메뉴 건너뛰기




Volumn 46, Issue 8, 2012, Pages 1043-1067

Parametric search and problem decomposition for approximating Pareto-optimal paths

Author keywords

Biobjective shortest path; Constrained shortest path; Multiobjective problem decomposition; Parametric algorithm; Pareto optimal solution

Indexed keywords

BENCHMARKING; DECISION MAKING; GRAPH THEORY; OPTIMIZATION; PARAMETER ESTIMATION; PARETO PRINCIPLE; POLYNOMIAL APPROXIMATION; SUBROUTINES;

EID: 84865719274     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2012.03.005     Document Type: Article
Times cited : (15)

References (65)
  • 1
    • 0018320577 scopus 로고
    • Bicriterion transportation problem
    • Aneja Y.P., Nair K.P.K. Bicriterion transportation problem. Management Science 1979, 25(1):73-78.
    • (1979) Management Science , vol.25 , Issue.1 , pp. 73-78
    • Aneja, Y.P.1    Nair, K.P.K.2
  • 2
    • 0020765680 scopus 로고
    • Shortest chain subject to side constraints
    • Aneja Y.P., Aggarwal V., Nair K.P.K. Shortest chain subject to side constraints. Networks 1983, 13(2):295-302.
    • (1983) Networks , vol.13 , Issue.2 , pp. 295-302
    • Aneja, Y.P.1    Aggarwal, V.2    Nair, K.P.K.3
  • 3
    • 84986992097 scopus 로고
    • An algorithm for the resource constrained shortest path problem
    • Beasley J.E., Christofides N. An algorithm for the resource constrained shortest path problem. Networks 1989, 19(4):379-394.
    • (1989) Networks , vol.19 , Issue.4 , pp. 379-394
    • Beasley, J.E.1    Christofides, N.2
  • 4
    • 85012688561 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Bellman R. Dynamic Programming 1957, Princeton University Press, Princeton, NJ.
    • (1957) Dynamic Programming
    • Bellman, R.1
  • 5
    • 51249170044 scopus 로고
    • Multiobjective routing problems
    • Boffey B. Multiobjective routing problems. Top 1995, 3(2):167-220.
    • (1995) Top , vol.3 , Issue.2 , pp. 167-220
    • Boffey, B.1
  • 6
    • 0014857903 scopus 로고
    • Necessary and sufficient conditions for dynamic programming of combinatorial type
    • Bonzon P. Necessary and sufficient conditions for dynamic programming of combinatorial type. Journal of Association for Computing Machinery 1970, 17(4):675-682.
    • (1970) Journal of Association for Computing Machinery , vol.17 , Issue.4 , pp. 675-682
    • Bonzon, P.1
  • 8
    • 0024771348 scopus 로고
    • An empirical investigation of some bicriterion shortest path algorithms
    • Brumbaugh-Smith J., Shier D. An empirical investigation of some bicriterion shortest path algorithms. European Journal of Operational Research 1989, 43(2):216-224.
    • (1989) European Journal of Operational Research , vol.43 , Issue.2 , pp. 216-224
    • Brumbaugh-Smith, J.1    Shier, D.2
  • 9
    • 56749161545 scopus 로고    scopus 로고
    • Lagrangian relaxation and enumeration for solving constrained shortest-path problems
    • Carlyle W.M., Royset J.O., Wood R.K. Lagrangian relaxation and enumeration for solving constrained shortest-path problems. Networks 2008, 52(4):256-270.
    • (2008) Networks , vol.52 , Issue.4 , pp. 256-270
    • Carlyle, W.M.1    Royset, J.O.2    Wood, R.K.3
  • 10
    • 25144441278 scopus 로고    scopus 로고
    • Multiobjective path finding in stochastic dynamic networks with application to routing hazardous materials shipments
    • Chang T.S., Nozick L.K., Turnquist M.A. Multiobjective path finding in stochastic dynamic networks with application to routing hazardous materials shipments. Transportation Science 2005, 39(3):383-399.
    • (2005) Transportation Science , vol.39 , Issue.3 , pp. 383-399
    • Chang, T.S.1    Nozick, L.K.2    Turnquist, M.A.3
  • 14
    • 0033166646 scopus 로고    scopus 로고
    • An interactive biobjective shortest path approach: searching for unsupported nondominated solutions
    • Coutinho-Rodrigues J.M., Cli{dotless}́maco J.C.N., Current J.R. An interactive biobjective shortest path approach: searching for unsupported nondominated solutions. Computers and Operations Research 1999, 26(6):789-798.
    • (1999) Computers and Operations Research , vol.26 , Issue.6 , pp. 789-798
    • Coutinho-Rodrigues, J.M.1    Clí maco, J.C.N.2    Current, J.R.3
  • 15
    • 3343026230 scopus 로고
    • Routing and Scheduling of Hazardous Materials Shipments: Algorithmic Approaches to Managing Spent Nuclear Fuel Transport
    • PhD thesis. School of Civil and Environmental Engineering, Cornell University, Ithaca, NY.
    • Cox, R.G., 1984. Routing and Scheduling of Hazardous Materials Shipments: Algorithmic Approaches to Managing Spent Nuclear Fuel Transport. PhD thesis. School of Civil and Environmental Engineering, Cornell University, Ithaca, NY.
    • (1984)
    • Cox, R.G.1
  • 16
    • 0022766248 scopus 로고
    • Multiobjective design of transportation networks: Taxonomy and annotations
    • Current J.R., Min H. Multiobjective design of transportation networks: Taxonomy and annotations. European Journal of Operational Research 1986, 26(1):187-201.
    • (1986) European Journal of Operational Research , vol.26 , Issue.1 , pp. 187-201
    • Current, J.R.1    Min, H.2
  • 17
    • 0027544944 scopus 로고
    • Multiobjective transportation network design and routing problems: Taxonomy and annotation
    • Current J.R., Marsh M. Multiobjective transportation network design and routing problems: Taxonomy and annotation. European Journal of Operational Research 1993, 65(1):4-19.
    • (1993) European Journal of Operational Research , vol.65 , Issue.1 , pp. 4-19
    • Current, J.R.1    Marsh, M.2
  • 18
    • 0025229305 scopus 로고
    • An interactive approach to identify the best compromise solution for two objective shortest path problems
    • Current J.R., ReVelle C.S., Cohon J.L. An interactive approach to identify the best compromise solution for two objective shortest path problems. Computers and Operations Research 1990, 17(2):187-198.
    • (1990) Computers and Operations Research , vol.17 , Issue.2 , pp. 187-198
    • Current, J.R.1    ReVelle, C.S.2    Cohon, J.L.3
  • 20
    • 0002144209 scopus 로고
    • A generalized permanent labeling algorithm for the shortest path problem with time windows
    • Desrochers M., Soumis F. A generalized permanent labeling algorithm for the shortest path problem with time windows. Information Systems and Operational Research 1988, 26(3):193-214.
    • (1988) Information Systems and Operational Research , vol.26 , Issue.3 , pp. 193-214
    • Desrochers, M.1    Soumis, F.2
  • 21
    • 77957089136 scopus 로고
    • Time constrained routing and scheduling
    • North-Holland, Amsterdam, M.O. Ball, T.L. Magnanti, C.L. Monma, G.L. Nemhauser (Eds.) Handbook in Operations Research and Management Science
    • Desrosiers J., Dumas Y., Solomon M., Soumis F. Time constrained routing and scheduling. Network Routing 1995, vol. 8:35-139. North-Holland, Amsterdam. M.O. Ball, T.L. Magnanti, C.L. Monma, G.L. Nemhauser (Eds.).
    • (1995) Network Routing , vol.8 , pp. 35-139
    • Desrosiers, J.1    Dumas, Y.2    Solomon, M.3    Soumis, F.4
  • 23
    • 2142673126 scopus 로고    scopus 로고
    • Improved preprocessing labeling and scaling algorithms for the weight-constrained shortest path problem
    • Dumitrescu I., Boland N. Improved preprocessing labeling and scaling algorithms for the weight-constrained shortest path problem. Networks 2003, 42(3):135-153.
    • (2003) Networks , vol.42 , Issue.3 , pp. 135-153
    • Dumitrescu, I.1    Boland, N.2
  • 24
    • 0001322778 scopus 로고    scopus 로고
    • A survey and annotated bibliography of multiobjective combinatorial optimization
    • Ehrgott M., Gandibleux X. A survey and annotated bibliography of multiobjective combinatorial optimization. OR Spektrum 2000, 22(4):425-460.
    • (2000) OR Spektrum , vol.22 , Issue.4 , pp. 425-460
    • Ehrgott, M.1    Gandibleux, X.2
  • 25
    • 77950495962 scopus 로고    scopus 로고
    • Hazardous materials transportation
    • In: Barnhart, C., Laporte, G., (Eds.), Transportation Handbooks in Operations Research and Management Science, Elsevier, Amsterdam, The Netherlands
    • Ekrut, E., Tjandra, S.A., Verter, V., 2007. Hazardous materials transportation. In: Barnhart, C., Laporte, G., (Eds.), Transportation Handbooks in Operations Research and Management Science, vol. 14, Elsevier, Amsterdam, The Netherlands, pp. 539-621.
    • (2007) , vol.14 , pp. 539-621
    • Ekrut, E.1    Tjandra, S.A.2    Verter, V.3
  • 26
    • 0024749476 scopus 로고
    • Approximation of convex curves with application to the bicriterial minimum cost flow problem
    • Fruhwirth B., Burkard R.E., Rote G. Approximation of convex curves with application to the bicriterial minimum cost flow problem. European Journal of Operational Research 1989, 42(3):326-338.
    • (1989) European Journal of Operational Research , vol.42 , Issue.3 , pp. 326-338
    • Fruhwirth, B.1    Burkard, R.E.2    Rote, G.3
  • 28
    • 0035527944 scopus 로고    scopus 로고
    • Label correcting methods to solve multicriteria shortest path problems
    • Guerriero F., Musmanno R. Label correcting methods to solve multicriteria shortest path problems. Journal of Optimization Theory and Applications 2001, 111(3):589-613.
    • (2001) Journal of Optimization Theory and Applications , vol.111 , Issue.3 , pp. 589-613
    • Guerriero, F.1    Musmanno, R.2
  • 29
    • 84987047540 scopus 로고
    • A dual algorithm for the constrained shortest path problem
    • Handler G.Y., Zang I. A dual algorithm for the constrained shortest path problem. Networks 1980, 10(4):293-309.
    • (1980) Networks , vol.10 , Issue.4 , pp. 293-309
    • Handler, G.Y.1    Zang, I.2
  • 30
    • 0000072462 scopus 로고
    • Bicriterion path problems
    • Springer-Verlag, Heidelberg, Germany, G. Fandel, T. Gal (Eds.) Multiple Criteria Decision Making: Theory and Application
    • Hansen P. Bicriterion path problems. Lecture Notes in Economics and Mathematics Systems 1979, vol. 17:109-127. Springer-Verlag, Heidelberg, Germany. G. Fandel, T. Gal (Eds.).
    • (1979) Lecture Notes in Economics and Mathematics Systems , vol.17 , pp. 109-127
    • Hansen, P.1
  • 31
    • 0002777817 scopus 로고
    • Approximation schemes for the restricted shortest path problem
    • Hassin R. Approximation schemes for the restricted shortest path problem. Mathematics of Operations Research 1992, 17(1):36-42.
    • (1992) Mathematics of Operations Research , vol.17 , Issue.1 , pp. 36-42
    • Hassin, R.1
  • 32
    • 0022711421 scopus 로고
    • The shortest path problem with two objective functions
    • Henig M.I. The shortest path problem with two objective functions. European Journal of Operational Research 1985, 25(2):281-291.
    • (1985) European Journal of Operational Research , vol.25 , Issue.2 , pp. 281-291
    • Henig, M.I.1
  • 34
    • 0021392471 scopus 로고
    • Algorithms for finding paths with multiple constraints
    • Jaffe J.M. Algorithms for finding paths with multiple constraints. Networks 1984, 14(1):95-116.
    • (1984) Networks , vol.14 , Issue.1 , pp. 95-116
    • Jaffe, J.M.1
  • 35
    • 0345056105 scopus 로고    scopus 로고
    • A Two-Phase Resource Constrained Shortest Path Algorithm for Acyclic Graphs
    • Les Cahier du GERAD, G-96-48, Université de Montréal, Montréal, QC.
    • Jaumard, B., Semet, F., Vovor, T., 1996. A Two-Phase Resource Constrained Shortest Path Algorithm for Acyclic Graphs. Les Cahier du GERAD, G-96-48, Université de Montréal, Montréal, QC.
    • (1996)
    • Jaumard, B.1    Semet, F.2    Vovor, T.3
  • 37
    • 0035364530 scopus 로고    scopus 로고
    • A simple efficient approximation scheme for the restricted shortest path problem
    • Lorenz D.H., Raz D. A simple efficient approximation scheme for the restricted shortest path problem. Operations Research Letters 2001, 28(5):213-219.
    • (2001) Operations Research Letters , vol.28 , Issue.5 , pp. 213-219
    • Lorenz, D.H.1    Raz, D.2
  • 38
    • 0020811529 scopus 로고
    • Optimal paths in graphs with stochastic or multidimensional weights
    • Loui R. Optimal paths in graphs with stochastic or multidimensional weights. Communications of the Association for Computing Machinery 1983, 26(9):670-676.
    • (1983) Communications of the Association for Computing Machinery , vol.26 , Issue.9 , pp. 670-676
    • Loui, R.1
  • 40
    • 24944496012 scopus 로고    scopus 로고
    • Multiobjective vehicle routing and scheduling problem with time window constraints in hazardous material transportation
    • Meng Q., Lee D.H., Cheu R.L. Multiobjective vehicle routing and scheduling problem with time window constraints in hazardous material transportation. Journal of Transportation Engineering 2009, 131(9):699-707.
    • (2009) Journal of Transportation Engineering , vol.131 , Issue.9 , pp. 699-707
    • Meng, Q.1    Lee, D.H.2    Cheu, R.L.3
  • 41
  • 43
    • 0031210424 scopus 로고    scopus 로고
    • Integrated routing and scheduling in hazardous materials transportation
    • Nozick L.K., List G.F., Turnquist M.A. Integrated routing and scheduling in hazardous materials transportation. Transportation Science 1997, 31(3):200-215.
    • (1997) Transportation Science , vol.31 , Issue.3 , pp. 200-215
    • Nozick, L.K.1    List, G.F.2    Turnquist, M.A.3
  • 44
  • 45
    • 78650318900 scopus 로고    scopus 로고
    • An exact algorithm for finding extreme supported nondominated points of multiobjective mixed integer programs
    • özpeynirci ö., Köksalan M. An exact algorithm for finding extreme supported nondominated points of multiobjective mixed integer programs. Management Science 2010, 56(12):2302-2315.
    • (2010) Management Science , vol.56 , Issue.12 , pp. 2302-2315
    • özpeynirci, ö.1    Köksalan, M.2
  • 46
    • 77955482788 scopus 로고    scopus 로고
    • A recursive algorithm for finding all nondominated extreme points in the outcome set of a multiobjective integer programme
    • Przybylski A., Gandibleux X., Ehrgott M. A recursive algorithm for finding all nondominated extreme points in the outcome set of a multiobjective integer programme. INFORMS Journal on Computing 2010, 22(3):371-386.
    • (2010) INFORMS Journal on Computing , vol.22 , Issue.3 , pp. 371-386
    • Przybylski, A.1    Gandibleux, X.2    Ehrgott, M.3
  • 47
    • 78751575873 scopus 로고    scopus 로고
    • A two phase method for multi-objective integer programming and its application to the assignment problem with three objectives
    • Przybylski A., Gandibleux X., Ehrgott M. A two phase method for multi-objective integer programming and its application to the assignment problem with three objectives. Discrete Optimization 2010, 7(3):149-165.
    • (2010) Discrete Optimization , vol.7 , Issue.3 , pp. 149-165
    • Przybylski, A.1    Gandibleux, X.2    Ehrgott, M.3
  • 48
    • 54449087873 scopus 로고    scopus 로고
    • A comparison of solution strategies for biobjective shortest path problems
    • Raith A., Ehrgott M. A comparison of solution strategies for biobjective shortest path problems. Computers and Operations Research 2009, 36(4):1299-1331.
    • (2009) Computers and Operations Research , vol.36 , Issue.4 , pp. 1299-1331
    • Raith, A.1    Ehrgott, M.2
  • 49
    • 0001729130 scopus 로고    scopus 로고
    • A distributed algorithm for delay-constrained unicast routing
    • Reeves D.S., Salama H.F. A distributed algorithm for delay-constrained unicast routing. IEEE/ACM Transactions on Networking 2000, 8(2):239-250.
    • (2000) IEEE/ACM Transactions on Networking , vol.8 , Issue.2 , pp. 239-250
    • Reeves, D.S.1    Salama, H.F.2
  • 50
    • 81055137253 scopus 로고    scopus 로고
    • Enhancement of sandwich algorithms for approximating higher-dimensional convex Pareto sets
    • Rennen G., van Dam E.R., den Hertog D. Enhancement of sandwich algorithms for approximating higher-dimensional convex Pareto sets. INFORMS Journal on Computing 2011, 23(4):493-517.
    • (2011) INFORMS Journal on Computing , vol.23 , Issue.4 , pp. 493-517
    • Rennen, G.1    van Dam, E.R.2    den Hertog, D.3
  • 51
    • 0020709552 scopus 로고
    • A heuristic approach to hard constrained shortest path problems
    • Ribeiro C., Minoux M. A heuristic approach to hard constrained shortest path problems. Discrete Applied Mathematics 1985, 10(2):125-137.
    • (1985) Discrete Applied Mathematics , vol.10 , Issue.2 , pp. 125-137
    • Ribeiro, C.1    Minoux, M.2
  • 52
    • 77950974603 scopus 로고
    • Routing Hazardous Material Shipments
    • PhD thesis. Department of Geography, Indiana University, Bloomington, IN.
    • Robbins, J.C., 1983. Routing Hazardous Material Shipments. PhD thesis. Department of Geography, Indiana University, Bloomington, IN.
    • (1983)
    • Robbins, J.C.1
  • 53
    • 27844546434 scopus 로고    scopus 로고
    • New algorithms for multi-objective shortest path problem
    • Sastry V.N., Janakiraman T.N., Mohideen S.I. New algorithms for multi-objective shortest path problem. Opsearch 2003, 40(4):278-298.
    • (2003) Opsearch , vol.40 , Issue.4 , pp. 278-298
    • Sastry, V.N.1    Janakiraman, T.N.2    Mohideen, S.I.3
  • 54
    • 0042712321 scopus 로고
    • Some considerations about computational complexity for multi-objective combinatorial problems
    • Springer-Verlag, Berlin, J. Jahn, W. Krabs (Eds.) Recent Advances and Historical Development of Vector Optimization
    • Serafini P. Some considerations about computational complexity for multi-objective combinatorial problems. Lecture Notes in Economics and Mathematical Systems 1986, vol. 294:222-232. Springer-Verlag, Berlin. J. Jahn, W. Krabs (Eds.).
    • (1986) Lecture Notes in Economics and Mathematical Systems , vol.294 , pp. 222-232
    • Serafini, P.1
  • 55
    • 0034003285 scopus 로고    scopus 로고
    • A label correcting approach for solving bicriterion shortest-path problems
    • Skriver A.J.V., Andersen K.A. A label correcting approach for solving bicriterion shortest-path problems. Computers and Operations Research 2000, 27(6):507-524.
    • (2000) Computers and Operations Research , vol.27 , Issue.6 , pp. 507-524
    • Skriver, A.J.V.1    Andersen, K.A.2
  • 56
    • 0032073470 scopus 로고    scopus 로고
    • A new distributed routing algorithm for supporting delay-sensitive applications
    • Sun Q., Langendörfer H. A new distributed routing algorithm for supporting delay-sensitive applications. Computer Communications 1998, 21(6):572-578.
    • (1998) Computer Communications , vol.21 , Issue.6 , pp. 572-578
    • Sun, Q.1    Langendörfer, H.2
  • 59
    • 3342982945 scopus 로고
    • Routes schedules and risks in transporting hazardous materials
    • Elsevier Science, Amsterdam, The Netherlands, B. Lev (Ed.)
    • Turnquist M.A. Routes schedules and risks in transporting hazardous materials. Strategic Planning in Energy and Natural Resources 1987, 289-302. Elsevier Science, Amsterdam, The Netherlands. B. Lev (Ed.).
    • (1987) Strategic Planning in Energy and Natural Resources , pp. 289-302
    • Turnquist, M.A.1
  • 62
    • 0023207978 scopus 로고
    • Approximation of Pareto optima in multiple-objective shortest-path problems
    • Warburton A. Approximation of Pareto optima in multiple-objective shortest-path problems. Operations Research 1987, 35(1):70-79.
    • (1987) Operations Research , vol.35 , Issue.1 , pp. 70-79
    • Warburton, A.1
  • 63
    • 0019901905 scopus 로고
    • The set of efficient solutions for multiple objective shortest path problems
    • White D.J. The set of efficient solutions for multiple objective shortest path problems. Computers and Operations Research 1982, 9(2):101-107.
    • (1982) Computers and Operations Research , vol.9 , Issue.2 , pp. 101-107
    • White, D.J.1
  • 64
    • 0025478034 scopus 로고
    • A bibliography on the applications of mathematical programming multiple-objective methods
    • White D.J. A bibliography on the applications of mathematical programming multiple-objective methods. The Journal of the Operational Research Society 1990, 41(8):669-691.
    • (1990) The Journal of the Operational Research Society , vol.41 , Issue.8 , pp. 669-691
    • White, D.J.1
  • 65
    • 33744780247 scopus 로고    scopus 로고
    • The constrained shortest path problem: algorithmic approaches and an algebraic study with generalization
    • Xiao Y., Thulasiraman K., Xue G., Jüttnet A. The constrained shortest path problem: algorithmic approaches and an algebraic study with generalization. International Journal of Graphs and Combinatorics 2005, 2(2):63-86.
    • (2005) International Journal of Graphs and Combinatorics , vol.2 , Issue.2 , pp. 63-86
    • Xiao, Y.1    Thulasiraman, K.2    Xue, G.3    Jüttnet, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.