메뉴 건너뛰기




Volumn 272, Issue , 2010, Pages 119-141

The multiobjective traveling salesman problem: A survey and a new approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 73849140099     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-11218-8_6     Document Type: Article
Times cited : (87)

References (61)
  • 1
    • 0018320577 scopus 로고
    • Bicriteria transportation problem
    • Aneja, Y.P., Nair, K.P.K.: Bicriteria transportation problem. Management Science 25, 73-78 (1979)
    • (1979) Management Science , vol.25 , pp. 73-78
    • Aneja, Y.P.1    Nair, K.P.K.2
  • 2
    • 0242692626 scopus 로고    scopus 로고
    • Approximating the Pareto curve with local search for the bicriteria TSP(1, 2) problem
    • Angel, E., Bampis, E., Gourves, L.: Approximating the Pareto curve with local search for the bicriteria TSP(1,2) problem. Theoretical Computer Science 310, 135-146 (2004)
    • (2004) Theoretical Computer Science , vol.310 , pp. 135-146
    • Angel, E.1    Bampis, E.2    Gourves, L.3
  • 3
    • 24344489350 scopus 로고    scopus 로고
    • A dynasearch neighborhood for the bicriteria traveling salesman problem
    • Gandibleux X., Sevaux M., Sörensen K., T'kindt V. (eds.) Metaheuristics for Multiobjective Optimisation Springer, Berlin
    • Angel, E., Bampis, E., Gourves, L.: A dynasearch neighborhood for the bicriteria traveling salesman problem. In: Gandibleux, X., Sevaux, M., Sörensen, K., T'kindt, V. (eds.) Metaheuristics for Multiobjective Optimisation. LNEMS, vol.535, pp. 153-176. Springer, Berlin (2004)
    • (2004) LNEMS , vol.535 , pp. 153-176
    • Angel, E.1    Bampis, E.2    Gourves, L.3
  • 4
    • 2442515836 scopus 로고    scopus 로고
    • Chained Lin-Kernighan for large traveling salesman problems
    • Applegate, D.: Chained Lin-Kernighan for large traveling salesman problems. INFORMS Journal on Computing 15, 82-92 (2003)
    • (2003) INFORMS Journal on Computing , vol.15 , pp. 82-92
    • Applegate, D.1
  • 5
    • 33748568117 scopus 로고    scopus 로고
    • Design of cooperative algorithms for multi-objective optimization: Application to the flow-shop scheduling problem
    • Basseur, M.: Design of cooperative algorithms for multi-objective optimization: application to the flow-shop scheduling problem. 4OR 4(3), 255-258 (2006)
    • (2006) 4OR , vol.4 , Issue.3 , pp. 255-258
    • Basseur, M.1
  • 6
    • 24344438515 scopus 로고    scopus 로고
    • A study of global convexity for a multiple objective travelling salesman problem
    • Ribeiro C.C., Hansen P. (eds.) Kluwer, Dordrecht
    • Borges, P.C., Hansen, M.P.: A study of global convexity for a multiple objective travelling salesman problem. In: Ribeiro, C.C., Hansen, P. (eds.) Essays and surveys in metaheuristics, pp. 129-150. Kluwer, Dordrecht (2000)
    • (2000) Essays and Surveys in Metaheuristics , pp. 129-150
    • Borges, P.C.1    Hansen, M.P.2
  • 7
    • 85018104842 scopus 로고    scopus 로고
    • Pareto simulated annealing-a metaheuristic technique for multiple-objective combinatorial optimization
    • Czyzak, P., Jaszkiewicz, A.: Pareto simulated annealing-a metaheuristic technique for multiple-objective combinatorial optimization. Journal of Multi-Criteria Decision Analysis 7, 34-47 (1998)
    • (1998) Journal of Multi-Criteria Decision Analysis , vol.7 , pp. 34-47
    • Czyzak, P.1    Jaszkiewicz, A.2
  • 8
    • 24344434513 scopus 로고    scopus 로고
    • Multiobjective combinatorial optimization-theory methodology and applications
    • Ehrgott M., Gandibleux X. (eds.) Kluwer Academic Publishers, Boston
    • Ehrgott, M., Gandibleux, X.: Multiobjective Combinatorial Optimization-Theory, Methodology, and Applications. In: Ehrgott, M., Gandibleux, X. (eds.) Multiple Criteria Optimization: State of the Art Annotated Bibliographic Surveys, pp. 369-444. Kluwer Academic Publishers, Boston (2002)
    • (2002) Multiple Criteria Optimization: State of the Art Annotated Bibliographic Surveys , pp. 369-444
    • Ehrgott, M.1    Gandibleux, X.2
  • 9
    • 33846575257 scopus 로고    scopus 로고
    • Bound sets for biobjective combinatorial optimization problems
    • Ehrgott, M., Gandibleux, X.: Bound sets for biobjective combinatorial optimization problems. Computers and Operations Research 34, 2674-2694 (2007)
    • (2007) Computers and Operations Research , vol.34 , pp. 2674-2694
    • Ehrgott, M.1    Gandibleux, X.2
  • 13
    • 84931338570 scopus 로고    scopus 로고
    • The supported solutions used as a genetic information in a population heuristics
    • Zitzler E., Deb K., Thiele L., Coello Coello C.A., Corne D.W. (eds.) EMO 2001 Springer, Heidelberg
    • Gandibleux, X., Morita, H., Katoh, N.: The supported solutions used as a genetic information in a population heuristics. In: Zitzler, E., Deb, K., Thiele, L., Coello Coello, C.A., Corne, D.W. (eds.) EMO 2001. LNCS, vol.1993, pp. 429-442. Springer, Heidelberg (2001)
    • (2001) LNCS , vol.1993 , pp. 429-442
    • Gandibleux, X.1    Morita, H.2    Katoh, N.3
  • 14
    • 33846274949 scopus 로고    scopus 로고
    • A taxonomy and an empirical analysis of multiple objective ant colony optimization algorithms for the bi-criteria TSP
    • Garcia-Martinez, C., Cordon, O., Herrera, F.: A taxonomy and an empirical analysis of multiple objective ant colony optimization algorithms for the bi-criteria TSP. European Journal of Operational Research 180(1), 116-148 (2007)
    • (2007) European Journal of Operational Research , vol.180 , Issue.1 , pp. 116-148
    • Garcia-Martinez, C.1    Cordon, O.2    Herrera, F.3
  • 15
    • 54049149435 scopus 로고    scopus 로고
    • An exact epsilon-constraint method for biobjective combinatorial optimization problems: Application to the traveling salesman problem with profits
    • Gendreau, M., Bérueb́, J.-F., Potvin, J.-Y.: An exact epsilon-constraint method for biobjective combinatorial optimization problems: Application to the traveling salesman problem with profits. European Journal of Operational Research 194(1), 39-50 (2009)
    • (2009) European Journal of Operational Research , vol.194 , Issue.1 , pp. 39-50
    • Gendreau, M.1    Bérueb́, J.-F.2    Potvin, J.-Y.3
  • 17
    • 0242458620 scopus 로고
    • Approximation methods for multiple criteria traveling salesman problems, towards interactive and intelligent decision support systems
    • Sawaragi Y. (ed.) Berlin, Springer, Heidelberg
    • Gupta, A., Warburton, A.: Approximation methods for multiple criteria traveling salesman problems, towards interactive and intelligent decision support systems. In: Sawaragi, Y. (ed.) Proc. 7th Internat. Conf. onMultiple Criteria DecisionMaking, Berlin, pp. 211-217. Springer, Heidelberg (1986)
    • (1986) Proc. 7th Internat. Conf. OnMultiple Criteria DecisionMaking , pp. 211-217
    • Gupta, A.1    Warburton, A.2
  • 19
    • 21844516955 scopus 로고
    • On spanning tree problems with multiple objectives
    • Hamacher, H.W., Ruhe, G.: On spanning tree problems with multiple objectives. Annals of Operations Research 52, 209-230 (1994)
    • (1994) Annals of Operations Research , vol.52 , pp. 209-230
    • Hamacher, H.W.1    Ruhe, G.2
  • 20
    • 0034244858 scopus 로고    scopus 로고
    • Use of substitute scalarizing functions to guide a local search based heuristic: The case of moTSP
    • Hansen, M.P.: Use of Substitute Scalarizing Functions to Guide a Local Search Based Heuristic: The Case of moTSP. Journal of Heuristics 6(3), 419-430 (2000)
    • (2000) Journal of Heuristics , vol.6 , Issue.3 , pp. 419-430
    • Hansen, M.P.1
  • 22
    • 0000072462 scopus 로고
    • Bicriterion path problems
    • Hansen, P.: Bicriterion path problems. LNEMS, vol.177, pp. 109-127 (1979)
    • (1979) LNEMS , vol.177 , pp. 109-127
    • Hansen, P.1
  • 23
    • 0034301999 scopus 로고    scopus 로고
    • An effective implementation of the lin-kernighan traveling salesman heuristic
    • Helsgaun, K.: An effective implementation of the lin-kernighan traveling salesman heuristic. European Journal of Operational Research 126, 106-130 (2000)
    • (2000) European Journal of Operational Research , vol.126 , pp. 106-130
    • Helsgaun, K.1
  • 24
    • 0002294347 scopus 로고
    • A simple sequentially rejective multiple test procedure
    • Holm, S.: A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics 6, 65-70 (1979)
    • (1979) Scandinavian Journal of Statistics , vol.6 , pp. 65-70
    • Holm, S.1
  • 25
  • 26
    • 0036671292 scopus 로고    scopus 로고
    • On the performance of multiple-objective genetic local search on the 0/1 knapsack problem-A comparative experiment
    • Jaszkiewicz, A.: On the Performance of Multiple-Objective Genetic Local Search on the 0/1 Knapsack Problem-A Comparative Experiment. IEEE Transactions on Evolutionary Computation 6(4), 402-412 (2002)
    • (2002) IEEE Transactions on Evolutionary Computation , vol.6 , Issue.4 , pp. 402-412
    • Jaszkiewicz, A.1
  • 27
    • 53449102767 scopus 로고    scopus 로고
    • Pareto memetic algorithm with path-relinking for biobjective traveling salesman problem
    • Jaszkiewicz, A., Zielniewicz, P.: Pareto memetic algorithm with path-relinking for biobjective traveling salesman problem. European Journal of Operational Research 193(3), 885-890 (2009)
    • (2009) European Journal of Operational Research , vol.193 , Issue.3 , pp. 885-890
    • Jaszkiewicz, A.1    Zielniewicz, P.2
  • 28
    • 0001193147 scopus 로고    scopus 로고
    • The traveling salesman problem: A case study in local optimization
    • Aarts E.H.L., Lenstra J.K. (eds.) John Wiley and Sons Ltd., Chichester
    • Johnson, D.S., McGeoch, L.A.: The Traveling Salesman Problem: A Case Study in Local Optimization. In: Aarts, E.H.L., Lenstra, J.K. (eds.) Local Search in Combinatorial Optimization, pp. 215-310. John Wiley and Sons Ltd., Chichester (1997)
    • (1997) Local Search in Combinatorial Optimization , pp. 215-310
    • Johnson, D.S.1    McGeoch, L.A.2
  • 29
  • 30
  • 33
    • 0024162869 scopus 로고
    • The multiobjective vending problem: A generalization of the traveling salesman problem
    • Keller, C.P., Goodchild, M.: The multiobjective vending problem: A generalization of the traveling salesman problem. Environment and Planning B: Planning and Design 15, 447-460 (1988)
    • (1988) Environment and Planning B: Planning and Design , vol.15 , pp. 447-460
    • Keller, C.P.1    Goodchild, M.2
  • 34
    • 70449967841 scopus 로고    scopus 로고
    • Pareto evolutionary algorithm hybridized with local search for biobjective TSP
    • Grosan C., Abraham A., Ishibuchi H. (eds.) ch, 14. Springer, Heidelberg
    • Kumar, R., Singh, P.K.: Pareto evolutionary algorithm hybridized with local search for biobjective TSP. In: Grosan, C., Abraham, A., Ishibuchi, H. (eds.) Hybrid Evolutionary Algorithms, ch. 14. Springer, Heidelberg (2007)
    • (2007) Hybrid Evolutionary Algorithms , pp. 14
    • Kumar, R.1    Singh, P.K.2
  • 35
    • 0039397863 scopus 로고    scopus 로고
    • Genetic algorithms for the travelling salesman problem: A review of representations and operators
    • Larranaga, P., Kuijpers, C.M.H., Murga, R.H., Inza, I., Dizdarevic, S.: Genetic algorithms for the travelling salesman problem: A review of representations and operators. Artificial Intelligence Review 13(2), 129-170 (1999)
    • (1999) Artificial Intelligence Review , vol.13 , Issue.2 , pp. 129-170
    • Larranaga, P.1    Kuijpers, C.M.H.2    Murga, R.H.3    Inza, I.4    Dizdarevic, S.5
  • 36
    • 24344477608 scopus 로고    scopus 로고
    • Finding Pareto-optimal set by merging attractors for a bi-objective traveling salesmen problem
    • Coello Coello C.A., Hernández Aguirre A., Zitzler E. (eds.) EMO 2005 Springer, Heidelberg
    • Li,W.: Finding Pareto-optimal set by merging attractors for a bi-objective traveling salesmen problem. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol.3410, pp. 797-810. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3410 , pp. 797-810
    • Li, W.1
  • 37
    • 0015604699 scopus 로고
    • An effective heuristic algorithm for the traveling-salesman problem
    • Lin, S., Kernighan, B.W.: An effective heuristic algorithm for the traveling-salesman problem. Operations Research 21, 498-516 (1973)
    • (1973) Operations Research , vol.21 , pp. 498-516
    • Lin, S.1    Kernighan, B.W.2
  • 38
    • 70349275517 scopus 로고    scopus 로고
    • Speed-up techniques for solving large-scale biobjective TSP
    • Lust, T., Jaszkiewicz, A.: Speed-up techniques for solving large-scale biobjective TSP. Computers & Operations Research 37(3), 521-533 (2010)
    • (2010) Computers & Operations Research , vol.37 , Issue.3 , pp. 521-533
    • Lust, T.1    Jaszkiewicz, A.2
  • 39
    • 77952239058 scopus 로고    scopus 로고
    • Two-phase Pareto local search for the biobjective traveling salesman problem
    • To appear in
    • Lust, T., Teghem, J.: Two-phase Pareto local search for the biobjective traveling salesman problem. To appear in Journal of Heuristics (2009)
    • (2009) Journal of Heuristics
    • Lust, T.1    Teghem, J.2
  • 41
    • 24344482011 scopus 로고    scopus 로고
    • The linear convolution of criteria in the bicriteria traveling salesman problem
    • Melamed, I.I., Sigal, K.I.: The linear convolution of criteria in the bicriteria traveling salesman problem. Computational Mathematics and Mathematical Physics 37(8), 902-905 (1997)
    • (1997) Computational Mathematics and Mathematical Physics , vol.37 , Issue.8 , pp. 902-905
    • Melamed, I.I.1    Sigal, K.I.2
  • 42
    • 0344545502 scopus 로고    scopus 로고
    • Memetic algorithms for the traveling salesman problem
    • Merz, P., Freisleben, B.: Memetic algorithms for the traveling salesman problem. Complex Systems 13, 297-345 (2001)
    • (2001) Complex Systems , vol.13 , pp. 297-345
    • Merz, P.1    Freisleben, B.2
  • 45
    • 24344481249 scopus 로고    scopus 로고
    • Pareto local optimum sets in the biobjective traveling salesman problem: An experimental study
    • Gandibleux X., Sevaux M., Sörensen K., T'kindt V. (eds.) Metaheuristics for Multiobjective Optimisation, Berlin Springer, Heidelberg
    • Paquete, L., Chiarandini, M., Stützle, T.: Pareto Local Optimum Sets in the Biobjective Traveling Salesman Problem: An Experimental Study. In: Gandibleux, X., Sevaux, M., Sörensen, K., T'kindt, V. (eds.) Metaheuristics for Multiobjective Optimisation, Berlin. LNEMS, vol.535, pp. 177-199. Springer, Heidelberg (2004)
    • (2004) LNEMS , vol.535 , pp. 177-199
    • Paquete, L.1    Chiarandini, M.2    Stützle, T.3
  • 46
    • 35248872021 scopus 로고    scopus 로고
    • A two-phase local search for the biobjective traveling salesman problem
    • Fonseca C.M., Fleming P.J., Zitzler E., Deb K., Thiele L. (eds.) EMO 2003 Springer, Heidelberg
    • Paquete, L., Stützle, T.: A Two-Phase Local Search for the Biobjective Traveling Salesman Problem. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol.2632, pp. 479-493. Springer, Heidelberg (2003)
    • (2003) LNCS , vol.2632 , pp. 479-493
    • Paquete, L.1    Stützle, T.2
  • 47
    • 60649106946 scopus 로고    scopus 로고
    • Design and analysis of stochastic local search for the multiobjective traveling salesman problem
    • Paquete, L., Stützle, T.: Design and analysis of stochastic local search for the multiobjective traveling salesman problem. Computers and Operations Research 36(9), 2619-2631 (2009)
    • (2009) Computers and Operations Research , vol.36 , Issue.9 , pp. 2619-2631
    • Paquete, L.1    Stützle, T.2
  • 49
    • 0026225350 scopus 로고
    • Tsplib-A traveling salesman problem library
    • Reinelt, G.: Tsplib-a traveling salesman problem library. ORSA Journal of Computing 3(4), 376-384 (1991)
    • (1991) ORSA Journal of Computing , vol.3 , Issue.4 , pp. 376-384
    • Reinelt, G.1
  • 51
    • 50349096056 scopus 로고    scopus 로고
    • A memetic random-key genetic algorithm for a symmetric travelling salesman problem
    • Samanlioglu, F., Ferrell Jr., W.G., Kurz, M.E.: A memetic random-key genetic algorithm for a symmetric travelling salesman problem. Computers and Industrial Engineering 55(2), 439-449 (2008)
    • (2008) Computers and Industrial Engineering , vol.55 , Issue.2 , pp. 439-449
    • Samanlioglu, F.1    Ferrell Jr., W.G.2    Kurz, M.E.3
  • 53
    • 73849127171 scopus 로고    scopus 로고
    • La programmation lińeaire multicrit̀ere
    • Dubois D., Pirlot M. (eds.), Herḿes
    • Teghem, J.: La programmation lińeaire multicrit̀ere. In: Dubois, D., Pirlot, M. (eds.) Concepts et ḿethodes pour l'aide ̀a la d́ecision, pp. 215-288. Herḿes (2006)
    • (2006) Concepts et Ḿethodes Pour l'Aide ̀a la D́ecision , pp. 215-288
    • Teghem, J.1
  • 54
    • 0041739877 scopus 로고
    • A survey of techniques for finding efficient solutions to multiobjective integer linear programming
    • Teghem, J., Kunsch, P.: A survey of techniques for finding efficient solutions to multiobjective integer linear programming. Asia-Pacific Journal of Operational Research 3(2), 95-108 (1986)
    • (1986) Asia-Pacific Journal of Operational Research , vol.3 , Issue.2 , pp. 95-108
    • Teghem, J.1    Kunsch, P.2
  • 56
    • 0013458646 scopus 로고
    • The two phases method: An efficient procedure to solve biobjective combinatorial optimization problems
    • Ulungu, E.L., Teghem, J.: The two phases method: An efficient procedure to solve biobjective combinatorial optimization problems. Foundation of Computing and Decision Science 20, 149-156 (1995)
    • (1995) Foundation of Computing and Decision Science , vol.20 , pp. 149-156
    • Ulungu, E.L.1    Teghem, J.2
  • 58
    • 35248901900 scopus 로고    scopus 로고
    • A new MOEA for multiobjective TSP and its convergence property analysis
    • Fonseca C.M., Fleming P.J., Zitzler E., Deb K., Thiele L. (eds.) EMO 2003 Springer, Heidelberg
    • Yan, Z., Zhang, L., Kang, L., Lin, G.: A new MOEA for multiobjective TSP and its convergence property analysis. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol.2632, pp. 342-354. Springer, Heidelberg (2003)
    • (2003) LNCS , vol.2632 , pp. 342-354
    • Yan, Z.1    Zhang, L.2    Kang, L.3    Lin, G.4
  • 60
    • 0038289574 scopus 로고    scopus 로고
    • Why quality assessment of multiobjective optimizers is difficult
    • Langdon W.B., Cant́u-Paz E., Mathias K., Roy R., Davis D., Poli R., Balakrishnan K., Honavar V., Rudolph G.,Wegener J., Bull L., Potter M.A., Schultz A.C., Miller J.F., Burke E., Jonoska N. (eds.) Morgan Kaufmann Publishers, San Francisco July 2000
    • Zitzler, E., Laumanns, M., Thiele, L., Fonseca, C.M., Grunert da Fonseca, V.:Why Quality Assessment of Multiobjective Optimizers Is Difficult. In: Langdon, W.B., Cant́u-Paz, E., Mathias, K., Roy, R., Davis, D., Poli, R., Balakrishnan, K., Honavar, V., Rudolph, G.,Wegener, J., Bull, L., Potter, M.A., Schultz, A.C., Miller, J.F., Burke, E., Jonoska, N. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2002), July 2002, pp. 666-673. Morgan Kaufmann Publishers, San Francisco (2002)
    • (2002) Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2002) , pp. 666-673
    • Zitzler, E.1    Laumanns, M.2    Thiele, L.3    Fonseca, C.M.4    Grunert Da Fonseca, V.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.