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시간제약이 있는 외판원 문제를 위한 메타휴리스틱 기법
An Iterative Insertion Algorithm and a Hybrid Meta Heuristic for the Traveling Salesman Problem with Time Windows 원문보기

대한산업공학회지 = Journal of the Korean Institute of Industrial Engineers, v.33 no.1, 2007년, pp.86 - 98  

김병인 (포항공과대학교 산업경영공학과, 제품생산기술연구소)

Abstract AI-Helper 아이콘AI-Helper

This paper presents a heuristic algorithm for the traveling salesman problem with time windows (TSPTW). Aniterative insertion algorithm as a constructive search heuristic and a hybrid meta heuristic combining simulatedannealing and tabu search with the randomized selection of 2-interchange and a sim...

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제안 방법

  • In this paper, an iterative insertion algorithm, and a hybrid meta heuristic combining simulated annealing and tabu search with 2-interchange and a simple move operator are proposed for the TSPTW. Computational tests performed on 97 benchmark problem sets consisting of 400 benchmark problem instances show that the proposed approach generates optimal or near-optimal solutions for all the problems in reasonable computing time.
  • The constructive search heuristic is based on an iterative insertion algorithm and the improvement search heuristic is a hybrid meta heuristic combining simulated annealing and tabu search with the randomized selection of a move operator. The proposed approach has generated new best known heuristic values for various problem sets and matched the previous best known solutions for other problem sets. We could set new upper bounds for 17 benchmark problem sets for the TSPTW research community.
  • (1995). The proposed approach produces optimal solutions for 25 problem sets out of 27 problem sets and obtains new best known heuristic values for the (150 customers, 60 time window) and (200 customers, 40 time window) problem sets. We observe that there is no significant difference in computation time among the instances with the same number of customers and different time windows, and the computation time grows linearly with respect to the number of customers.

이론/모형

  • below. The basic framework of the proposed approach follows a typical simulated annealing (SA) algorithm. Our approach varies from others in using tabu list within SA and using random selection of move operators at each iteration.
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참고문헌 (13)

  1. Calvo, R. W. (2000), A new heuristic for the traveling salesman problem with time windows, Transportation Science, 34(1), 113-124 

  2. Carlton, W. B. and Barnes, J. W. (1996), Solving the traveling salesman problem with time windows using tabu search, IIE Transactions, 28, 617-629 

  3. Dumas, Y., Desrosiers, J., Gelinas, E. and Solomon, M. M. (1995), An optimal algorithm for the traveling salesman problem with time windows, Operations Research, 43(2), 367-371 

  4. Gendreau, M., Hertz, A. and Laporte, G. (1992), New insertion and postoptimization procedures for the traveling salesman problem, Operations Research, 40(6), 1086-1094 

  5. Gendreau, M., Hertz, A. and Laporte, G. and Stan, M. (1998), A generalized insertion heuristic for the traveling salesman problem with time windows, Operations Research, 46(3), 330-335 

  6. Langevin, A., Desrochers, M., Desrosiers, J., Gelinas, S. and ?Soumis, F. (1993), A two-commodity flow formulation for the traveling salesman and the makespan problems with time windows, Networks, 23, 631-640 

  7. Nanry, W. P. and Barnes, J. W. (2000). Solving the pickup and delivery problem with time windows using reactive tabu search, Transportation Research Part B, 34, 107-121 

  8. Ohlmann, J. W. and Thomas, B. W. (2006), A compressed annealing approach to the traveling salesman problem with time windows, INFORMS Journal on Computing (to appear) 

  9. Or, I. (1976), Traveling Salesman-type Combinatorial Problems and Their Relation to the Logistics of Blood Banking.Ph.D. Dissertation, Dept. of Industrial Engineering and Management Sciences, Northwestern University 

  10. Potvin, J. Y. and Bengio, S. (1996), The vehicle routing problem with time windows. II. genetic search, INFORMS Journal on Computing, 8, 165-172 

  11. Savelsbergh, M. W. P. (1985), Local search in routing problems with time windows, Annals of Operations Research, 4, 285-305 

  12. Solomon, M. M. (1987), Algorithms for the vehicle routing and scheduling problem with time window constraints, Operations Research, 35(2), 254-265 

  13. Taillard, E. D., Badeau, P., Gendreau, M., Guertin, F. and Potvin, J. Y. (1997), A tabu search heuristic for the vehicle routing problem with soft time windows, Transportation Science, 31(1),170-186 

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