應用記憶體內運算於多維度多顆粒度資料探勘之研究―以醫療服務創新為例 - 政大學術集成
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(3) (. (. (knowledge) (. ). → (. (. Hadoop MapReduce (single-node). ( MapReduce Spark. ○ ( 、. Map. 「. (. Reduce. (. ( 100. 1. Spark. Hadoop. 4. Spark. Hadoop Spark. (. (. Apriori Algorithm.
(4) Abstract Under the population aging and population growth and rising demand for Healthcare. Healthcare is facing a big issue how to effectively deal with huge amounts of data. Cased by new healthcare services or applications (such as electronic health records or health care, etc), and also medical institutions in accordance with government policy for long-term preservation of a large number of patient data. But the traditional algorithms for mining association rules, subject to considerable restrictions on their effectiveness. Therefore, many studies suggest that the association rules algorithm in a distributed computing, such as Hadoop MapReduce framework implements parallel to process huge amounts of data operations. But in fact, MapReduce does not apply to require intensive iterative computation algorithm of association rules. Studied in this Spark in-memory computing framework, implemented on a distributed cluster parallel mining association rules mining multidimensional granularity, the experimental results can be summed up in the following three points. 1th, when data is small, due to the parallel data flow consists of Map and Reduce, so not much in the small-scale processing of benefits. 2nd, when the data size is large, parallel strategy models and stand-alone obviously significant differences overall running time is 100 times as much when the item number is greater than 10,000, however, stand-alone version cannot run due to insufficient memory, but parallel strategies can still run. 3rd, overall Spark though somewhat slower than the single version in small scale processing speed, but the running time is less than 4 times times the Hadoop. Massive processing speed Spark is still superior to the Hadoop version. Therefore, when working with large data, operational efficiency and expansion elasticity, Spark for optimum solutions.. Keywords: Data Mining, Multidimensional and Multi-granularity Data Mining Association Analysis, In-Memory Computing, Apriori Algorithm.
(5) .................................................................................................................................................. I .................................................................................................................................................. I ............................................................................................................................................ IV ............................................................................................................................................ VI. ........................................................................................................................... 1. 1. ............................................................................................................................... 1. 2. ............................................................................................................................... 2. 3. ............................................................................................................................... 3. 1. 2. ................................................................................................................... 4 ........................................................................................... 4. (. ............................................................................................................................... 5. 2.1. .................................................................................................................. 5. 2.2. .............................................................................................................. 6. ................................................................................................................. 11. 3.1. QUANTITATIVE ASSOCIATION RULES ............................................................................................. 11. 3.2. ASSOCIATION RULE CLUSTERING SYSTEM ...................................................................................... 12. 3.3. BOOLEAN MATRIX BASED APPROACH ........................................................................................... 12. MAP-REDUCE .......................................................................................................................... 13. 3. 4. 4.1. MAP-REDUCE. ..................................................................................................... 13. 4.2. APACHE HADOOP ..................................................................................................................... 16. ( 1 ).. HADOOP MAPREDUCE .............................................................................................................. 16. ( 2 ).. APACHE HADOOP HDFS ............................................................................................................ 17 i.
(6) . (IN-MEMORY COMPUTING) ............................................................................... 18. 4.1. ................................................................................................. 18. 4.2. APACHE SPARK ......................................................................................................................... 19. 5. 1. ................................................................................... 22. ............................................................................................................................. 22. 1.1. (. (MULTI-DIMENSION DATABASE, MD) ................................................................... 22. 1.2. (CONCEPT HIERARCHY, CH) ............................................................................ 23. 1.3. (MULTI-DIMENSION PATTERNS) .............................................................................. 24. 1.4. (MULTI-DIMENSION ASSOCIATION RULES) .......................................................... 26. 2. 「. ......................................................................................................................... 27. 2.1. 0. ...................................................................................... 29. 2.2. 1. .......................................................................... 30. 2.3. 2. .......................................................................... 31. 2.4. 3. .......................................................................... 33. 3. ................................................................. 34. 3.1. ........................................................................................................ 35. APRIORI. 3.2. ............................................. ERROR! BOOKMARK NOT DEFINED.. ...................................................................................................... 37. 1. ................................................................................................. 37. 2. ................................................................................................. 38. 2.1. ............................................................................................................. 39. 2.2. ......................................................................................................... 40. 3. 3.1. →. (. .................................................................... 42. ............................................................................................................................. 42 ii.
(7) 3.2. 「. 3.3. ............................................................................................................................. 43 ............................................................................................................................. 44. ...................................................................................................... 46. 1. ......................................................................................................................... 46. 2. ..................................................................................................................... 46 ........................................................................................................................................ 47. iii.
(8) . ..................................................................................................... 7. AIS. ................................................................................................ 7. APRIORI. APRIORI. (. (. MAPREDUCE. (. (. ). (. .............................................................................................. 12. ............................................................................................................................. 12 ) ARCS. ( 「. HDFS. 2 ...................................................................................................................... 11. ( ):. : AGRAWAL,1994) .................................................................................... 8. ((. (. ....................................................................... 13. ). (JEFFREY DEAN AND SANJAY GHEMAWAT,2004) .................................................. 14 : HTTP://CCWEB.KM.NCCU.EDU.TW) .................................................................. 17 ......................................................... 19. (. (ZAHARIA ET AL.,2012) ....................................................................................... 20. SPARK. RDD. (ZAHARIA ET AL.,2012) ................................................................................. 21. SPARK. (ZAHARIA ET AL.,2012) ................................................................................ 21. .......................................................................................... 23. CH1. ........................................................................................... 24. ........................................................................................... 24. ..................................................................................................................... 25. ......................................................................................................................... 25. ......................................................................................................................... 26. ................................................................................................. 27. ................................................................................................................. 28. ................................................................................................................................. 28. (. ..................................................................... 29. MD : iv.
(9) . ................................................................................................. 29. (MAPPING TABLE) .............................................................. 30. ............................................................................................................. 31. . ............................................................................................................. 32. ..................................................................................................... 33. ................................................................................................... 32. ............................................................................................................. 34. 「 「. QIU, ET AL, 2014) .............................................................................. 35. 1 ((. QIU, ET AL, 2014) ........................................................................... 36. 2 ((. ..................................................................................................... 36. ......................................................................................................... 38. TYPEI. -. .................................................................. 39. TYPEII. -. ................................................................. 40. TYPEIII. -. ................................................................. 41. TYPEIIV. ................................................................... 41. -. ................................................................................................................. 42. v.
(10) 1. 1 ...................................................................................................................... 5. (. 2. (. MD .................................................................................................................... 22 ............................................................................................................................... 37. 3 ( 4. ........................................................................................................................... 37. 5. ................................................................................................................................... 38. 6. (. MD ........................................................................................................................ 42. 7. (ELEMENT PATTERNS, EI) .......................................................................................... 43. 8. (MAPPING TABLE) ....................................................................................... 44. 9. ................................................................................................... 45. 10. 0.5. 1. ...................................................................................... 46. vi.
(11) 1 ; IDC. (. 2010. 2020. 81% ( IDC. (. (. 2014 48%. (. ). →. ( ( (. (. (knowledge) ( ) (QoS) (. →. ( 。 ( → →. (Korea Medical Insurance Corporation ,KMIC). (Chae et al., 2001) 48. 43. ( 、. ( (. 1.
(12) 2 (Agrawl et al., 1993). (. (Large itemsets) (Association rules). (iterative). 」. k-1. (. I/O. (. (. ). (. ). ( 2009. Google. (Cloud Computing). (. (Task). (Process) MapReduce. - (Dean and Ghemawat,2004). ( Hadoop MapReduce. (Yang X.Y., 2010; Li L. & Zhang M., 2011; Li N et al., 2012) (single-node). MapReduce (Dean and Ghemawat,2004). MapReduce. MapReduce. I/O. 2. (job). HDFS.
(13) 3 Apache Spark (Matei Zaharia et al.,. ; 2012). Spark. ( In-Memory Computing (Random Access Memory. ( RAM). ( Hadoop MapReduce Apache Spark Spark Hadoop MapReduce. 18. Apriori. (Hongjian Qiu et al., 2014) (Chiang,. ( Johannes, and Chia-Chi Wu,2005) (patterns). (. (. ). (. ). Spark. (. →. 3. (.
(14) 1. (. (. ). (QoS). →. (. 。. (. (. :. → (1). : 。. → 。. (2). :. ( VIP. (3). : 。. (4). : MRI. (5). →. / 。. :. (. 4.
(15) 2 (Association Rule). (. AIS. ( (scalability). ( Apriori. (Agrawl et al., 1994). AIS. Apriori. (. ( 1. {. à. (. }. (Cross-Selling) TID. ITEMS 1. {. ,. }. 2. {. ,. ,. ,. }. 3. {. ,. ,. ,. }. 4. {. ,. ,. ,. }. 5. {. ,. ,. ,. }. 1. 1. (. 2.1 (. D (. 1. ). TID. (. I = #$ , #& , ⋯ , #( *+. I. T = *$ , *& , ⋯ , *-. (itemset). X=. I. A⟶B ( 2. 3 = ∅ ). A⟶B. 5. B. A. B A.
(16) A. (. B. (A) = . (A ⟶ B ) = . A. A. A. D. ( (. D. B. D. (. A. D. (. D. 2.2 (1). (large. itemsets or frequent itemsets). (minsup) (2). (1). (minconf). AIS (1). (. 2n. n. Apriori. AIS Apriori. AIS. Apriori. 「. k-1. k (. ). 6.
(17) AIS. Apriori. 7.
(18) Apriori. ((. : Agrawal,1994). Apriori. 」 (. (. Apriori. (. l. AprioriTid ( TID ( TID (. (Agrawal et. al.,1994) l. FP-TREE prefix-tree. (. divide-and-conquer ( (Han et al.,2000). 8. 2.
(19) (. l. Partition. n. (. n. l. Sampling. (. (. ( (. (Chuang et al.,2005) l. Segmentation. ( (patterns). (Chiang, Johannes, and Chia-Chi Wu, 2005). l. FDM ( Apriori. (. distributed (global) pruning (Cheung et al., 1996). DDM. local pruning. (Schuster. et al.,2004) l. Apriori 9. MapReduce.
(20) Division. ( Allocation. (. (Yang X.Y., 2010; Li L.. & Zhang M., 2011; Li N et al., 2012) l. YAFIM Spark. Apriori RDD. (In-memory. computing). (Qiu, et. al, 2014). l. dataset filtering ( ( (Wojciechowski et al, 2002). l. Category-based. Apriori. (Tien Dung Do et al, 2003) l. RARM. (. (. ( (. (Das et. 10.
(21) al, 2001). 3 (single-dimensional association rules) (". "). (". "). (multidimensional association rules) ". "20" ) ⋀ (. (. ". ")⇒(. ,. ") (intra-dimensional. association rules) (hybrid-dimensional association rule). 3.1. (. : (. (. Quantitative Association Rules. )(. (. (. ( ( (. :. (Ramakrishnan Srikant, Rakesh Agrawal, 1996). (. 11. 2. ).
(22) (. (. (. ). (. 3.2. Association Rule Clustering System. ARCS. LHS (. ( (. ):. ). (. 2 ). (. ). (BinArray). :. (. 3.3. RHS. (. ). (Brian Lenty, et al., 1993). Boolean Matrix based Approach. (Chiang, Johannes, and Chia-Chi Wu, 2005) (Neelu Khare et al., 2010) ( n. (. *(. m. ”1”. ( (. 2:×<. :. ( ”0”. ) ). A′ m. 12. k+1 2:>×<.
(23) (. 4. ) ARCS. (. ). Map-Reduce. Google. (Google File System, GFS)(Sanjay. Ghemawat et al.,2003). MapReduce. (. Sanjay Ghemawat,2004). GFS. BigTable. (Cloud Computing). ,. 4.1. (Jeffrey Dean and. ( (. ( (Big Data). Map-Reduce. MapReduce. MapReduce. ( (. MapReduce. MapReduce (. (. MapReduce. ( Map. (. (. (. Reduce. (. ). MapReduce. 「. 「 (1) MapReduce. ( 13. M. 「.
(24) 16~64M. (. ). MapReduce. Master (2) Master. worker M. Map. worker. worker. (3). Map (. worker. (. key/value pair. Map. key/value pair. Map. MapReduce. (4). 「. Map (. Reduce. worker. ( Map. R. (Jeffrey Dean and Sanjay Ghemawat,2004). worker. (. key/value pair. ( 14.
(25) Map. Map. key/value pair. Map (5) partition. R. (. Master (6). Master. Master Reduce. Reduce. (. worker. worker. (. Map worker. (. ,. key. (. (7) Reduce worker. key. Reduce. value. Reduce Reduce. (8). Map. Reduce. Master. MapReduce R. RPC. Reduce worker. key. (. Reduce. R. R (. MapReduce. 15. worker. (.
(26) 4.2. Apache Hadoop. Apache Hadoop Google. Apache Lucene. MapReduce. Doug Cutting. Java Apache Hadoop. Hadoop Common. Hadoop Distributed File System (HDFS™) Hadoop YARN Hadoop MapReduce Hadoop MapReduce. HDFS. (Apache. Hadoop,2015) ( 1 ).. Hadoop MapReduce. Hadoop MapReduce JobTracker. JAVA. Map Reduce. JobTracker. TaskTracker. ( TaskTracker. (. ) key-value. (. Hadoop MapReduce l. (. l. (. TaskTracker (. TaskTracker. ). l. Hadoop MapReduce. 16.
(27) ( 2 ).. Apache Hadoop HDFS. HDFS (Hadoop Distributed File System) Master. NameNode. Name Node. (master/slave) slave (. ( (open/close/create... DataNode. ). Data Node Data Node. ( HDFS l. HDFS. (. (. : (. (. l. l. (. DataNode. (. (. (. (. ,. (. (. (. (. ( DataNode. HDFS. (. : http://ccweb.km.nccu.edu.tw) 17. (. ).
(28) 5. (In-Memory Computing). 4.1 (. ( I/O. CPU. 「. (. 、. (. ;. (. (. (Random Access Memory RAM). (. I/O. ( ( ( 「 (. (. 「. (Data Warehouse)(. (. (. - (Data Mart)(. (. (Data Mining). ( OLAP (Online Analytical Processing) Web Portal. (. ( (in-memory enabled). (. (. 「 (. (. I/O. (. ( Spark. ( Pregel. GraphLab. Mammoth. Phoenix. GridGain. Storm Yahoo! S4 Spark Streaming 18. (. Piccolo 「. MapReduce Online. ).
(29) ( ((. 4.2. : In-memory Computing Technology The Holy Grail Of - Deloitte). Apache Spark. 2012. (Zaharia et al.,2012). Spark (. (Resilient Distributed Datasets ,RDDs) l. :. (. (. (iterative algorithms). (interactive data mining). (. (. l. lineage. RDD :. (transformations). (actions). (. lineage ( RDDs. MapReduce (reuse). (. (sharing) ( 19. (. ,.
(30) distributed file system). I/O. ( spark. spark. 1TB (. 5-7. Spark. RDD. Java. Python, Scala,. API HFDS. RDD RDD. ( (worker). lineage HDFS. 「. spark. Spark :. (Zaharia et al.,2012). RDD. (transformations). RDD. (. RDD. RDD. ( RDD). l. 「 RDD. (. l. 20. (actions). map. filter. flatMap. RDD :. count collect. (. RDD : ( RDD. (Dependency). : Narrow Dependency. 20. (. :. (lazy). reduce). (action). :. (.
(31) Wide Dependency. RDD. RDD. RDD. RDD. RDD. (Zaharia et al.,2012). RDD. :. RDD : RDD. RDD RDD. RDD RDD. 「 RDD. :. (lineage) RDD narrow. 「. lineage graph. ,. RDD. RDD. (. spark. (Zaharia et al.,2012) 21. DAG. ).
(32) (Chiang, Johannes, and. ( Chia-Chi Wu,2005) 「. Spark. (. 1 ( (concept hierarchy, CH). (multi-dimension database, MD) MD. MD. (multi-dimension patterns) (multi-dimension rules). 1.1. (Multi-dimension Database, MD). ( (. 2. (. ( (. (. MD 2. (. ). ○. (. ). T_ID 1. 2012/3. 20. 2. 2012/3. 44. 3. 2012/4. 18. 4. 2012/5. 33. 5. 2012/6. 60 2. (. 22. MD. (. ).
(33) 1.2. (Concept Hierarchy, CH). dimx. MD. (. x ”. CHx. ”. dimx. dim1. CH1 CHx. (root) MD. CHx. CH1. CHx l l. (root). CHx. (leaves nodes) da(x,s). CHx. (dimension atom, da). CHx. s. 2005 ”. ”. 12. {2005 Jun, 2005,Feb,…,2005 Dec} = { dc(x,1), dc(x,2) ,…, dc(x,12) }. l. (non-leaf nodes) dc(x,t). (dimension compound, dc) CHx 23. t.
(34) dc(x,1) = {2005 Spring} 2005May}. CHx. 1.3 MD. {2005 March, 2005Apr,. (Multi-Dimension Patterns) n. {CH1, CH2, CH3, …, CHn}. n. CH. (multi-dimension pattern, p) <p1, p2, p3,…,pn>. pk. dimk. CHk (element patterns, Ei). (generalized patterns, Gj). p. 1.2. p. da dc. da={branch1, brach2, web}. dc={Taipei, Any} da={Male, Female}. 24.
(35) dc={Any} Female>. p Ei. Gj. da. <branch1, Any>. dc={Any}. p Ei. <web,. MD. (. MD. p=. (element segmentations, T[Ei]) p=Gj. (Combination. segmentations, T[Gj]). T[Gj] T[Gj] (Any, Female). Female),(B02, Female),(web, Female)}. 25. {T[Ei] = (B01,.
(36) 1.4. (Multi-dimension association rules) (P,r). 1.3. P. r (6). (Full match) (minsup). MD. ( (minconf). T[Gj]. T[Gj]. T[Ei]. T[Gj] = {2004 Spring}. 2004Mar, 2004 May}. 3. T[Ei]={2004 Apr,. T[Gj]. (A→B). T[Ei]. (A→B) (7). (Relaxed match) (minsup). ( (minconf). MD (match ratio, m). 0<A≤1. T[Gj] T[Ei] (. m /. ). 26.
(37) 2. 「 「 MD. ( (minsup),. (minconf),. (match ratio, m) n. 「 MD. (. (. CHn. : (mapping table). ,. ). T[Ei]. R Ei. T[Gj]. R Gj. (P,r) T[Ei] R Ei. T[Gj]. 1.4. R Gj T[Gj]. T[Ei]. T[Gj] <2004 spring, Branch01, Student, Any> and <2004 spring,. Branch01,Any,Male>. <2004 spring, Branch01, Student, Male>. 27.
(38) 1) Input: 2) Multi-dimension transaction database: MD; 3) concept hierarchies for each dimension: CHx (x = 1 to n); 4) user define threshold: minsup, minconf, match ratio m; 5) Procedure: 6) Phase0: 7) generate all Ei and Gj by CHx (x = 1 to n); 8) build the pattern table; 9) Phase1: 10) for all Ei 11) discover all association rules r in T[Ei] as REi; 12) Phase2: 13) for all Ei 14) for all Gj that Ei ⊂ Gj 15) update RGj using REi; 16) Phase3: 17) for all Gj 18) for all r (which satisfy m) in RGj 19) output (Gj, r); 20) Output: 21) All multi-dimension association rules (p, r);. 28.
(39) 2.1. 0 (. ): p. CHn. CHn. n. (. MD (mapping table). , MD. :. Any. Spring (Any). Mar. MD. Apr. May. (. CH. Male. Female. MD :. CH. 12. Ei = {<Mar, Male>, <Mar, Female>, <Apr, Male>, <Apr, Female >,<May, Male>,< May , Female > }. Gj = {<Mar, Any>, <. Apr, Any >, < May, Any >, <Spring, Male >,< Spring, Female >,<Spring(Any)>}. 29.
(40) 12. , : Ei. Gj Ei. ”0”. Gj. Gj (Mar) (Apr). ”1”. (. (May) (Spring, Male). ). Ei. (Spring, Female) (Spring). (Mar, Male). 1. 0. 0. 1. 0. 1. (Mar, Female). 1. 0. 0. 0. 1. 1. (Apr, Male). 0. 1. 0. 1. 0. 1. (Apr, Female). 0. 1. 0. 0. 1. 1. (May, Male). 0. 0. 1. 1. 0. 1. (May, Female). 0. 0. 1. 0. 1. 1. (mapping table). 2.2. 1 p. T[Ei]. T[Gj]. T[Ei]. R. T[Gj]. Ei. R. (. Gj. Ei = {<Mar, Male>, <Mar, Female>, <Apr, Male>, <Apr, Female >,<May, Male>,< May , Female > } R. T[Ei] R. Ei. Gj. R Ei Apriori Apriori. (Agrawl et al., 1993) Spark. (. Aprioir. 3. 30.
(41) 2.3. 2. ”bottom to top” R. R Ei.. R Gj. 1. T[Ei]. 0. Ei. T[Ei]. T[Gj]. (1). R Gj. (Full match). R Gj R Ei R Gj. T[Gj]= (Spring, Male) T[Ei] = {(March, Male) (Apr, Male) (May, Male)} R Ei 7 Male). T[Ei] = (March, Male). R Ei. T[Ei] = (Apr,. R Ei. {C→A} {B→C} {AB→C}. T[Ei] = (Apr, Male). 4 T[Ei] = (May, Male). 3 (Spring, Male). {A→B} {A→C} {BC→A} R Gj. 31. T[Gj]=.
(42) (2). (Full match). R Gj R Ei. -. (match ratio, m) R Gj 1) for all REi 2) for all Gj ⊃ Ei 3) for all r in REi 4) if (r ∉ RGj) 5) add r to RGj; 6) RGj.r.count = 1; 7) else 8) RGj.r.count++;. T[Gj]= (Spring, Male) T[Ei] = {(March, Male) (Apr, Male) (May, Male)} T[Ei] = {(March, Male)} ). ( m 32. =. T[Ei] = {(March, Male)}. /.
(43) m=0.6667(. {AC→B}. 1/1 = 1). T[Gj]= (Apr, Male). m. T[Gj]= (May, Male) 1. 1/3=0.333 1. 0.667. 5. {AC→B} {BC→A}. 2.4. {A→B} {A→C} {AB→C}. T[Gj]= (Spring, Male). 3 (Ei,r). Gj. R Gj. r. (Gj,r). T[Ei]. Gj. T[Ei]. R. Spring. Ei.. Apr 33. R. Gj. May. r.
(44) 3 Apriori. (. Apriori. Spark. ( Apriori. (Qiu, et al, 2014). Apriori 」. ( 3. 3. ( <. ( <key,. (. key. 1>. value key. >. spark RDD. (. ( 1. 「 (k+1). 34. 「.
(45) 3.1 (1) 「. Apriori. 1. 「. 1(. (. :. ). flatMap(). spark RDD. map(). key. 2 「. k+1. < item,1> < item,count >. 1 ((. Qiu, et al, 2014). (k+1) 2(. ) Ck+1. k. Lk<item,count>. Ck+1. hash tree. RDD ( :. value. key. 「. (2) 「. (. flatMap(). :. reduceByKey(). HDFS. key, value. flatMap(). hash tree < item,1>. key. 35. map() reduceByKey().
(46) 「. 2 ((. Qiu, et al, 2014). 3.2 3.1. Apriori HaspMap. CountByValue. 36. ID. <GID,Itemsets>.
(47) (Chiang, Johannes, and Chia-Chi Wu,2005). Hadoop. Spark. 1 OpenStack. 20. 32GB. 1. 5. (. 3. Ubuntu12.04 Apache Spark 14.01 *1. CPU: 4 cores / Memory: 8GB. *5. CPU: 4 cores / Memory: 8GB. Apache Hadoop 2.7.0. 3 (. (. (datasets). ( (. (Frequent Itemset Mining Dataset Repository) (. 4) (. I. MushRoom.txt. 119. 8,124. II. Accidents.txt. 468. 340,183. III. Pumsb_star.txt. 2,113. 49,046. IBM Almaden Quest. (. ( UCI Machine Learning Repository (. IIV. Retail.txt. 16,469. 88,162. (. 4 37.
(48) 2. 4. 6. 1. TypeI -hadoop -spark. 0.25 6.08 39.83 9.66. 0.35 2.07 39.69 8.19. 0.65 0.77 39.24 7.40. 0.85 0.61 38.97 7.27 (minsup/minsec). -hadoop -spark. 0.25 4800.06 72.37 65.79. 0.35 3600.06 70.92 64.47. 0.65 163.77 64.90 31.5. 0.85 53.89 62.93 25.17 (minsup/minsec). -hadoop -spark. 0.25 20.60 217.89 54.47. 0.35 17.40 157.66 39.41. 0.65 12.42 45.65 12.042. 0.85 6.35 44.91 10.94 (minsup/minsec). TypeII. TypeIII. TypeIIV -hadoop -spark. 0.25 0.35 0.65 0.85 OutOfMemoey OutOfMemoey OutOfMemoey OutOfMemoey 42.58 42.65 43.63 42.34 24.69 24.61 22.70 22.37 (minsup/minsec) 5 38.
(49) 2.1 I. II. 1. (. TypeI (. (Map (. Reduce (. ). 10. (. Spark. TypeII. Hadoop. TypeI. Hadoop. Spark 0.65. Spark. 50 45 39.83. 40. 39.69. 39.24. 38.97. 35 30 25 20 15 10. 9.66. 8.19. 6.08. 5. 7.40. 2.07. 0.77. 7.27 0.61. 0 0.25. 0.35. 0.65 -hadoop. TYPEI. 39. 0.85 -spark. Hadoop 0.85.
(50) 100.00. 80.00. 60.00 -hadoop 40.00. -spark. 20.00. 0.00 0.25. 0.35. 0.65. 0.85. TYPEII. -. 2.2 I. II 1 1. 、. ( 1 Spark. Spark. Hadoop. Hadoop. (. TypeIII. Hadoop. Spark 0.35. Hadoop 0.25. -. 100. Hadoop. 4. Saprk 200. Hadoop Spark. Hadoop 40. I/O. 39 Spark.
(51) 100.00 90.00 80.00 70.00 60.00 50.00. -hadoop. 40.00. -spark. 30.00 20.00 10.00 0.00 0.25. 0.35. 0.65. TYPEIII. 0.85 -. -spark. -hadoop. 43.63. 42.65. 42.58. 24.69. 24.61. 0 0.25. 42.34. 22.70. 0. 22.37. 0. 0.35. 0.65. TYPEIIV. 41. 0 0.85.
(52) 3. →. (. 3.1 →. 2005. (. R201_2009~R207_2009 582,070. ○ (R201_CD2009). 。 167.09(MB). (. CD. 6. (CURE_ITEM_NO1, CURE_ITEM_NO2,CURE_ITEM_NO3, CURE_ITEM_NO4, FUNC_DATE, ID_BIRTHDAY, ID_SEX). ( (MD). (. 6. CURE_ITEM T_ID. FUNC_DATE. ID_BIRTHDAY. 1. 2005/3. 58. 2. 2005/3. 23. 3. 2005/4. 45. 15. 47. 52. 4. 2005/5. 64. A1. A5. A6. 5. 2005/6. 40 6. MD. ID_SEX. CURE_ITEM D8 10. 4. 9. 23. G9 (. 42. 44. 9. MD. CH1=. :. 12. CH2=. CH3=.
(53) 3.2. 「 1. =1(. = 0.1. ) CH1=. 「. CH2=. CH3=. ,. (mapping table) 32. (element patterns, Ei). 43. (generalized patterns, Gj). Ei. Ei. E1. 15-24. E17. 45-64. E2. 15-24. E18. 45-64. E3. 15-24. E19. 45-64. E4. 15-24. E20. 45-64. E5. 15-24. E21. 45-64. E6. 15-24. E22. 45-64. E7. 15-24. E23. 45-64. E8. 15-24. E24. 45-64. E9. 25-44. E25. 65. E10. 25-44. E26. 65. E11. 25-44. E27. 65. E12. 25-44. E28. 65. E13. 25-44. E29. 65. E14. 25-44. E30. 65. E15. 25-44. E31. 65. E16. 25-44. E32. 65. 7. (element patterns, Ei). E1. 1. 2. 6. 8. 13. 21. 41. E17. 1. 2. 6. 10. 13. 29. E2. 1. 3. 6. 8. 14. 22. 41. E18. 1. 3. 6. 10. 14. 30. E3. 1. 4. 6. 8. 15. 23. 41. E19. 1. 4. 6. 10. 15. 31. E4. 1. 5. 6. 8. 16. 24. 41. E20. 1. 5. 6. 10. 16. 32. E5. 1. 2. 7. 8. 17. 21. 42. E21. 1. 2. 7. 10. 17. 29. E6. 1. 3. 7. 8. 18. 22. 42. E22. 1. 3. 7. 10. 18. 30. E7. 1. 4. 7. 8. 19. 23. 42. E23. 1. 4. 7. 10. 19. 31. E8. 1. 5. 7. 8. 20. 24. 42. E24. 1. 5. 7. 10. 20. 32. 43.
(54) E9. 1. 2. 6. 9. 13. 25. 43. E25. 1. 2. 6. 11. 13. E10. 1. 3. 6. 9. 14. 26. 43. E26. 1. 3. 6. 11. 14. E11. 1. 4. 6. 9. 15. 27. 43. E27. 1. 4. 6. 11. 15. E12. 1. 5. 6. 9. 16. 28. 43. E28. 1. 5. 6. 11. 16. E13. 1. 2. 7. 9. 17. 25. 43. E29. 1. 2. 7. 11. 17. E14. 1. 3. 7. 9. 18. 26. 43. E30. 1. 3. 7. 11. 18. E15. 1. 4. 7. 9. 19. 27. 43. E31. 1. 4. 7. 11. 19. E16. 1. 5. 7. 9. 20. 28. 43. E32. 1. 5. 7. 11. 20. 8. (mapping table). ( 32. 7). 32. 3.3 Spark. 11.448 9. (element patterns, Ei). (. ). 。. E0. [[P8], [C4], [47], [82], [P3]]. E1. []. E10. [[2], [19], [P8]]. E11. [[47], [P3], [P8]]. E12. [[P4], [P4, P8], [47], [P3], [P3, P8], [C4], [P8]]. E13. [[P4], [P4, P8], [47], [P3], [P3, P8], [C4], [P8]]. E14. [[P3], [P3, P8], [P4], [P4, P8], [C4], [P8]]. E15. [[C3], [P3], [C4], [P4], [P4, P8], [P8]]. E16. [[1], [1, 19], [1, 2], [7], [11], [19], [19, 2], [47], [2]]. E17. [[1], [1, 19], [1, 2], [7], [11], [19], [19, 2], [47], [2]]. E18. [[1], [1, 19], [1, 2], [7], [47], [19], [19, 2], [11], [2]]. E19. [[1], [9], [19], [47], [2]]. E20. [[1], [9], [19], [47], [2]]. E21. [[1], [9], [19], [47], [2]]. E22. [[1], [9], [19], [47], [2]] 44.
(55) E23. [[1], [9], [19], [47], [2]]. E24. [[11], [14], [9], [1], [1, 2], [19], [2]]. E25. [[11], [14], [9], [1], [1, 2], [19], [2]]. E26. [[11], [14], [9], [1], [1, 2], [19], [2]]. E27. [[11], [14], [9], [1], [1, 2], [19], [2]]. E28. [[11], [11, 2], [47], [9], [1], [1, 2], [19], [19, 2], [14], [2]]. E29. [[11], [11, 2], [47], [9], [1], [1, 2], [19], [19, 2], [2]]. E3. [[13], [13, 47], [60], [82], [P8], [P8, 40], [4], [P3], [P3, 40], [47], [C4], [C4, 60], [40]]. E30. [[19], [19, 2], [47], [9], [1], [1, 2], [11], [2]]. E31. [[19], [19, 2], [47], [9], [1], [1, 2], [11], [2]]. E4. [[82], [A6], [47], [P8], [C4], [P3]]. E5. [[82], [A6], [P8], [P8, P3], [P4], [P4, P8], [P3]]. E6. [[P4], [P4, P8], [P3], [P3, P8], [C4], [P8]]. E7. [[A6], [P8], [P8, P3], [82], [P3]]. E8. [[P4], [2], [A6], [P8]]. E9. [[A6], [47], [P4], [P8]] 9. 10. G1~G10 1(. 0.5. ). G8~G10. G1~G10. (m=1) G8:[[P8]] G9:[[47], [2], [1], [19]] G10:[[9], [1, 2], [11], [2], [1], [19]] (m=0.5) G1:[[47], [2], [1], [P8], [19]] G2:[[47], [2], [1], [19]] G3:[[2], [1], [19]] G4:[[9], [P3], [47], [2], [1], [P8], [19]] G5:[[47], [2], [1], [19]] G6:[[9], [P3], [47], [2], [1], [P8], [19]] G7:[[P3], [P8], [C4], [82]] 45.
(56) G8:[[P3], [47], [P8], [C4], [P4, P8], [P4]] G9:[[9], [47], [2], [1], [19]] G10:[[9], [1, 2], [14], [11], [47], [19, 2], [2], [1], [19]] 10. 0.5. 3 ]. [1. 1. ( [1. , 2. , 19. ]). ]. [2. , 19. 45~65. 70%. 1 Spark ○ ( 、. Map. 「. (. Reduce. (. ( 100. 1. Spark 4. Hadoop Spark. Hadoop Spark. ( Spark. 2 (. 46. Spark.
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(58) [8] Das, Amitabha, Wee-Keong Ng, and Yew-Kwong Woon. "Rapid association rule mining." Proceedings of the tenth international conference on Information and knowledge management. ACM, 2001. [9] Dean, Jeffrey, and Sanjay Ghemawat. "MapReduce: simplified data processing on large clusters." Communications of the ACM 51.1 (2008): 107-113. [10] Do, Tien Dung, Siu Cheung Hui, and Alvis Fong. "Mining frequent itemsets with. category-based. constraints.". Discovery. Science.. Springer. Berlin. Heidelberg, 2003. [11] Ghemawat, Sanjay, Howard Gobioff, and Shun-Tak Leung. "The Google file system." ACM SIGOPS operating systems review. Vol. 37. No. 5. ACM, 2003. [12] Han, Jiawei, Jian Pei, and Yiwen Yin. "Mining frequent patterns without candidate generation." ACM SIGMOD Record. Vol. 29. No. 2. ACM, 2000. [13] Khare, Neelu, Neeru Adlakha, and K. R. Pardasani. "An Algorithm for Mining Multidimensional Association Rules using Boolean Matrix." Recent Trends in Information, Telecommunication and Computing (ITC), 2010 International Conference on. IEEE, 2010. [14] Lent, Brian, Arun Swami, and Jennifer Widom. "Clustering association rules." Data Engineering, 1997. Proceedings. 13th International Conference on. IEEE, 1997. [15] Li, Lingjuan, and Min Zhang. "The strategy of mining association rule based on cloud computing." Business Computing and Global Informatization (BCGIN), 2011 International Conference on. IEEE, 2011. [16] Li, Ning, et al. "Parallel implementation of apriori algorithm based on MapReduce." Software Engineering, Artificial Intelligence, Networking and. 48.
(59) Parallel & Distributed Computing (SNPD), 2012 13th ACIS International Conference on. IEEE, 2012. [17] Lin, Ming-Yen, Pei-Yu Lee, and Sue-Chen Hsueh. "Apriori-based frequent itemset mining algorithms on MapReduce." Proceedings of the 6th international conference on ubiquitous information management and communication. ACM, 2012. [18] Qiu, Hongjian, et al. "YAFIM: A Parallel Frequent Itemset Mining Algorithm with Spark." Parallel & Distributed Processing Symposium Workshops (IPDPSW), 2014 IEEE International. IEEE, 2014. [19] Schuster, Assaf, and Ran Wolff. "Communication-efficient distributed mining of association rules." Data Mining and Knowledge Discovery 8.2 (2004): 171-196. [20] Srikant, Ramakrishnan, and Rakesh Agrawal. "Mining quantitative association rules in large relational tables." ACM SIGMOD Record. Vol. 25. No. 2. ACM, 1996. [21] Wojciechowski, Marek, and Maciej Zakrzewicz. "Dataset filtering techniques in constraint-based frequent pattern mining." Pattern detection and discovery. Springer Berlin Heidelberg, 2002. 77-91. [22] Yang, Xin Yue, Zhen Liu, and Yan Fu. "MapReduce as a programming model for association rules algorithm on Hadoop." Information Sciences and Interaction Sciences (ICIS), 2010 3rd International Conference on. IEEE, 2010. [23] Zaharia, Matei, et al. "Resilient distributed datasets: A fault-tolerant abstraction for in-memory cluster computing." Proceedings of the 9th USENIX conference on Networked Systems Design and Implementation. USENIX Association, 2012. [24] “Frequent Itemset Mining Dataset Repository”, http://fimi.ua.ac.be/data/ 49.
(60) 50.
(61) ݯۓᕍҞжဦ ǵᄌੰ܄Ȑ๏ᛰΎВаޣȑ. 30. Ϻየ. 31. ҜԼݹ. жဦ. Ӝᆀ. 32. ӄ܄يᔸ੶. 01. ᑗֿੰ. 33. ߙӀ. 02. ଯՈᓸ. 34. ଳੱ. 03. ᄌݹط܄. 35. ຎᆛጢᡂ܄. 04. ᄌ܄᠌ݹ. 36. ඬᡂ܄. 05. Ҙރဏᐒૈምᛖ. 37. ဟጢݹ. 06. ফഹ. 38. ࣒ዟᡏрՈ. 07. ภ॥. 39. فጢᡂ܄. 08. ϯ܄ውᅬ. 40. ᄌ܄೦Ո. 09. ᜢݹ. 41. ๋ඬੱ. 10. ᄌ܄Ѝᆅݹ. 42. ηϣጢ౦Տੱ. 11. Ј᠌ੰ. 43. ݜ٢નၸଯੱ. 12. ᕎੱᛰނଓᙫݯᕍ. 44. ϣԸੰᡂ. 13. ᠌Ꮤ౽ࡕᛰނଓᙫݯᕍ. 45. ᄌ܄ሷᝠݹ. 14. တՈᆅੰᡂ. 46. ᄌ܄ύԸݹ. 15. ᡜ⻯. 47. ᆒઓੰ. 16. ЃߎහМੱ. 48. ࠶ᅟᇽМੱ. 17. ่ਡੰ. 49. Լሼޔᕭੱ. 18. ᄌ܄ᖌၰݹ. 50. ӭว܄Լݹ. 19. ଯՈિੱ. 51. ख़ੱԼคΚ. 20. ޤဍ. 52. ӃϺ܄жᖴ౦த੯ੰ. 21. ᄌߔ܄༞ݹޤ܄. 53. ӃϺǵࡕϺխࣝόӄੱ. 22. Ѝᆅᘉੱ. 54. 23. ဉᐒૈ܄ምᛖȐ֖ᄌ܄ી᠌ ݹǵӚᅿगဉ৲Ժੱǵ࡚ចε ဉੱংဂǵगဉᕧឳੱݹ܄ǵ ᄌ܄εဉੱݹȑ. ځдύኰઓسᡂ፦Ϸᒪ ܄੯ੰ. 55. ӭว܄ฯϯੱ. 56. ᓻٽတ܄ഞ࿄Ϸځдഞ࿄܄ ংဂ. 24. आඬ܄ਫ਼የ. 57. ેๆኬฯϯ. 25. طฯϯ. 58. ેਵ༞ϷՈਵੱ. 26. ႜᒍМੱ. 59. ޤ؈ੱ. 27. ମ፦౧ੱ. 60. ѦӢ܌ठϐޤ੯ੰ. 28. ଳ᠆. 61. ᠌གࢉ. 29. Ҙ᠆. 62. ӃϺ܄྾੯ੰ. B-56.
(62) 63. ុ܄ՈనᏉڰምᛖȐՈ϶ੰȑ. 95. ᄌ܄ମᡎ(ݹ87/4/1). 64. ࿂ᅭ. 96. ମᡎϩϯόੱؼংဂ(88/4/1). 65. ౨የ. চว܄Ոλ݈ቚғੱ(88/4/1). 66. ឪៈဏȐӈဏȑޥε. 97 ຏǺ. 67. ଶੱংဂ. 68. ֿѨ. 69. ੱݨȐӭෛᖄशύࢥȑ. 70. ጕੰᡂЇวϣϩݜምᛖ. 71. တΠࠟᡏੰᡂЇวϣϩݜምᛖ. 72. ܄Ԑዕ. 73. တዦٳวઓфૈምᛖ. 74. ӭวڬ܄ᜐઓੰᡂ. 75. ઓᘀੰᡂ. A1. ຬॣݢᔠ. 76. Οΰઓภ. A2. Ըሷോࣽᔠ. 77. ୃᓐภ. A3. ຎ᜔ᔠ. 78. οੰٳวЈ᠌Ոᆅ౦தޣ. A4. ੰಔᙃᔠ. 79. ਜ਼ဌੰ. A5. ਡηᙴᏢᔠ. 80. ୋҘރဏᐒૈեΠੱ. A6. ̔Ӏᔠ. 81. ૉᡎཞ. A7. ਸቹᔠ. 82. ၸ௵܄ሷݹ. A8. ઓࣽᔠ. 83. қඬ. 84. િᅅ܄Ҝጥݹ. 85. ᜪᐘણ؈ᑈੱȐज़ੰ؞ຬၸᡏ ߄य़ᑈԭϩϐΟΜаޣȑ. Οǵਸݯᕍ܈ೀǺ. 86. ᜪϺየ(86/1/1). D1. ᕎੱܫጕݯᕍ. 87. ੶܄Ҝጥ(ݹ86/1/1). D2. ᕎੱϯᏢݯᕍ. 88. ৎ܄ؼ܄ᄌ܄Ϻየ(86/1/1). D3. 89. ߄Ҝϩှ܄Нੱ(86/1/1). 90. ᝄख़܄ങᡒ᠆Ȑ֖ቫރങᡒ᠆. D4. ᆒઓࣽݯᕍ. Ϸങᡒ᠆ރआҜੱȑ(86/1/1). D5. ଯᓸ਼ݯᕍ. 91. Л៶فϯੱ(86/1/1). D6. ្ࣽݯᕍ. 92. Չ܄ӄيฯҜੱ(86/1/1). D7. Ո϶ੰݯᕍ. 93. ܄ဏեૈੱȐHypognadismȑ. D8. Ոనݯᕍ. D9. ဎጢ. 94. (86/7/1) ᄌ܄ឪៈဏݹȐሡឪៈဏࡪ. D0. ނݯᕍᙁൂǵύࡋݯᕍ. ύᙴᄌ(ੰ܄๏ᛰΎВа)ޣ ݯۓᕍҞжဦࣁॊጓዸ 01 Կ 12ǵ14ǵ19ǵ25ǵ27ǵ32ǵ 45ǵ65ǵ67ǵ69ǵ76ǵ77 23 . ΒǵਸᔠǺ. ൺ଼ݯᕍȐނݯᕍᙁൂǵύ ࡋݯᕍନѦȑ. Ȑ88/8ȑ. ነڗឪៈဏϩݜనჴޣȑ (86/7/1) B-57.
(63) Уᙴᙴᕍ୍ܺ):9/2 ቚु*. ѤǵУᙴǺ P1. ਥᆅݯᕍ. P2. ሌણк༤. P3. ፄӝᐋિȐ࣒ዟዟηȑк༤. P4. FG. ଣ୍ཱུܺ܌ख़ࡋߚᆒઓምᛖ ޣУᙴᙴᕍ୍ܺ!. FH. ଣ୍ܺ܌ख़ࡋߚᆒઓምᛖޣ Уᙴᙴᕍ୍ܺ!. УੰڬЋೌȐ֖Ꮑ៱Πڊନ ೌȑ. FI. ଣ୍ܺ܌ύࡋߚᆒઓምᛖޣ. P5. ูٽᘐᡎೀ. FJ. P6. ଯᓸ਼ݯᕍ. ଣ୍ܺ܌ᇸࡋߚᆒઓምᛖޣ Уᙴᙴᕍ୍ܺ!. P7. α๚ѦࣽߐບЋೌȐхࡴܘ. FK. ᙴᕍი୍ཱུܺख़ࡋߚᆒઓም ᛖޣУᙴᙴᕍ୍ܺ!. FL. ᙴᕍი୍ܺख़ࡋߚᆒઓምᛖ ޣУᙴᙴᕍ୍ܺ!. Уᙴᙴᕍ୍ܺ!. Уȑ P8. ݯᕍ܄У่ҡమନ. F2. УᙴԿคУᙴໂीฝ. F3. УᙴৣคУᙴໂْᙴᕍܺ ୍. FM. ᙴᕍი୍ܺύࡋߚᆒઓምᛖ ޣУᙴᙴᕍ୍ܺ!. F4. ӃϺ܄যᚓޣУᙴᙴᕍ. FN. ᙴᕍი୍ܺᇸࡋߚᆒઓምᛖ ޣУᙴᙴᕍ୍ܺ!. ୍ܺȐ91/1ȑ F5 F6. ख़ࡋаيЈምᛖޣУᙴᙴ. FS. ᕍ୍ܺȐ91/1ȑ Ȑ99/01/01 ڗȑ. ਸᙴᕍ୍ܺ၂ᒤीฝϐУ. ΟྃȐ֖ȑаΠᓻѴٽᏁٛ (୍ܺڋ91/1)Ȑ94/1 ڗȑ. ᙴډӻᙴᕍ୍ܺ!. F7. ଣ܌ύࡋيЈምᛖޣУᙴᙴ ᕍ୍ܺȐ99/01/01 ڗȑ. F8. ᙴᕍი໗ख़ࡋаيЈምᛖ ޣУᙴᙴᕍ୍ܺȐ99/01/01 ڗ ȑ. F9. ᙴᕍიύࡋيЈምᛖޣУᙴ. ଣݯ܌ᕍख़ࡋᆒઓምᛖޣУ ᙴᙴᕍ୍ܺ):9/2 ቚु*. FD. ଣݯ܌ᕍύࡋᆒઓምᛖޣУ ᙴᕍიݯᕍख़ࡋᆒઓምᛖޣ Уᙴᙴᕍ୍ܺ):9/2 ቚु*!. FF. FU. ӄ଼҇நߥᓀУᙴߐບᕴᚐ ਸᙴᕍ୍ܺ၂ᒤीฝϐ ۓሡ)୍ܺޣ213/12/12 ཥ жဦࣁ F2ǵF3ǵFAǵFT ޣǴਢ ҹϩᜪࣁ 14ǹжဦࣁF4ǵF5ǵF6ǵ F7ǵF8ǵF9ǵFCǵFDǵFEǵFF ޣǴӄ଼҇நߥᓀУᙴߐບᕴᚐ ਸᙴᕍ୍ܺ၂ᒤीฝϐଣܺ܌ ୍ϐଣ୍ܺ܌Ǻཱུख़ࡋ FGǵख़ࡋ FHǵύࡋ FIǵᇸࡋ FJǴᙴᕍი ୍ܺǺཱུख़ࡋ FKǵख़ࡋ FLǵύ ࡋ FMǵᇸࡋ FN(99.1 ቚु)FSǵ. ᙴᙴᕍ୍ܺ):9/2 ቚु* FE. УᙴৣԿУᙴᙴᕍၗྍόى Ӧ୍ْܺीฝ.ޗᙴᕍ ઠȐ212/12 ཥቚȑ!. !. ଭӦУྣੰڬៈᆛ၂ᒤ ीฝ(97/1) Ȑ100/01 ڗȑ. FC. FT. ቚ*!. ᙴᕍ୍ܺȐ99/01/01 ڗȑ FA. ӄ଼҇நߥᓀУᙴߐບᕴᚐ. FU(102.1)Ǵਢҹϩᜪࣁ 16ǶFP У ੰڬӝྣៈಃ໘ࢤǵFQ Уੰڬӝ. ᙴᕍიݯᕍύࡋᆒઓምᛖޣ B-58.
(64) ྣៈಃΒ໘ࢤǵFR УੰڬӝྣៈಃΟ. ДҔᛰໆਢҹȐ212/22 ཥ. ໘ࢤǴਢҹϩᜪࣁ15(ଛӝ 99.01.12 ଼ߥᙴӷಃ 0990071960 ဦϦཥ. ቚȑ Ƕ CE. ቚ)Ƕ. ύᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴςрੇࣁᇻࢩᅕಭբಭ ǴගٮϪ่ЎҹǴԛሦڗ 3 ঁД ܈4 ঁДҔᛰໆਢҹ Ȑ212/22 ཥቚȑ Ƕ. ϖǵύᙴਸݯᕍ܈ೀǺ. CF. ύᙴ.ᄌੰ܄ೱុೀБᆇሦ. C1. ύ॥ࡕᒪੱ. ᛰǴςрੇࣁ୯ሞૐጕಭಬբ. C2. ᄌ܄ሷݹ. C3. ଞء. ಭǴගٮϪ่ЎҹǴԛ ሦ ڗ3 ঁД ܈4 ঁДҔᛰໆਢ. C4. ࣽݯᕍ. ҹȐ212/22 ཥቚȑ Ƕ. C5. ಥՀൺ. C6. ύᙴᙴᕍၗྍόىӦْ. CG. ЎҹǴԛሦ ڗ3 ঁД ܈4 ঁ ДҔᛰໆਢҹȐ212/22 ཥ ቚȑ Ƕ. ᙴᕍीฝȐচӜǺคύᙴໂْ ᙴᕍ ȑ C7. ύᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴـش੯ੰੰΓǴගٮϪ่. ύᙴᙴᕍၗྍόىӦዛᓰ ໒ीฝȐচӜǺคύᙴໂዛ. J1. ύᙴ.ՉόߡޣǴᙴৣᇡۓ. ᓰ໒ȑ. ܈ૼڙΓගٮϪ่ЎҹǴᄌ. C8. တՈᆅ੯ੰϐՋᙴՐଣੰ ύᙴᇶշᙴᕍȐ98 ԃଆڗȑ. ੰ܄жሦᛰਢҹ):7/8 ቚुǹ 212/22 Ўӷঅु*. J8. ᒀየϐՋᙴՐଣੰύᙴᇶ շᙴᕍ. C9. λٽഹှයύᙴᓬ፦ߐ ບྣៈ၂ᒤीฝ. C0. λٽတ܄ഞ࿄ύᙴᓬ፦ߐບ. J2. ύᙴ.ςрੇࣁᇻࢩᅕಭբ ಭǴගٮϪ่ЎҹǴᄌੰ܄ жሦᛰਢҹ):7/8 ቚुǹ 212/22 Ўӷঅु*. J3. ύᙴ.ςрੇࣁ୯ሞૐጕಭಬ բಭǴගٮϪ่ЎҹǴᄌ. ྣៈ၂ᒤीฝ CA. တՈᆅࡕᒪੱ)::/2 ཥቚ*. CB. ႴᓰୃᇻӦύᙴৣߏය Ꭻ၂ᒤीฝ. CC. ੰ܄жሦᛰਢҹ):8/21 ቚ ुǴ212/22 Ўӷঅु* J4. Ǵᄌੰ܄жሦᛰਢҹ Ȑ212/22 ཥቚȑ Ƕ. ύᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴႣۓр୯ǴගٮϪ่Ў ҹǴԛሦ ڗ3 ঁД ܈4 ঁД. CD. ύᙴ.ߥᓀΓᇡۓϐਸ. ҔᛰໆਢҹȐ212/22 ཥቚȑ Ƕ. ဍዦޣЋೌǵϯᕍǵܫጕ ᕍࡕݤՋᙴՐଣύᙴᇶշᙴ. ύᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴ߇ӣᚆӦǴගٮϪ่. !. J7. ᕍ၂ᒤीฝ):9/12 ቚु*Ƕ. ЎҹǴԛሦ ڗ3 ঁД ܈4 ঁ. Ϥǵځд B-59.
(65) E1. ဉੰࢥ(87). E2. ᙴৣЍජԿӼᎦǵᎦៈǵූ ምǵᅽճᐒᄬϷៈϐৎ࣮ບ ਢҹȐ89/3/16ȑ. G7. Бਢ—ς໒Ȑ93/01ȑ. Ѝජߏයྣៈᐒᄬගٮߐ ບਢҹ(99.1 অु) E3 E4. ᙴᕍၗྍલЮӦ୍ܺዛᓰ. G8. ৎᙴৣӝྣ܄ៈ Ȑ92/3/10ȑ. G9. ξӦᚆӦᙴᕍ๏бਏ ගܹीฝȐ93/01ȑ. ่ਡੰ၂ᒤीฝ Ȑ93/01~97/01ȑ. H1. BǵC ࠠݹط၂ᒤीฝ(93/01). H2. ᑗֿੰ၂ᒤीฝǺаӅӕྣៈ. Ջᙴ.ՉόߡޣǴᙴৣᇡ܈ۓ ૼڙΓගٮϪ่ЎҹǴᄌ܄. ኳԄࣁ୷ᘵޑᑗֿੰΓ੯ੰ ᆅჴᡍीฝ (чϩֽ. ੰжሦᛰਢҹ):7/8 ቚुǹ 212/22 অुЎӷ*. 89/5/17 ၂ᒤ) Ȑ90/11 ӄय़၂ᒤȑ. H3. Ջᙴ.ςрੇࣁᇻࢩᅕಭբ ಭǴගٮϪ่ЎҹǴᄌੰ܄ жሦᛰਢҹ):7/8 ቚुǺ 212/22 অुЎӷ*. E5. ࠄϩֽǺຼౢයᘳ܄Ѝб ࡋڋ၂ᒤीฝ(90/9). E6. ഹ၂ᒤीฝȐ90/11ȑ. E7. ่ޤਡ၂ᒤीฝ Ȑ90/11~93/09ȑ. H4. Ծ଼ᔠวੰӂуբೀ ܈ᔠ(97/1). E8. ଯՈᓸ၂ᒤीฝȐ95/1ȑ. H5. жᖴੱংဂྣៈБਢȐ97.8 ቚ. E9. ਜ਼ဌੰ၂ᒤीฝȐ95/10 ڗȑ. EA. Ѝජߏයྣៈᐒᄬගٮൺ଼ ݯᕍਢҹ(99.1 ቚु). EB. ӄ଼҇நߥᓀ߃යᄌ܄᠌ ੰᙴᕍ๏бׯ๓ीฝ(100.01 ቚु). F1. ुȑ H6. Ջᙴ.ςрੇࣁ୯ሞૐጕಭಬ բಭǴගٮϪ่ЎҹǴᄌ ੰ܄жሦᛰਢҹ):8/21 ቚ ुǹ212/22 অुЎӷ*. H7. ӄ଼҇நߥᓀ B ࠠݹطচ ޣϷ C ࠠݹطགࢉޣᙴᕍ๏ бׯ๓Бਢ(99.1 ቚु). ࠄᑜߞကໂᄤϘངໂᆒઓ ੯ੰᙴᕍॅਏගϲीฝ H8. Ջᙴ.ᄌੰ܄ೱុೀБᆇሦ. F6. (90/8) ΟྃȐ֖ȑаΠᓻٽᏁٛڋ ୍ܺ(91/1)Ȑ94/1 ڗȑ. F7. Ңጄߐບ၂ᒤीฝ(91/1). ᛰǴႣۓр୯ǴගٮϪ่Ў ҹǴԛሦ ڗ3 ঁД ܈4 ঁД ҔᛰໆਢҹȐ212/22 Ўӷঅ. Ȑ93/10 ڗȑ. ुȑ Ƕ. G4. ፁғᅽճᆙ࡚ᙴᕍၗྍલЮӦ ׯ๓ीฝȐ95/04ȑ. G5. ᙴᕍၗྍલЮӦ୍ܺዛᓰ Бਢ—ْᙴᕍȐ93/01ȑ. G6. ᙴᕍၗྍલЮӦ୍ܺዛᓰ. H9. Ջᙴ.ߥᓀΓᇡۓϐਸ Ǵᄌੰ܄жሦᛰਢҹ Ȑ212/22 ཥቚȑ Ƕ. HA. Ջᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴ߇ӣᚆӦǴගٮϪ่ ЎҹǴԛሦ ڗ3 ঁД ܈4 ঁ ДҔᛰໆਢҹȐ212/22 ཥ. Бਢ—ཥ໒Ȑ93/01ȑ B-60.
(66) ቚȑǶ HB. Ջᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴςрੇࣁᇻࢩᅕಭբಭ ǴගٮϪ่ЎҹǴԛሦڗ 3 ঁД ܈4 ঁДҔᛰໆਢҹ Ȑ212/22 ཥቚȑ Ƕ. HC. Ջᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴςрੇࣁ୯ሞૐጕಭಬբ ಭǴගٮϪ่ЎҹǴԛ ሦ ڗ3 ঁД ܈4 ঁДҔᛰਢҹ Ȑ212/22 ཥቚȑ Ƕ. HD. Ջᙴ.ᄌੰ܄ೱុೀБᆇሦ ᛰǴـش੯ੰੰΓǴගٮϪ่ ЎҹǴԛሦ ڗ3 ঁД ܈4 ঁ ДҔᛰਢҹȐ212/22 ཥቚȑ Ƕ. JA. ԏჹຝᙴᕍ୍ܺीฝ.ᕖ҅ ᐒᜢϣߐບȐ213/2 ଆҔȑ. JB. ԏჹຝᙴᕍ୍ܺीฝ.יៈ ߐບ)213/2 ଆҔ*. K1. ӄ଼҇நߥᓀ Qsf.FTSE Ⴃٛ ܄ीฝϷੰΓፁ௲ीฝ )212/2 ቚु*Ƕ. N. ٢ᕎ၂ᒤीฝཥঁਢ(90/11). C. ٢ᕎ၂ᒤीฝൺวঁਢ(90/11). R. ٢ᕎ၂ᒤीฝֹԋঁਢ(90/11). ! жဦࣁ E3ǵE4ǵE5ǵE6ǵE7ǵE8ǵ E9ǵF1ǵNǵCǵR ǵH1ǵH5ǵH7 ޣǴ ਢҹϩᜪࣁE1ǹжဦࣁG5ǵG6ǵG7 ޣǴ ਢҹϩᜪࣁ D4ǹжဦࣁ G4ǵG8ǵ G9 ޣǴ٩܌ឦϐਢҹϩᜪҙൔǶ. B-61.
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