• 沒有找到結果。

本研究歸納的結論如下:

1. 針對 DDBAP,本研究以 Imai et al. (2001)做為比較基礎,成功導入啟發式解法 -螞蟻演算法到此問題上。將演算法的求解機制納入船席指派的概念,包含船 舶抵達時間的資訊,以及過去的求解經驗等都將一併納入考量。能有效提供給 碼頭營運商船舶分派的優先順序以做為船席指派之用。另外,透過本研究自行 開發的 GAR1 以及 GAR2,將螞蟻演算法提供的指派順序,轉化為相應的船席 位置,碼頭營運者即可得知任一艘船須在何時、何處進行指派作業。

2. 進一步探討本研究的迭代效果分析,可發現在不同的試行結果之下,不僅末代 的平均目標式值能顯著地低於首代的平均目標式值,而迭代之中的最小目標式 值也同樣低於首代的最小目標式值。此結果說明螞蟻演算法能發揮功效,透過 回饋機制,使得求解系統產生更為優化的求解次序,並強化求解品質。

3. 比較 GAR1 以及 GAR2 的求解效能,本研究透過規模大小相異的例題,進行 比較。可發現在小範圍的例題中,GAR2 與 GAR1 的求解能力相去不遠。但在 範疇更大的例題當中,GAR2 的尋優效果便可顯著地提升。一旦問題的複雜程 度越高,更能彰顯 GAR2 的求解功效。

4. 本研究透過螞蟻演算法搭配 GAR2 的求解機制與 Imai et al. (2001)進行比較,

可發現無論問題的規模大小,本研究的求解能力都較為卓越。此舉顯示本研究 在處理船席指派的問題上,的確有其代表性,也可供其他欲投入螞蟻演算法到 船席指派之學者作為參考。

本研究提出的建議如下:

1. 本研究所探討的問題情境仍可再加入更多管理意涵,例如時間窗限制、船舶的 權重因子等要件,可繼續研究螞蟻演算法在情境更為複雜下的求解能力。

2. 可進一步把螞蟻演算法的概念導入連續型的船席指派問題,觀察是否能有更好 之結果可展現。

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參考文獻

Buhrkal, K., Zuglian, S., Ropke, S., Larsen, J., and Lusby, R. (2011), “Models for the discrete berth allocation problem: A computational comparison,” Transportation Research Part E, Vol. 47, pp. 461–473.

Cordeau, J.-F., Laportc, G., Legato, P. and Moccia, L. (2005), “Models and tabu search heuristics for the berth allocation problem,” Transportation Science, Vol. 39, pp.

526-538.

Cheong, C.Y., and Tan, K.C.(2008), “A multi-objective multi-colony ant algorithm for solving the berth allocation problem,” Studies in Computational Intelligence (SCI) 116, 333–350 .

Christensen, C.G.. and Holst, C.T. (2008), Berth Allocation in Container Terminals (in Danish), Master Thesis, Department of Informatics and Mathematical Modeling, Technical University of Denmark, Denmark.

Dorigo, M. (1992) Optimization, Learning and Natural Algorithms (in Italian), Ph.D.

Dissertation, Dipartimento di Elettronica, Politecnico di Milano, Italy.

Dorigo, M., Birattari, M. and Stutzle, T. (2006), “Ant colony optimization,” IEEE Computational Intelligence Magazine, Vol. 1, pp. 28-39.

Dorigo, M. and Stutzle, T. (2004), Ant Colony Optimization, MIT Press, Cambridge, MA.

Dorigo, M. and Gambardella, L.M. (1997), “Ant colony system - a cooperative learning approach to the traveling salesman problem,” IEEE Transactions on Evolutionary Computation, Vol. 1, pp. 53-66.

Dorigo, M., Maniezzo, V. and Colorni, A. (1996), “Ant system: optimization by a colony of cooperating agents,” IEEE Transactions on Systems, Man, and Cybernetics- Part B, Vol. 26, pp. 29-41.

Golias, M. M., Boile, M., and Theofanis, S., (2009), “Berth scheduling by customer service differentiation: A multi-objective approach,” Transportation Research Part E, Vol. 45, pp. 878–892.

Golias, M. M., Boile, M., and Theofanis, S., (2010), “A lamda-optimal based heuristic for the berth scheduling problem,” Transportation Research Part C, Vol. 18, pp.

794–806.

30

Hansen, P., Oguz, C. and Mladenovic, N. (2008), “Variable neighborhood search for minimum cost berth allocation.” European Journal of Operational Research, Vol.131, pp. 636-649.

Imai, A., Nishimura, E. and Papadimitriou, S. (2001), “The dynamic berth allocation problem for a container port,” Transportation Research Part B, Vol. 35, pp.

401-417.

Imai, A., Nishimura, E. and Papadimitriou, S. (2003), “Berth allocation with service priority,” Transportation Research Part B, Vol. 37, pp. 437-457.

Imai, A., Nishimura, E., Hattori, M. and Papadimitriou, S. (2007), “Berth allocation at indented berths for mega-containerships,” European Journal of Operation Research, Vol. 179, 579-593

Imai, A., Zhang, J. Nishimura, E., and Papadimitriou, S. (2007), “The berth allocation problem with service time and delay time objectives,” Maritime Economics and Logistics, Vol. 9, pp. 269–290..

Imai, A., Nishimura, E., and Papadimitriou, S. (2008), “Berthing ships at a multi-user container terminal with a limited quay capacity,” Transportation Research Part E, Vol. 44, pp. 136-151.

Monaco, M.F. and Samara, M. (2007), “The berth allocation problem: A strong formulation solved by a Lagrangian Approach,” Transportation Science, Vol. 41, pp. 265-280.

Mullen, R. J., Monekosso, D., Barman, S. and Remagnino, P. (2009), “A review of ant algorithms,” Expert Systems with Applications, Vol. 36, pp. 9608-9617.

Nishimura, E., Imai, A., and Papadimitriou, S. (2001), “Berth allocation planning in the public berth system by genetic algorithms,” European Journal of Operational Research, Vol. 131, pp. 282-292.

Stutzle, T. and Hoos, H. H. (1997), “The MAX-MIN Ant System and local search for the traveling salesman problem,” in Back, T. et al., (eds.), Proceedings of the 1997 IEEE International Conference on Evolutionary Computation (ICEC’97), IEEE Press, Piscataway, NJ, pp. 309–314

Theofanis, S., Boile, M., Golias, M. M. (2009), “Container terminal berth planning - Critical review of research approaches and practical challenges,” Transportation Research Record, Vol. 2100, pp. 22-28.

Tong, C. J., Lau, H. C., and Lim, A. (1999), “Ant Colony Optimization for theShip

31

Berthing Problem,” Asian Computer Science Conference , pp. 359-370.

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簡歷

中文姓名:陳儀安 英文姓名:Yi-An Chen

出生日期:民國 74 年 11 月 4 日

聯絡地址:桃園市經國路 555 號 5 樓之 1 聯絡電話:0939-672216

E-mail : yian41@gmail.com 簡歷:

民國 101 年 7 月 國立交通大學 運輸科技暨管理學系 碩士班畢業 民國 97 年 6 月 國立中正大學 財務金融學系 畢業

民國 93 年 6 月 國立桃園高級中學 畢業 民國 90 年 6 月 桃園縣立慈文國民中學 畢業 民國 87 年 6 月 桃園縣立北門國民小學 畢業

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