메뉴 건너뛰기




Volumn 11, Issue 4, 2011, Pages 727-751

The Pareto-optimal Solution Set of the Equilibrium Network Design Problem with Multiple Commensurate Objectives

Author keywords

Commensurate objectives; Equilibrium network design problems; Multi objective optimization; Parametric method; Pareto optimal solution set

Indexed keywords


EID: 81255172282     PISSN: 1566113X     EISSN: 15729427     Source Type: Journal    
DOI: 10.1007/s11067-010-9146-3     Document Type: Article
Times cited : (12)

References (45)
  • 1
    • 0018441832 scopus 로고
    • Continuous equilibrium network design models
    • Abdulaal M, Leblanc LJ (1979) Continuous equilibrium network design models. Transp Res Part B: Methodol 13(1): 19-32.
    • (1979) Transp Res Part B: Methodol , vol.13 , Issue.1 , pp. 19-32
    • Abdulaal, M.1    Leblanc, L.J.2
  • 3
    • 0018320577 scopus 로고
    • Bicriteria transportation problem
    • Aneja YP, Nair KPK (1979) Bicriteria transportation problem. Manage Sci 25(1): 73-78.
    • (1979) Manage Sci , vol.25 , Issue.1 , pp. 73-78
    • Aneja, Y.P.1    Nair, K.P.K.2
  • 5
    • 0004101786 scopus 로고
    • Bureau of Public Roads, U.S. Dept. of Commerce, Urban Planning Division, Washington, DC
    • Bureau of Public Roads (1964) Traffic assignment manual. U. S. Dept. of Commerce, Urban Planning Division, Washington, DC.
    • (1964) Traffic assignment manual
  • 6
    • 0024917186 scopus 로고
    • Transportation network design problem: application of a hierarchical search algorithm
    • Chan Y, Shen TS, Mahaba NM (1989) Transportation network design problem: application of a hierarchical search algorithm. Transp Res Rec 1251: 24-34.
    • (1989) Transp Res Rec , vol.1251 , pp. 24-34
    • Chan, Y.1    Shen, T.S.2    Mahaba, N.M.3
  • 7
    • 33749527911 scopus 로고    scopus 로고
    • A simulation-based multi-objective genetic algorithm (SMOGA) for build-operate-transfer network design problem
    • Chen A, Subprasom K, Ji Z (2006) A simulation-based multi-objective genetic algorithm (SMOGA) for build-operate-transfer network design problem. Optim and Eng J 7(3): 225-247.
    • (2006) Optim and Eng J , vol.7 , Issue.3 , pp. 225-247
    • Chen, A.1    Subprasom, K.2    Ji, Z.3
  • 10
    • 0027544944 scopus 로고
    • Multiobjective transportation network design and routing problems: taxonomy and annotation
    • Current JR, Marsh M (1993) Multiobjective transportation network design and routing problems: taxonomy and annotation. Eur J Oper Res 65(1): 4-19.
    • (1993) Eur J Oper Res , vol.65 , Issue.1 , pp. 4-19
    • Current, J.R.1    Marsh, M.2
  • 11
    • 0022766248 scopus 로고
    • Multiobjective design of transportation networks: taxonomy and annotation
    • Current JR, Min H (1986) Multiobjective design of transportation networks: taxonomy and annotation. Eur J Oper Res 26(2): 187-201.
    • (1986) Eur J Oper Res , vol.26 , Issue.2 , pp. 187-201
    • Current, J.R.1    Min, H.2
  • 12
    • 0023397887 scopus 로고
    • The median shortest path problem: a multiobjective approach to analyze cost versus accessibility in the design of transportation networks
    • Current JR, ReVelle CS, Cohon JL (1987) The median shortest path problem: a multiobjective approach to analyze cost versus accessibility in the design of transportation networks. Transp Sci 21(3): 188-197.
    • (1987) Transp Sci , vol.21 , Issue.3 , pp. 188-197
    • Current, J.R.1    Revelle, C.S.2    Cohon, J.L.3
  • 14
    • 0030149460 scopus 로고    scopus 로고
    • Bicriterion traffic assignment: basic theory and elementary algorithms
    • Dial RB (1996) Bicriterion traffic assignment: basic theory and elementary algorithms. Transp Sci 30(2): 93-111.
    • (1996) Transp Sci , vol.30 , Issue.2 , pp. 93-111
    • Dial, R.B.1
  • 15
    • 0031257994 scopus 로고    scopus 로고
    • Bicriterion traffic assignment: efficient algorithms plus examples
    • Dial RB (1997) Bicriterion traffic assignment: efficient algorithms plus examples. Transp Res 31B(5): 357-379.
    • (1997) Transp Res , vol.31 B , Issue.5 , pp. 357-379
    • Dial, R.B.1
  • 16
    • 63849269759 scopus 로고    scopus 로고
    • Incorporating environmental justice measures into equilibrium-based network design
    • Duthie J, Waller ST (2008) Incorporating environmental justice measures into equilibrium-based network design. Transp Res Rec 2089: 58-65.
    • (2008) Transp Res Rec , vol.2089 , pp. 58-65
    • Duthie, J.1    Waller, S.T.2
  • 17
    • 0001322778 scopus 로고    scopus 로고
    • A survey and annotated bibliography of multiobjective combinatorial optimization
    • Ehrgott M, Gandibleux X (2000) A survey and annotated bibliography of multiobjective combinatorial optimization. OR Spectr 22(4): 425-460.
    • (2000) OR Spectr , vol.22 , Issue.4 , pp. 425-460
    • Ehrgott, M.1    Gandibleux, X.2
  • 18
    • 0021520669 scopus 로고
    • An overview of techniques for solving multiobjective mathematical programs
    • Evans GW (1984) An overview of techniques for solving multiobjective mathematical programs. Manage Sci 30(11): 1268-1282.
    • (1984) Manage Sci , vol.30 , Issue.11 , pp. 1268-1282
    • Evans, G.W.1
  • 19
    • 0006661004 scopus 로고
    • Multiobjective optimization in transportation: the case of equilibrium network design
    • J. N. Morse (Ed.), Berlin: Springer-Verlag
    • Friesz TL (1981) Multiobjective optimization in transportation: the case of equilibrium network design. In: Morse JN (ed) Organizations: multiple agents with multiple criteria. Springer-Verlag, Berlin.
    • (1981) Organizations: Multiple Agents with Multiple Criteria
    • Friesz, T.L.1
  • 20
    • 0020831851 scopus 로고
    • Multicriteria spatial price equilibrium network design: theory and computational results
    • Friesz TL, Harker PT (1983) Multicriteria spatial price equilibrium network design: theory and computational results. Transp Res 17B(5): 411-426.
    • (1983) Transp Res , vol.17 B , Issue.5 , pp. 411-426
    • Friesz, T.L.1    Harker, P.T.2
  • 21
    • 0027541681 scopus 로고
    • The multiobjective equilibrium network design problem revisited: a simulated annealing approach
    • Friesz TL, Anandalingam G, Mehta NJ, Nam K, Shah SJ, Tobin RL (1993) The multiobjective equilibrium network design problem revisited: a simulated annealing approach. Eur J Oper Res 65(1): 44-57.
    • (1993) Eur J Oper Res , vol.65 , Issue.1 , pp. 44-57
    • Friesz, T.L.1    Anandalingam, G.2    Mehta, N.J.3    Nam, K.4    Shah, S.J.5    Tobin, R.L.6
  • 22
    • 0024749476 scopus 로고
    • Approximation of convex curves with application to the bicriterial minimum cost flow problem
    • Fruhwirth B, Burkard RE, Rote G (1989) Approximation of convex curves with application to the bicriterial minimum cost flow problem. Eur J Oper Res 42(3): 326-338.
    • (1989) Eur J Oper Res , vol.42 , Issue.3 , pp. 326-338
    • Fruhwirth, B.1    Burkard, R.E.2    Rote, G.3
  • 23
    • 0015475257 scopus 로고
    • An interactive approach for multi-criterion optimization, with an application to the operation of an academic department
    • Geoffrion AM, Dyer JS, Feinberg A (1972) An interactive approach for multi-criterion optimization, with an application to the operation of an academic department. Manage Sci 19(4): 357-368.
    • (1972) Manage Sci , vol.19 , Issue.4 , pp. 357-368
    • Geoffrion, A.M.1    Dyer, J.S.2    Feinberg, A.3
  • 24
    • 63649130006 scopus 로고    scopus 로고
    • User heterogeneity and bi-criteria system optimum
    • Guo X, Yang H (2009) User heterogeneity and bi-criteria system optimum. Transp Res 43B(4): 379-390.
    • (2009) Transp Res , vol.43 B , Issue.4 , pp. 379-390
    • Guo, X.1    Yang, H.2
  • 26
    • 0016539223 scopus 로고
    • An algorithm for the discrete network design problem
    • LeBlanc LJ (1975) An algorithm for the discrete network design problem. Transp Sci 9(3): 183-199.
    • (1975) Transp Sci , vol.9 , Issue.3 , pp. 183-199
    • Leblanc, L.J.1
  • 27
    • 0018441832 scopus 로고
    • Continuous equilibrium network design models
    • LeBlanc LJ, Abdulaal M (1979a) Continuous equilibrium network design models. Transp Res 13B(1): 19-32.
    • (1979) Transp Res , vol.13 B , Issue.1 , pp. 19-32
    • Leblanc, L.J.1    Abdulaal, M.2
  • 28
    • 0018678715 scopus 로고
    • An efficient dual approach to the urban road network design problem
    • LeBlanc LJ, Abdulaal M (1979b) An efficient dual approach to the urban road network design problem. Comput Math Appl 5(1): 11-19.
    • (1979) Comput Math Appl , vol.5 , Issue.1 , pp. 11-19
    • Leblanc, L.J.1    Abdulaal, M.2
  • 29
    • 0027833206 scopus 로고
    • Cost versus time equilibrium over a network
    • Leurent F (1993) Cost versus time equilibrium over a network. Eur J Oper Res 71(2): 205-221.
    • (1993) Eur J Oper Res , vol.71 , Issue.2 , pp. 205-221
    • Leurent, F.1
  • 30
    • 0014650246 scopus 로고
    • Benefit-cost ratios for projects in multiple objective investment programs
    • Major DC (1969) Benefit-cost ratios for projects in multiple objective investment programs. Water Resour Res 5(6): 1174-1178.
    • (1969) Water Resour Res , vol.5 , Issue.6 , pp. 1174-1178
    • Major, D.C.1
  • 32
    • 33947424839 scopus 로고    scopus 로고
    • Efficiency and equity comparison of cordon and area based road pricing schemes using a trip-chain equilibrium model
    • Maruyama T, Sumalee A (2007) Efficiency and equity comparison of cordon and area based road pricing schemes using a trip-chain equilibrium model. Transp Res 41A(7): 655-671.
    • (2007) Transp Res , vol.41 A , Issue.7 , pp. 655-671
    • Maruyama, T.1    Sumalee, A.2
  • 33
    • 0036027613 scopus 로고    scopus 로고
    • Benefit distribution and equity in road network design
    • Meng Q, Yang H (2002) Benefit distribution and equity in road network design. Transp Res 36B(1): 19-35.
    • (2002) Transp Res , vol.36 B , Issue.1 , pp. 19-35
    • Meng, Q.1    Yang, H.2
  • 34
    • 0034254399 scopus 로고    scopus 로고
    • A multiclass, multicriteria traffic network equilibrium model
    • Nagurney A (2000) A multiclass, multicriteria traffic network equilibrium model. Math Comput Model 32(3-4): 393-411.
    • (2000) Math Comput Model , vol.32 , Issue.3-4 , pp. 393-411
    • Nagurney, A.1
  • 35
    • 23844480435 scopus 로고    scopus 로고
    • Approximation methods in multiobjective programming
    • Ruzika S, Wiecek M (2005) Approximation methods in multiobjective programming. J Optim Theory Appl 126(3): 473-501.
    • (2005) J Optim Theory Appl , vol.126 , Issue.3 , pp. 473-501
    • Ruzika, S.1    Wiecek, M.2
  • 36
    • 63349089346 scopus 로고    scopus 로고
    • Road user charging design: dealing with multi-objectives and constraints
    • Sumalee A, Shepherd SP, May AD (2009) Road user charging design: dealing with multi-objectives and constraints. Transportation 36(2): 167-186.
    • (2009) Transportation , vol.36 , Issue.2 , pp. 167-186
    • Sumalee, A.1    Shepherd, S.P.2    May, A.D.3
  • 37
    • 0031098712 scopus 로고
    • Application of multiple criteria decision making for network improvement
    • Tzeng GH, Tsaur SH (1994) Application of multiple criteria decision making for network improvement. J Adv Transp 31(1): 49-74.
    • (1994) J Adv Transp , vol.31 , Issue.1 , pp. 49-74
    • Tzeng, G.H.1    Tsaur, S.H.2
  • 38
    • 84994926936 scopus 로고
    • Multiobjective combinatorial optimization problems: a survey
    • Ulungu EL, Teghem J (1994) Multiobjective combinatorial optimization problems: a survey. J Multi-Criteria Decis Anal 3(2): 83-104.
    • (1994) J Multi-Criteria Decis Anal , vol.3 , Issue.2 , pp. 83-104
    • Ulungu, E.L.1    Teghem, J.2
  • 39
    • 0025478034 scopus 로고
    • A bibliography on the applications of mathematical programming multiple-objective methods
    • White DJ (1990) A bibliography on the applications of mathematical programming multiple-objective methods. J Oper Res Soc 41(8): 669-691.
    • (1990) J Oper Res Soc , vol.41 , Issue.8 , pp. 669-691
    • White, D.J.1
  • 40
    • 0031829844 scopus 로고    scopus 로고
    • Models and algorithms for road network design: a review and some new developments
    • Yang H, Bell MGH (1998) Models and algorithms for road network design: a review and some new developments. Transp Rev 18(3): 257-278.
    • (1998) Transp Rev , vol.18 , Issue.3 , pp. 257-278
    • Yang, H.1    Bell, M.G.H.2
  • 41
    • 0142187178 scopus 로고    scopus 로고
    • The multi-class, multi-criteria traffic network equilibrium and systems optimum problem
    • Yang H, Huang HJ (2004) The multi-class, multi-criteria traffic network equilibrium and systems optimum problem. Transp Res 38B(1): 1-15.
    • (2004) Transp Res , vol.38 B , Issue.1 , pp. 1-15
    • Yang, H.1    Huang, H.J.2
  • 42
    • 0036954383 scopus 로고    scopus 로고
    • Travel time minimization versus reserve capacity maximization in the network design problem
    • Yang H, Wang JYT (2002) Travel time minimization versus reserve capacity maximization in the network design problem. Transp Res Rec 1783: 17-26.
    • (2002) Transp Res Rec , vol.1783 , pp. 17-26
    • Yang, H.1    Wang, J.Y.T.2
  • 43
    • 0036885370 scopus 로고    scopus 로고
    • Multiobjective bilevel optimization for transportation planning and management problems
    • Yin Y (2002) Multiobjective bilevel optimization for transportation planning and management problems. J Adv Transp 36(1): 93-105.
    • (2002) J Adv Transp , vol.36 , Issue.1 , pp. 93-105
    • Yin, Y.1
  • 44
    • 33746375647 scopus 로고    scopus 로고
    • Internalizing emission externality on road networks
    • Yin Y, Lawphongpanich L (2006) Internalizing emission externality on road networks. Transp Res 11D(4): 292-301.
    • (2006) Transp Res , vol.11 D , Issue.4 , pp. 292-301
    • Yin, Y.1    Lawphongpanich, L.2
  • 45
    • 84939004610 scopus 로고
    • Optimality and non-scalar-valued performance criteria
    • Zadeh LA (1963) Optimality and non-scalar-valued performance criteria. IEEE Trans Autom Control 8(1): 59-60.
    • (1963) IEEE Trans Autom Control , vol.8 , Issue.1 , pp. 59-60
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.