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Volumn 191, Issue 2, 2008, Pages 332-346

Diversified local search strategy under scatter search framework for the probabilistic traveling salesman problem

Author keywords

Diversified local search; Metaheuristics; Permutation test; Probabilistic traveling salesman problem; Scatter search

Indexed keywords

ALGORITHMS; HEURISTIC METHODS; METADATA; NUMERICAL METHODS; PROBABILITY; SEARCH ENGINES;

EID: 43849090006     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2007.08.023     Document Type: Article
Times cited : (26)

References (36)
  • 1
    • 0023981296 scopus 로고
    • Heuristics based on spacefilling curves for combinatorial problems in Euclidean space
    • Bartholdi J.J., and Platzman L.K. Heuristics based on spacefilling curves for combinatorial problems in Euclidean space. Management Science 34 (1988) 291-305
    • (1988) Management Science , vol.34 , pp. 291-305
    • Bartholdi, J.J.1    Platzman, L.K.2
  • 3
    • 43849100343 scopus 로고    scopus 로고
    • Bertsimas, D., 1988. Probabilistic combinatorial optimization problems. Ph.D. Dissertation, Massachusetts Institute of Technology, MA, USA.
    • Bertsimas, D., 1988. Probabilistic combinatorial optimization problems. Ph.D. Dissertation, Massachusetts Institute of Technology, MA, USA.
  • 6
    • 0029409089 scopus 로고
    • Computational approaches to stochastic vehicle routing problems
    • Bertsimas D., Chervi P., and Peterson M. Computational approaches to stochastic vehicle routing problems. Transportation Science 29 (1995) 342-352
    • (1995) Transportation Science , vol.29 , pp. 342-352
    • Bertsimas, D.1    Chervi, P.2    Peterson, M.3
  • 7
    • 43849111902 scopus 로고    scopus 로고
    • Bianchi, L., 2006. Ant colony optimization and local search for the probabilistic traveling salesman problem: A case study in stochastic combinatorial optimization. Ph.D. Dissertation, Université Libre de Bruxelles, Brussles, Belgium.
    • Bianchi, L., 2006. Ant colony optimization and local search for the probabilistic traveling salesman problem: A case study in stochastic combinatorial optimization. Ph.D. Dissertation, Université Libre de Bruxelles, Brussles, Belgium.
  • 8
    • 33748974202 scopus 로고    scopus 로고
    • Extension of the 2-p-opt and 1-shift algorithms to the heterogeneous probabilistic traveling salesman problem
    • Bianchi L., and Campbell A.M. Extension of the 2-p-opt and 1-shift algorithms to the heterogeneous probabilistic traveling salesman problem. European Journal of Operational Research 176 (2007) 131-144
    • (2007) European Journal of Operational Research , vol.176 , pp. 131-144
    • Bianchi, L.1    Campbell, A.M.2
  • 9
    • 84944328534 scopus 로고    scopus 로고
    • An ant colony optimization approach to the probabilistic traveling salesman problem.
    • Springer, Berlin
    • Bianchi L., Gambardella L.M., and Dorigo M. An ant colony optimization approach to the probabilistic traveling salesman problem. Lecture Notes in Computer Science vol. 2439 (2002), Springer, Berlin 883-892
    • (2002) Lecture Notes in Computer Science , vol.2439 , pp. 883-892
    • Bianchi, L.1    Gambardella, L.M.2    Dorigo, M.3
  • 10
    • 84974719224 scopus 로고    scopus 로고
    • Solving the homogeneous probabilistic traveling salesman problem by the ACO metaheuristic.
    • Springer, Berlin
    • Bianchi L., Gambardella L.M., and Dorigo M. Solving the homogeneous probabilistic traveling salesman problem by the ACO metaheuristic. Lecture Notes in Computer Science vol. 2463 (2002), Springer, Berlin 176-187
    • (2002) Lecture Notes in Computer Science , vol.2463 , pp. 176-187
    • Bianchi, L.1    Gambardella, L.M.2    Dorigo, M.3
  • 11
    • 8344231581 scopus 로고    scopus 로고
    • Local search for the probabilistic traveling salesman problem: Correction to the 2-p-opt and 1-shift algorithms
    • Bianchi L., Knowles J., and Bowler N. Local search for the probabilistic traveling salesman problem: Correction to the 2-p-opt and 1-shift algorithms. European Journal of Operational Research 162 (2005) 206-219
    • (2005) European Journal of Operational Research , vol.162 , pp. 206-219
    • Bianchi, L.1    Knowles, J.2    Bowler, N.3
  • 12
    • 0242663428 scopus 로고    scopus 로고
    • Characterization of the probabilistic traveling salesman problem
    • Bowler N.E., Fink T.M.A., and Ball R.C. Characterization of the probabilistic traveling salesman problem. Physical Review E 68 (2003) 036703
    • (2003) Physical Review E , vol.68 , pp. 036703
    • Bowler, N.E.1    Fink, T.M.A.2    Ball, R.C.3
  • 14
    • 30744455299 scopus 로고    scopus 로고
    • Aggregation for the probabilistic traveling salesman problem
    • Campbell A.M. Aggregation for the probabilistic traveling salesman problem. Computers & Operations Research 33 (2006) 2703-2724
    • (2006) Computers & Operations Research , vol.33 , pp. 2703-2724
    • Campbell, A.M.1
  • 15
    • 43849098952 scopus 로고    scopus 로고
    • Chiarandini, M., Basso, D., Stützle, T., 2005. Statistical methods for the comparison of stochastic optimizers. Presented at the Sixth Metaheuristics International Conference (MIC2005), August 22-26, 2005, Vienna, Austria.
    • Chiarandini, M., Basso, D., Stützle, T., 2005. Statistical methods for the comparison of stochastic optimizers. Presented at the Sixth Metaheuristics International Conference (MIC2005), August 22-26, 2005, Vienna, Austria.
  • 16
    • 0037120693 scopus 로고    scopus 로고
    • Diversification strategies in local search for a nonbifurcated network loading problem
    • Gendron B., Potvin J.-Y., and Soriano P. Diversification strategies in local search for a nonbifurcated network loading problem. European Journal of Operational Research 142 (2002) 231-241
    • (2002) European Journal of Operational Research , vol.142 , pp. 231-241
    • Gendron, B.1    Potvin, J.-Y.2    Soriano, P.3
  • 19
    • 0142061566 scopus 로고    scopus 로고
    • On the nearest neighbor rule for the traveling salesman problem
    • Hurkens C.A.J., and Woeginger G.J. On the nearest neighbor rule for the traveling salesman problem. Operations Research Letters 32 (2004) 1-4
    • (2004) Operations Research Letters , vol.32 , pp. 1-4
    • Hurkens, C.A.J.1    Woeginger, G.J.2
  • 20
    • 35048826713 scopus 로고    scopus 로고
    • Mating Scheme for Controlling the Diversity-convergence Balance for Multiobjective Optimization
    • Springer, Berlin
    • Ishibuchi H., and Shibata Y. Mating Scheme for Controlling the Diversity-convergence Balance for Multiobjective Optimization. Lecture Notes in Computer Science vol. 3102 (2004), Springer, Berlin 1259-1271
    • (2004) Lecture Notes in Computer Science , vol.3102 , pp. 1259-1271
    • Ishibuchi, H.1    Shibata, Y.2
  • 21
    • 43849102737 scopus 로고    scopus 로고
    • Jaillet, P., 1985. Probabilistic traveling salesman problems. Ph.D. Dissertation, Massachusetts Institute of Technology, MA, USA.
    • Jaillet, P., 1985. Probabilistic traveling salesman problems. Ph.D. Dissertation, Massachusetts Institute of Technology, MA, USA.
  • 22
    • 30244506245 scopus 로고
    • Stochastic routing problems
    • Andreatta G., Mason F., and Serafini P. (Eds), World Scientific Publisher, Singapore
    • Jaillet P. Stochastic routing problems. In: Andreatta G., Mason F., and Serafini P. (Eds). Advanced School on Stochastics in Combinatorial Optimization (1987), World Scientific Publisher, Singapore 192-213
    • (1987) Advanced School on Stochastics in Combinatorial Optimization , pp. 192-213
    • Jaillet, P.1
  • 23
    • 0024107816 scopus 로고
    • A priori solution of a traveling salesman problem in which a random subset of the customers are visited
    • Jaillet P. A priori solution of a traveling salesman problem in which a random subset of the customers are visited. Operations Research 36 (1988) 929-936
    • (1988) Operations Research , vol.36 , pp. 929-936
    • Jaillet, P.1
  • 24
    • 0013154251 scopus 로고
    • The probabilistic vehicle routing problem
    • Golden B.L., and Assad A.A. (Eds), North-Holland, Amsterdam
    • Jaillet P., and Odoni A.R. The probabilistic vehicle routing problem. In: Golden B.L., and Assad A.A. (Eds). Vehicle Routing: Methods and Studies (1988), North-Holland, Amsterdam 293-318
    • (1988) Vehicle Routing: Methods and Studies , pp. 293-318
    • Jaillet, P.1    Odoni, A.R.2
  • 26
    • 0000967180 scopus 로고
    • A priori optimization of the probabilistic traveling salesman problem
    • Laporte G., Louveaux F., and Mercure H. A priori optimization of the probabilistic traveling salesman problem. Operations Research 42 (1994) 543-549
    • (1994) Operations Research , vol.42 , pp. 543-549
    • Laporte, G.1    Louveaux, F.2    Mercure, H.3
  • 27
    • 34548386221 scopus 로고    scopus 로고
    • Scatter search heuristic for least-cost design of water distribution networks
    • Lin M.-D., Liu Y.-H., Liu G.-F., and Chu C.-W. Scatter search heuristic for least-cost design of water distribution networks. Engineering Optimization. 39 (2007) 857-876
    • (2007) Engineering Optimization. , vol.39 , pp. 857-876
    • Lin, M.-D.1    Liu, Y.-H.2    Liu, G.-F.3    Chu, C.-W.4
  • 28
    • 34547277312 scopus 로고    scopus 로고
    • Liu, Y.-H., 2006. A scatter search based approach with approximation evaluation for the heterogeneous probabilistic traveling salesman problem. In: Proceedings of 2006 IEEE Congress on Evolutionary Computation (CEC 2006), Vancouver, British Columbia, Canada.
    • Liu, Y.-H., 2006. A scatter search based approach with approximation evaluation for the heterogeneous probabilistic traveling salesman problem. In: Proceedings of 2006 IEEE Congress on Evolutionary Computation (CEC 2006), Vancouver, British Columbia, Canada.
  • 29
    • 33847650472 scopus 로고    scopus 로고
    • A hybrid scatter search for the probabilistic traveling salesman problem
    • Liu Y.-H. A hybrid scatter search for the probabilistic traveling salesman problem. Computers & Operations Research 34 (2007) 2949-2963
    • (2007) Computers & Operations Research , vol.34 , pp. 2949-2963
    • Liu, Y.-H.1
  • 30
    • 43849095024 scopus 로고    scopus 로고
    • Liu, Y.-H., Jou, R.-C., Wang, C.-C., 2004. Genetic algorithms for the probabilistic traveling salesman problem. In: Proceedings of the Conference on E-Logistics, Taoyuan, Taiwan, pp. 77-82.
    • Liu, Y.-H., Jou, R.-C., Wang, C.-C., 2004. Genetic algorithms for the probabilistic traveling salesman problem. In: Proceedings of the Conference on E-Logistics, Taoyuan, Taiwan, pp. 77-82.
  • 31
    • 37249084630 scopus 로고    scopus 로고
    • An Evolutionary Algorithm with Diversified Crossover Operator for the Heterogeneous Probabilistic TSP
    • Springer, Berlin
    • Liu Y.-H., Jou R.-C., Wang C.-C., and Chiu C.-S. An Evolutionary Algorithm with Diversified Crossover Operator for the Heterogeneous Probabilistic TSP. Lecture Notes in Artificial Intelligence vol. 4617 (2007), Springer, Berlin 351-360
    • (2007) Lecture Notes in Artificial Intelligence , vol.4617 , pp. 351-360
    • Liu, Y.-H.1    Jou, R.-C.2    Wang, C.-C.3    Chiu, C.-S.4
  • 32
    • 21344432074 scopus 로고    scopus 로고
    • Genetic algorithms for the traveling salesman problem
    • Potvin J.Y. Genetic algorithms for the traveling salesman problem. Annals of Operations Research 63 (1996) 339-370
    • (1996) Annals of Operations Research , vol.63 , pp. 339-370
    • Potvin, J.Y.1
  • 34
    • 0242454495 scopus 로고
    • Aspects of heuristic method in the "probabilistic traveling salesman problem"
    • Andreatta G., Mason F., and Serafini P. (Eds), World Scientific Publisher, Singapore
    • Rossi F., and Gavioli I. Aspects of heuristic method in the "probabilistic traveling salesman problem". In: Andreatta G., Mason F., and Serafini P. (Eds). Advanced School on Stochastics in Combinatorial Optimization (1987), World Scientific Publisher, Singapore 214-227
    • (1987) Advanced School on Stochastics in Combinatorial Optimization , pp. 214-227
    • Rossi, F.1    Gavioli, I.2
  • 35
    • 14044278103 scopus 로고    scopus 로고
    • Approximate procedures for the probabilistic traveling salesperson problem
    • Tang H., and Miller-Hooks E. Approximate procedures for the probabilistic traveling salesperson problem. Transportation Research Record 1882 (2004) 27-36
    • (2004) Transportation Research Record , vol.1882 , pp. 27-36
    • Tang, H.1    Miller-Hooks, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.