, well-wishers, greeters and employees, respectively. Subscripts 1, 2, 3: passengerÕs available time budgets are above 90, between 90 and 60, and under 60 min, respectively.

C.-I. Hsu, C.-C. Chao / Transportation Research Part E 4 1 (2005) 29–51

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(c) Time required for undertaking commercial activity k ðTkÞ: The time passengers spend on com-mercial activity at banks and insurance services is usually fixed and can be estimated by observing practical consumption activity. However, time on restaurants, shops, and duty-free shops decreases with the time budget available to passengers.9The time data is estimated by interviewing store clerks and passengers.

(d) The ratio of passengers who actually undertake activity k to total passengers who possibly undertake activity k (ek): The values of ek for restaurants, shops, and duty-free shops change with available passenger time budget. 10This study estimates the value of ek by investigating actual passenger and store manager behavior.

(e) Average space squired per consumer about commercial activity k ðASkÞ: According to an investigation by Civil Aeronautics Administration, MOTC, ROC (2000), this study estimates the number of departing passengers during the peak hour as being about 19% of the total departure passengers. The values of ASkfor all types of shops are estimated based on the pres-ent data and expressed in units of square meters.11

(f) Average consumption per customer undertaking commercial activity k at Xk

ljðAMkðXljkÞÞ: The values of AMkðXljkÞ used in the case study were estimated based on the average sales data from various stores at CKS in previous years, and these values do not vary due to changes in store size or location.

(g) Concession charging ratio of type k store revenue ðFkÞ: The values of Fk for restaurants, shops, duty-free shops are actual data investigated for CKS International Airport. Moreover, the values of Fk for banks and insurance service are estimated values from nearby air-ports.Those values result from bidding involving stores competing to rent the same store location.

Terminal 2 of CKS International Airport was opened on July 29, 2000. Facility fees and rents for the new facility are the same as those in the old terminal, a policy designed to encourage airlines to move to the new terminal. The number of passengers in the new terminal represents 22% of total passengers. This study uses passenger volume in January, 2002 to provide data for running the model.12Currently, neither terminal is being utilized at a level approaching its design capacity. The average time per passenger required for completing all procedures including waiting and walking, is estimated as 11.8 min. The cumulative distribution function of the time budget that departure passengers stay at the airport is estimated by Hsu (1993), as described in Appendix

9

To simplify the calculation, Tk1, Tk2and Tk3denote three consumption durations, respectively, for three ranges of available passenger time budget, that is above 90, 90–60, and under 60 min, respectively.

10

Three kinds of probabilities, that is ek1, ek2, and ek3, are used for three ranges of available passenger time budgets as those for Tk1, Tk2and Tk3.

11The average space required per customer for banks, insurance services, and restaurants is based on the optimum

configuration of seats of the present shops. No formal standards exist for general stores and duty-free shops, but larger shops display more goods, thus attracting more customers.

12

Average daily passenger volume of departures, arrivals, and transfers in Terminal 1 was 16611, 15092, 4367, respectively, while volumes in Terminal 2 were 4655, 4144, 1593, respectively.

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C. Well-wishers represent 47% of departure passengers, while greeters represent 57% of arrival passengers, based on previous studies by Jung (1995) and Civil Aeronautics Administration, MOTC, ROC (2000) for CKS International Airport.

4.1. Results

This study applies the models formulated in Section 3 to allocate spaces and positions for all kinds of commercial activities in Terminals 1 and 2. Appendix D shows the model results for square meters, positions, and concessions for all kinds of commercial activities. The results indicate that Terminal 1 has 440m2 of unused commercial spaces in the arrival area, while commercial space requirements in the departure area are 5899 m2 if relaxing the constrains of the maximum total available commercial space of 4400 m2. The results also show that if banks, insurance services, and duty-free shops are located within an average 10m extra-walking distance in non-controlled area and controlled area, and moreover if the remaining space for restaurants and general shops is secondly allocated following order of increasing extra-walking distance, then the model will identify NT$ 3,020,226 per day as the maximum possible concession.

The results of the model in case studies indicate that the locations of some stores are different from present location. That is, to maximize total concession revenue, some profitable stores should be moved to more accessible locations to attract more consumers. Since current passenger volume is just 22% of the designed capacity of Terminal 2, the commercial space required to satisfy current passenger demand is significantly less than the originally designed space. The utilization of commercial space in the departure and arrival areas is 30% and 13%, respectively, and all of the used space is located within an average 10m of average walking distance. The time budget available to passengers decreases with each commercial activity they complete. The results show that airport operators should locate stores with the large concession revenue per square meter per unit time in the more accessible positions with higher passenger flow. Such a config-uration can maximize total concession revenue.

Departure passengers in Terminal 1 for commercial activities must wait because space for commercial activities is insufficient during the peak hour. Furthermore, passengers arriving late may have insufficient time to consume due to additional walking time to reach stores in distance positions may mean passengers with time constraints are unable to consume. Therefore, the average concession revenue from each passenger in Terminal 1 is seven dollars less than that in Terminal 2. Accordingly, if airport operators encouraging more airlines to move to Terminal 2 not only can reduce the peak hour jam at Terminal 1, but also can improve service quality and increase commercial concession revenue. Likewise, where two or more terminals exist, this study assigns passenger volume to each terminal according to number of passengers following a general consideration of space for various public facilities, space available for commercial activities, and the location of commercial space in each terminal, so as to maximize total concession rev-enues.

Based on the data on current passenger volume and the maximum commercial space pres-ently available in the two terminals, this study finds that the models produce optimal results when Terminal 1 has 42–49% of total passenger volume, rather than the current 78%. More-over, such an allocation of passenger volume maximizes total concession revenue, increasing by

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Table 4

Optimal square meters, positions, and concessions for all types of commercial activities at Terminal 1 Commercial

activity (k)

Space demand (m2)

Allocated space (m2) at departure area Space demand (m2)

Allocated space (m2) at arrival area Conces-sions (NT$a/ day)

Non-controlled Controlled Non-controlled Controlled

(Walking distances, m) (Walking distances, m)

<1010–50>50<1010–50>50 <1010–50>50<1010–50>50 Banks 202000 000 7 7 0000042,637 Insurance 17 17 00 000 0 000000104,552 Restaurant 1536 463 800 0 0 273 0 220 93 69 0 0 58 0 87,445 Shops 377 00235 0142 014 014 000044,834 Duty-free 1485 0001200285 0543 000400143 01,533,716 Total 3435 500 800 235 1200 700 0 784 100 83 0 400 201 0 1,813,184 Capacity 4400 500 800 700 1200 700 500 1800 100 100 200 400 600 400 Difference 965 0 0 465 0 0 500 1016 0 17 200 0 399 400 a 1NT$ffi 0.029US$. Hsu, C.-C. Chao / Transportation Research Part E 4 1 (2005) 29–51 43

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Table 5

Optimal square meters, positions, and concessions for all types of commercial activities at Terminal 2 Commercial

activity (k)

Space demand (m2)

Allocated space (m2) at departure area Space demand (m2)

Allocated space (m2) at arrival area Conces-sions (NT$a/ day)

Non-controlled Controlled Non-controlled Controlled

(Walking distances, m) (Walking distances, m)

<1010–50>50<1010–50>50 <1010–50>50<1010–50>50 Banks 25 25 00 0008 8 0000052,110 Insurance 21 21 00 0000 000000127,779 Restaurant 1877 254 838 0 0 785 0 268 92 106 0 0 70 0 107,141 Shops 461 0162 149 0015017 017 000054,780 Duty-free 1815 0 0 0 1600 215 0 663 0 0 0 600 63 0 1,875,446 Total 4199 300 1000 149 1600 1000 150 956 100 123 0 600 133 0 2,217,256 Capacity 5700 300 1000 700 1600 1000 1100 2800 100 500 800 600 500 300 Difference 1501 0 0 551 0 0 950 1844 0 377 800 0 367 300 a1NT$ffi 0.029US$. C.-I. Hsu, C.-C. Chao / Transportation Research Part E 4 1 (2005) 29–51

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116,723 dollars per day and balancing the use of the two terminals. Tables 4 and 5 list the optimal square meter area, positions, and concession for all kinds of commercial activities at the two terminals at CKS when the passenger volume at Terminal 1 is reduced to 45% of total passenger volume. Decisions of airlines to move their operations to a new terminal are likely depend on operational procedures and operating costs. Likewise, with two or more terminals exist, allocating traffic more or less proportional to the total space available to public facilities and commercial activities will maximize commercial revenues. Airline operating cost and pro-cedural efficiency also depend on whether allocated space distribution is proportional to their traffic. Therefore, the results are consistent regardless of whether space is allocated to maximize efficiency of airline operating costs and procedures, or allocated proportionally based on airline traffic.

4.2. Relationship between public facility service level and concession revenue

Available time budgets and store location influences demand for commercial space from departure passengers, and demand for commercial space thus decreases with increasing passenger processing time and walking distance. The case study presented here further considers how to distribute terminal space between commercial activities and public facilities related to departure passenger processing. This study analyzes the relationship between maximizing concession reve-nue and public facility service levels.

Table 6 lists the results of this investigation regarding the concession revenue and total square meters for commercial activities in the departure areas, under different service levels of public facilities defined by IATA (1995) and under assuming that Terminal 2 passenger volume is approaching its design capacity. Total square meter area of public facilities is estimated using the approach suggested by IATA (1995) for different service levels. The average passenger processing time is also estimated for each service level. The results show that to maximize concession revenue, the ratio of commercial space to public facility space increases with decreasing levels-of-service. The reason is due to departure passengers will increase their pro-cedure time when the level-of-service decreases and the decreasing rate of the space demand for commercial activities due to the increased procedure time is less than the reduced public facil-ity space due to the reduced level-of-service. Table 6 also shows that concession revenue is

Table 6

Largest obtained concession and the total commercial space under different service levels Level-of-service

A B C D E

Departure procedure time (min) 10.5 12.2 14.4 17.6 23.1

Departure public area (m2) 20,039 17,347 14,655 11,964 9122

Commercial activities area (m2) 77607654 7512 7289 6860

Commercial/public 0.387 0.441 0.513 0.609 0.752

Largest concessions (NT$a/day) 3,360,834 3,313,746 3,233,190 3,131,946 2,937,815 a

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maximized under service level A. However, this service level requires more space for both public facilities and commercial activities than other service levels, and thus incurs tremendous con-struction costs.

International airports currently are facing a highly competitive environment and moreover increasingly are required to be self-financing. As for the space allocation of the terminal building, public facilities must maintain a certain of-service to be competitive. To determine which level-of-service for public facilities maximizes concession revenue, this study applies three future levels of passenger volume, that is, equal to the designed capacity, and over the designed capacity with 10% and 20%, respectively, on Terminal 2 of CKS International Airport. When passenger volume and designed capacity are the same, that is, 17 million persons per year, the level-of-service is between B and C, and the ratio of space for commercial activities to that of public facilities is 0.475 in the departure area. Maximum concession revenue is 3,268,654 dollars per day, and is obtained when the average departure passenger processing time is 13.2 min. Concession revenue increases by up to 78,998 dollars per day in this scheme compared with the original scheme, as listed in Table 7. 2,200 2,400 2,600 2,800 3,000 3,200 3,400 3,600 3,800 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0

Procedure time, min

Concessions (NT $1,000/day)

100% 110% 120%

Fig. 2. Concession revenue versus public facility procedure time under different passenger volumes. Table 7

Concessions obtained under different passenger volumes and service levels unit: (NT$a/day)

Passenger volume Largest concession Original designed Level-of-service A B C D E Equal capacity 3,268,654 3,189,656 3,042,784 3,196,000 3,233,190 3,131,946 2,937,815 Over capacity 10% 3,529,133 3,414,738 2,399,310 3,307,330 3,493,005 3,458,862 3,249,776 Over capacity 20% 3,783,981 3,655,089 0 3,299,305 3,670,286 3,773,178 3,554,438 a1NT$ffi 0.029US$.

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Aiming to increase level-of-service in allocating space for public facilities will result in a shortage of commercial space; on the other hand, reducing level-of-service will result in idle commercial space. However, to maximize concession revenue, level-of-service considerations in allocating space for public facilities should be adjusted according to passenger volumes. The level-of-service that should be applied to maximize concession revenue decreases with increasing passenger volume, as shown in Fig. 2. The results indicate that, due to original design space for public facilities adopting the higher level of service, when passenger volume increases, concession revenue can be increased by reducing service level. That is, this study increases commercial space while reducing public facility space, yet the extent of these increases and decreases should be controlled to maintain the level of service required for an International Airport.

5. Conclusions

Previous studies on space allocation in terminal buildings have mainly focused on public facilities. Most of these previous studies dealt with the problem from architectural and/or oper-ations research perspectives. However, the main issues in airport management studies have pre-viously been airport pricing and airport productivity or performance. This study explores the relationships among concession revenue, passenger service level and space allocation for public facilities and commercial activities at international passenger terminals. This study aims to de-velop a new space allocation model that can be used in practice to allocate space for various commercial activities and maximize the concession revenue under different passenger volumes or service levels.

The results show that total commercial revenues can be maximized by allocating the stores with more concession revenue per square meter per unit time in the more accessible positions in the terminal building. In the case study presented here, the results related to the optimal square meter measures and locations for every kind of store at every region of the two terminals could provide references for use in terminal planning and lease management. The analytical results also show that if the operators of CKS International Airport allocate 42–49% of passengers to use the Terminal 1 instead of current 78%, it will balance the use of two terminals and obtain the maximum concession revenue.

On the other hand, the result of the this study shows that to maintain the same public facility service level, the space required for commercial activities increases proportionally with passenger volume, while the concession revenue does not increase by the same proportion, and instead de-pends on the allocated locations. To maximize concession revenue, even given constant passenger volume, the required commercial space is not the same and its ratio to public facility space also differs for different public facility service levels. The ratio of commercial space to public facility space increases with reducing public facility service level. This finding provides a new reference for airport designers who used to adopt the same ratio without further considering changes in the service level of public facility. For the established passenger terminal, if the operators

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of airports aim at maximizing commercial concession then they may lower public facility service level in response to increased passenger volume due to the limitation of the original space.

This study suggests that if the airports that incorporate a high public facility service in their original design may reduce public facility space while increasing commercial space, thus increasing commercial concession revenue. However, this study also suggested that the service level should not be reduced below the standard required for an International Airport to preserve competitive advantage. Passenger arrival time depends not only on passenger estimates of the time required to reach the airport and terminal processing time but also on air trip types (such as group or individual, business or leisure) and trip length. The cumulative probability function of departure passenger time budget differs among airports due to different passenger compositions. Future studies of other airports should investigate and calibrate passenger time budget function to apply the model to reduce error.

Acknowledgements

The authors would like to thank the National Science Council of the Republic of China for financially supporting this research. The constructive comments of the anonymous referees and Editor-in-Chief are greatly appreciated.

AppendixA. Level of service measures by IATA

Level of service standards (sq. meter/occupant)

A B C D E F

Check-in queue area 1.8 1.6 1.4 1.2

1.0BREAK-DOWN SYSTEM

Wait/circulate 2.7 2.3 1.9 1.5 1.0

Hold room 1.4 1.2 1.0 0.8 0.6

Bag claim area (excl. claim device) 2.01.8 1.6 1.4 1.2

GIS 1.4 1.2 1.0 0.8 0.6

A Excellent level of service; condition of free flow; excellent level of comfort.

B High level of service; condition of stable flow; very few delays; high level of comfort. C Good level of service; condition of stable flow; acceptable delays; good level of comfort. D Adequate level of service; condition of unstable flow; acceptable delays for short periods of

time; adequate level of comfort.

E Inadequate level of service; condition of unstable flow; unacceptable delays; inadequate level of comfort.

F Unacceptable level of service; condition of cross-flows, system breakdown and unacceptable delays; unacceptable level of comfort.

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AppendixB. Public facilities at CKS airport

AppendixC. Cumulative probability function of departure passengers with time budget h

Hsu (1993) investigated the distribution of airport arrival time for departure passengers, using passengers from eight departure flights departing from CKS airport as a sample. The cumulative probability function of passenger arrival time at the airport from the beginning time of check-in to the designated departure time was calibrated as:

FðtÞ ¼ ½68:1565 þ 0:0896  t2þ 0:0023  t3þ 14:4944  ðt 50Þ  J 0:8918  ðt 50Þ2

 J =2005 ðC:1Þ where J is a binary variable, and J ¼ 0if 06 t 6 50, J ¼ 1 if 50 < t 6 130. The total study period is 150min and random variable t denotes passenger arrival time elapsed from the beginning of check-in time, t¼ 0. Furthermore, let the duration from the arrival time of any passenger to designated departure time is h, that is, passenger time budget at the terminal, in which the cumulative probability function of h can be further obtained by transforming the cumulative passenger probability function FðhÞ as:

FðhÞ ¼ 1 ½68:1565 þ 0:0896  ð150 hÞ2þ 0:0023  ð150 hÞ3þ 14:4944  ð100 hÞ  J

0:8918  ð100 hÞ2 J =2005 ðC:2Þ

where J is a binary variable, and J ¼ 1 if 20 6 h 6 100, J ¼ 0if 100< h 6 150. Since only 3.4% passengers arrived at the airport earlier than 150min before the flight departure time, and since these passengers usually have enough time for any commercial activities, the cumulative proba-bility for the arrival time of these passengers can be simply expressed as Fð1Þ F ð150Þ ¼ 0:034.

Item Terminal 1 Terminal 2

Construction type Three stories construction with one level basement

Four stories construction with one level basement

Total floor area 169,500 m2 208,000 m2

Building height 25.7 m 47.6 m

Handling capacity 12 million per year 17 million per year

Peak hour capacity 6300 passengers 5000 passengers

Boarding gates 21 20

Checking-in counters 10(240desks) 8 (158 desks)

Departure immigration counters 48 42

Security inspection 8 10

Passenger aircraft aprons 28 27

Arrival immigration counters 36 58

Baggage conveyers 6 6

Baggage inspection 23 34

Parking stalls 2207 4133

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AppendixD. Model results for square meters, positions, and concessions for all kinds of commercial activities at Terminals 1 and 2 Commercial activity (k) Space demand (m2)

Allocated space (m2) at departure area Space

demand (m2)

Allocated space (m2) at arrival area Concessions

(NT$a

/day)

Non-controlled Controlled Non-controlled Controlled

(Walking distances, m) (Walking distances, m)

<1010–50>50<1010–50>50 <1010–50>50<1010–50>50 Terminal 1 Banks 35 35 00 00012 12 0000074,090 Insurance 303000 0000000000181,475 Restaurant 2643 435 800 550 0 0 50 377 88 100 135 0 54 0 140,197 Shops 649 00150 002025 0025 00036,378 Duty-free 2562 0 0 0 1200 700 430 946 00 0 400 546 0 2,588,086 Total 5899 500 800 700 1200 700 500 1360 100 100 160 400 600 0 3,020,226 Capacity 4400 500 800 700 1200 700 500 1800 100 100 200 400 600 400 Difference )1499 000 000440004000400 Terminal 2 Banks 101000 0003 3 0000020,656 Insurance 8 8 00 000000000050,856 Restaurant 769 282 00487 00111 800031 0043,944 Shops 187 09 0178 007 7 0000022,529 Duty-free 738 000738 0026000026000755,506 Total 1712 3009 01403 00381 9000291 00893,491 Capacity 5700 300 1000 700 1600 1000 1100 2800 100 500 800 600 500 300 Difference 3988 0 991 700 197 1000 1100 2419 10 500 800 309 500 300 a 1NT$ffi 0.029US$. C.-I. Hsu, C.-C. Chao / Transportation Research Part E 4 1 (2005) 29–51

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References

Ashford, N., Hawkins, N., OÕleary, M., Bennetts, D., Ginity, P.M., 1976. Passenger behavior and design of airport terminal. Transportation Research Record 588.

Civil Aeronautics Administration, Ministry of Transportation and Communications, ROC, 1999. The Feasibility of Reorganizing CKSÕs Operating Structure. Civil Aeronautics Administration, Republic of China (in Chinese). Civil Aeronautics Administration, Ministry of Transportation and Communications, ROC, 2000. Chiang Kai-Shek

International Airport Renewed Master Plan. Civil Aeronautics Administration, Republic of China (in Chinese). Department of Transportation, Transportation Systems Center, and Federal Aviation Administration, 1980. Airport

Ground Access Planning Guide. FAA-EM-80-9, Washington. Doganis, R., 1992. The Airport Business. Rountledge, London.

Gillen, D., Lall, A., 1997. Developing measure of airport productivity and performance: an application of data envelopment analysis. Transportation Research E 33 (4), 261–273.

Hamzaee, R.G., Vasigh, B., 2000. A simple revenue-cost perspective on US airport operations. Journal of Air Transport Management 6, 61–64.

Hensher, D.A., Hooper, P.G., 1997. Measuring total factor productivity of airports- an index number approach. Transportation Research E 33 (4), 249–259.

Hsu, F.Y., 1993. Modeling passenger distribution at airport terminal facilities. Master Thesis, National Chiao Tung University, Hsinchu, Taiwan (in Chinese).

International Air Transport Association (IATA) (Ed.), 1989. Airport Terminals Reference Manual. International Air Transport Association (IATA) (Ed.), 1995. Airport Development Reference Manual.

Jung, T.L., 1995. Simulating CKS terminal operation for departure passenger. Master Thesis, National Chiao Tung University, Hsinchu, Taiwan (in Chinese).

Martel, N., Seneviratne, P.N., 1990. Analysis of factors influencing quality of service in passenger terminal buildings. Transportation Research Record 1273.

Mckelvey, F.X., 1988. Use of analytical queuing model for airport terminal design. Transportation Research Record 1199.

Mckelvey, F.X., 1989. A review of airport terminal system simulation models. Final Report, Department of Transportation, Transportation Systems Center, Cambridge, Mass.

Mumayiz, S.A., 1991. Evaluating performance and service measures for the airport landside. Transportation Research Record 1296.

Oum, T., Zhang, Y., 1990. Airport pricing: congestion tolls, lumpy investment and cost recovery. Journal of Public Economics 43, 353–374.

Pels, E., Nijkamp, P., Rietveld, P., 1997. Substitution and complementarity in aviation: airports VS airlines. Transportation Research E 33 (4), 275–286.

Piper, D.H.P., 1990. Estimation the passenger flow in departure halls. Airport Forum, May 262–270.

Seneviratne, P.N., Martel, N., 1991. Variables influencing performance of air terminal buildings. Transportation Planning and Technology 16, 3–28.

Vasigh, B., Hamzaee, R.G., 1998. A comparative analysis of economic of US commercial airport. Journal of Air Transport Management 4, 209–216.

Yen, J.R., 1995. A new approach to measure the level of service of procedures in the airport landside. Transportation Planning Journal 24 (3), 323–336 (in Chinese).

Zhang, A., Zhang, Y., 1997. Concession revenue and optimal airport pricing. Transportation Research E 33 (4), 287– 296.

數據

Fig. 1. Condition in which departure passengers can undertake commercial activity at X k lj .
Table 6 lists the results of this investigation regarding the concession revenue and total square meters for commercial activities in the departure areas, under different service levels of public facilities defined by IATA (1995) and under assuming that Term
Fig. 2. Concession revenue versus public facility procedure time under different passenger volumes.Table 7

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