메뉴 건너뛰기




Volumn 46, Issue 8, 2012, Pages 1023-1042

Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization

Author keywords

Lagrangian relaxation; Linearization method; Nonlinear duality; Stochastic traffic assignment; Unconstrained optimization

Indexed keywords

COMBINATORIAL OPTIMIZATION; CONVEX OPTIMIZATION; LAGRANGE MULTIPLIERS; NONLINEAR PROGRAMMING; OPTIMIZATION; STOCHASTIC SYSTEMS;

EID: 84864445517     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2012.03.003     Document Type: Article
Times cited : (25)

References (41)
  • 1
    • 0030302511 scopus 로고    scopus 로고
    • Cyclic flows, Markov process and stochastic traffic assignment
    • Akamatsu T. Cyclic flows, Markov process and stochastic traffic assignment. Transportation Research Part B 1996, 30(5):369-386.
    • (1996) Transportation Research Part B , vol.30 , Issue.5 , pp. 369-386
    • Akamatsu, T.1
  • 2
    • 0036870587 scopus 로고    scopus 로고
    • Origin-based algorithm for the traffic assignment problem
    • Bar-Gera H. Origin-based algorithm for the traffic assignment problem. Transportation Science 2002, 36(4):398-417.
    • (2002) Transportation Science , vol.36 , Issue.4 , pp. 398-417
    • Bar-Gera, H.1
  • 4
    • 0029515752 scopus 로고
    • Alternatives to Dial's logit assignment algorithm
    • Bell M.G.H. Alternatives to Dial's logit assignment algorithm. Transportation Research Part B 1995, 29(4):287-295.
    • (1995) Transportation Research Part B , vol.29 , Issue.4 , pp. 287-295
    • Bell, M.G.H.1
  • 6
    • 0031139471 scopus 로고    scopus 로고
    • A general fixed-point approach to multi-mode multi-user equilibrium assignment with elastic demand
    • Cantarella G.E. A general fixed-point approach to multi-mode multi-user equilibrium assignment with elastic demand. Transportation Science 1997, 31(2):107-128.
    • (1997) Transportation Science , vol.31 , Issue.2 , pp. 107-128
    • Cantarella, G.E.1
  • 7
    • 0022268503 scopus 로고
    • The dual of the traffic assignment problem with elastic demands
    • Carey M. The dual of the traffic assignment problem with elastic demands. Transportation Research Part B 1985, 19(3):227-237.
    • (1985) Transportation Research Part B , vol.19 , Issue.3 , pp. 227-237
    • Carey, M.1
  • 8
    • 0010677820 scopus 로고
    • Algorithms for solving Fisk's stochastic traffic assignment model
    • Chen M., Alfa A.S. Algorithms for solving Fisk's stochastic traffic assignment model. Transportation Research Part B 1991, 25(6):405-412.
    • (1991) Transportation Research Part B , vol.25 , Issue.6 , pp. 405-412
    • Chen, M.1    Alfa, A.S.2
  • 9
    • 0020168223 scopus 로고
    • Unconstrained extremal formulation of some transportation equilibrium problems
    • Daganzo C.F. Unconstrained extremal formulation of some transportation equilibrium problems. Transportation Science 1982, 16(3):332-360.
    • (1982) Transportation Science , vol.16 , Issue.3 , pp. 332-360
    • Daganzo, C.F.1
  • 10
    • 0015078345 scopus 로고
    • A probabilistic multipath traffic assignment problem which obviates path numeration
    • Dial R.B. A probabilistic multipath traffic assignment problem which obviates path numeration. Transportation Research 1971, 5(2):83-111.
    • (1971) Transportation Research , vol.5 , Issue.2 , pp. 83-111
    • Dial, R.B.1
  • 11
    • 33745865164 scopus 로고    scopus 로고
    • A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration
    • Dial R.B. A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration. Transportation Research Part B 2006, 40(10):917-936.
    • (2006) Transportation Research Part B , vol.40 , Issue.10 , pp. 917-936
    • Dial, R.B.1
  • 12
    • 0016920939 scopus 로고
    • Derivation and analysis of some models for combining trip distribution and assignment
    • Evans S.P. Derivation and analysis of some models for combining trip distribution and assignment. Transportation Research 1976, 10(1):37-57.
    • (1976) Transportation Research , vol.10 , Issue.1 , pp. 37-57
    • Evans, S.P.1
  • 13
    • 0019229288 scopus 로고
    • Some developments in equilibrium traffic assignment
    • Fisk C. Some developments in equilibrium traffic assignment. Transportation Research Part B 1980, 14(3):243-255.
    • (1980) Transportation Research Part B , vol.14 , Issue.3 , pp. 243-255
    • Fisk, C.1
  • 15
    • 76149135678 scopus 로고    scopus 로고
    • A new look at the projected gradient method for equilibrium assignment
    • Florian M., Constantin I., Florian D. A new look at the projected gradient method for equilibrium assignment. Transportation Research Record 2009, 2090:10-16.
    • (2009) Transportation Research Record , vol.2090 , pp. 10-16
    • Florian, M.1    Constantin, I.2    Florian, D.3
  • 16
    • 0021643928 scopus 로고
    • On the dual approach to the traffic assignment problem
    • Fukushima M. On the dual approach to the traffic assignment problem. Transportation Research Part B 1984, 18(3):235-245.
    • (1984) Transportation Research Part B , vol.18 , Issue.3 , pp. 235-245
    • Fukushima, M.1
  • 17
    • 0031273029 scopus 로고    scopus 로고
    • The traffic equilibrium problem with nonadditive path costs
    • Gabriel S.A., Bernstein D. The traffic equilibrium problem with nonadditive path costs. Transportation Science 1997, 31(4):337-348.
    • (1997) Transportation Science , vol.31 , Issue.4 , pp. 337-348
    • Gabriel, S.A.1    Bernstein, D.2
  • 18
    • 0002168113 scopus 로고
    • Traffic equilibria analyzed via geometric programming
    • Springer, New York, NY, M. Florian (Ed.)
    • Hall M.A., Peterson E.L. Traffic equilibria analyzed via geometric programming. Traffic Equilibrium Methods 1975, 53-105. Springer, New York, NY. M. Florian (Ed.).
    • (1975) Traffic Equilibrium Methods , pp. 53-105
    • Hall, M.A.1    Peterson, E.L.2
  • 19
    • 0020116651 scopus 로고
    • The gap function of a convex program
    • Hearn D.W. The gap function of a convex program. Operations Research Letters 1982, 1(2):67-71.
    • (1982) Operations Research Letters , vol.1 , Issue.2 , pp. 67-71
    • Hearn, D.W.1
  • 20
    • 0001055816 scopus 로고
    • A dual ascent algorithm for traffic assignment problems
    • Hearn D.W., Lawphongpanich S. A dual ascent algorithm for traffic assignment problems. Transportation Research Part B 1990, 24(6):423-430.
    • (1990) Transportation Research Part B , vol.24 , Issue.6 , pp. 423-430
    • Hearn, D.W.1    Lawphongpanich, S.2
  • 21
    • 0021473876 scopus 로고
    • Convex programming formulations of the asymmetric traffic assignment problem
    • Hearn D.W., Lawphongpanich S., Nguyen S. Convex programming formulations of the asymmetric traffic assignment problem. Transportation Research Part B 1984, 18(4/5):357-365.
    • (1984) Transportation Research Part B , vol.18 , Issue.4-5 , pp. 357-365
    • Hearn, D.W.1    Lawphongpanich, S.2    Nguyen, S.3
  • 23
    • 0026822031 scopus 로고
    • Simplicial decomposition with disaggregated representation for the traffic assignment problem
    • Larsson T., Patriksson M. Simplicial decomposition with disaggregated representation for the traffic assignment problem. Transportation Science 1992, 26(1):4-17.
    • (1992) Transportation Science , vol.26 , Issue.1 , pp. 4-17
    • Larsson, T.1    Patriksson, M.2
  • 24
    • 0031447124 scopus 로고    scopus 로고
    • A dual scheme for traffic assignment problems
    • Larsson T., Liu Z., Patriksson M. A dual scheme for traffic assignment problems. Optimization 1997, 42(4):323-358.
    • (1997) Optimization , vol.42 , Issue.4 , pp. 323-358
    • Larsson, T.1    Liu, Z.2    Patriksson, M.3
  • 25
    • 0016565756 scopus 로고
    • An efficient approach to solving the road network equilibrium traffic assignment problem
    • LeBlanc L.J., Morlok E.K., Pierskalla W. An efficient approach to solving the road network equilibrium traffic assignment problem. Transportation Research 1975, 9(5):309-318.
    • (1975) Transportation Research , vol.9 , Issue.5 , pp. 309-318
    • LeBlanc, L.J.1    Morlok, E.K.2    Pierskalla, W.3
  • 26
    • 77950961287 scopus 로고    scopus 로고
    • Origin-based partial linearization method for the stochastic user equilibrium traffic assignment problem
    • Lee D.H., Meng Q., Deng W. Origin-based partial linearization method for the stochastic user equilibrium traffic assignment problem. Journal of Transportation Engineering 2010, 136(1):52-60.
    • (2010) Journal of Transportation Engineering , vol.136 , Issue.1 , pp. 52-60
    • Lee, D.H.1    Meng, Q.2    Deng, W.3
  • 27
    • 84892922160 scopus 로고    scopus 로고
    • Method of successive weighted averages and self-regulated averaging schemes for solving stochastic user equilibrium problem
    • Liu H.X., He X., He B. Method of successive weighted averages and self-regulated averaging schemes for solving stochastic user equilibrium problem. Networks and Spatial Economics 2009, 9(4):485-503.
    • (2009) Networks and Spatial Economics , vol.9 , Issue.4 , pp. 485-503
    • Liu, H.X.1    He, X.2    He, B.3
  • 28
    • 0034121259 scopus 로고    scopus 로고
    • Traffic equilibrium problem with route-specific costs: formulation and algorithms
    • Lo H.K., Chen A. Traffic equilibrium problem with route-specific costs: formulation and algorithms. Transportation Research Part B 2000, 34(6):493-513.
    • (2000) Transportation Research Part B , vol.34 , Issue.6 , pp. 493-513
    • Lo, H.K.1    Chen, A.2
  • 29
    • 0032219174 scopus 로고    scopus 로고
    • Algorithms for logit-based stochastic user-equilibrium assignment
    • Maher M.J. Algorithms for logit-based stochastic user-equilibrium assignment. Transportation Research Part B 1998, 32(8):539-549.
    • (1998) Transportation Research Part B , vol.32 , Issue.8 , pp. 539-549
    • Maher, M.J.1
  • 30
    • 0031284791 scopus 로고    scopus 로고
    • A probit-based stochastic user equilibrium assignment model
    • Maher M.J., Hughes P.C. A probit-based stochastic user equilibrium assignment model. Transportation Research Part B 1997, 31(4):341-355.
    • (1997) Transportation Research Part B , vol.31 , Issue.4 , pp. 341-355
    • Maher, M.J.1    Hughes, P.C.2
  • 31
    • 0035339288 scopus 로고    scopus 로고
    • Stochastic user equilibrium assignment with elastic demand
    • Maher M.J. Stochastic user equilibrium assignment with elastic demand. Traffic Engineering and Control 2001, 42(5):163-167.
    • (2001) Traffic Engineering and Control , vol.42 , Issue.5 , pp. 163-167
    • Maher, M.J.1
  • 33
    • 51049100370 scopus 로고    scopus 로고
    • General stochastic user equilibrium traffic assignment problem with link capacity constraints
    • Meng Q., Lam W.H.K., Yang L. General stochastic user equilibrium traffic assignment problem with link capacity constraints. Journal of Advanced Transportation 2008, 42(4):429-465.
    • (2008) Journal of Advanced Transportation , vol.42 , Issue.4 , pp. 429-465
    • Meng, Q.1    Lam, W.H.K.2    Yang, L.3
  • 34
    • 0016092442 scopus 로고
    • An algorithm for the traffic assignment problem
    • Nguyen S. An algorithm for the traffic assignment problem. Transportation Science 1974, 8(3):203-216.
    • (1974) Transportation Science , vol.8 , Issue.3 , pp. 203-216
    • Nguyen, S.1
  • 35
    • 0002199314 scopus 로고
    • A unified approach to equilibrium methods for traffic assignment
    • Springer-Verlag, New York, NY
    • Nguyen S. A unified approach to equilibrium methods for traffic assignment. Traffic Equilibrium Methods 1976, 148-182. Springer-Verlag, New York, NY.
    • (1976) Traffic Equilibrium Methods , pp. 148-182
    • Nguyen, S.1
  • 36
    • 0003586775 scopus 로고
    • The Traffic Assignment Problem: Models and Methods
    • VSP, Utrecht, The Netherlands.
    • Patriksson, M., 1994. The Traffic Assignment Problem: Models and Methods. VSP, Utrecht, The Netherlands.
    • (1994)
    • Patriksson, M.1
  • 38
    • 0020140779 scopus 로고
    • An algorithm for the equilibrium assignment problem with random link times
    • Sheffi Y., Powell W.B. An algorithm for the equilibrium assignment problem with random link times. Networks 1982, 12(2):191-207.
    • (1982) Networks , vol.12 , Issue.2 , pp. 191-207
    • Sheffi, Y.1    Powell, W.B.2
  • 39
    • 0020970488 scopus 로고
    • An algorithm for solving asymmetric equilibrium problems with a continuous cost-flow function
    • Smith M.J. An algorithm for solving asymmetric equilibrium problems with a continuous cost-flow function. Transportation Research Part B 1983, 17(5):365-371.
    • (1983) Transportation Research Part B , vol.17 , Issue.5 , pp. 365-371
    • Smith, M.J.1
  • 40
    • 0000480749 scopus 로고
    • On the formation of travel demand models and economic evaluation measures of user benefits
    • Williams H.C.L. On the formation of travel demand models and economic evaluation measures of user benefits. Environmental Planning Part A 1977, 9(3):285-344.
    • (1977) Environmental Planning Part A , vol.9 , Issue.3 , pp. 285-344
    • Williams, H.C.L.1
  • 41
    • 0142187178 scopus 로고    scopus 로고
    • The multi-class, multi-criteria traffic network equilibrium and systems optimum problem
    • Yang H., Huang H.J. The multi-class, multi-criteria traffic network equilibrium and systems optimum problem. Transportation Research Part B 2004, 38(1):1-15.
    • (2004) Transportation Research Part B , vol.38 , Issue.1 , pp. 1-15
    • Yang, H.1    Huang, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.