메뉴 건너뛰기




Volumn 45, Issue 1, 2011, Pages 176-207

Approximate network loading and dual-time-scale dynamic user equilibrium

Author keywords

Differential algebraic equations; Differential variational inequalities; Dual time scale; Dynamic user equilibrium; Fixed point algorithm in Hilbert space

Indexed keywords

ALGEBRA; CONTINUOUS TIME SYSTEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; TIME MEASUREMENT; VARIATIONAL TECHNIQUES;

EID: 78149499548     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2010.05.003     Document Type: Article
Times cited : (87)

References (53)
  • 2
    • 0029733256 scopus 로고
    • Flow propagation description in dynamic network loading models. In: Stephanedes, Y.J., Filippi, F. (Eds), Proceedings of IV International Conference of Applications of Advanced Technology in Transportation (AATT),
    • Astarita, V., 1995. Flow propagation description in dynamic network loading models. In: Stephanedes, Y.J., Filippi, F. (Eds), Proceedings of IV International Conference of Applications of Advanced Technology in Transportation (AATT), pp. 599-603.
    • (1995) , pp. 599-603
    • Astarita, V.1
  • 3
    • 49049121397 scopus 로고    scopus 로고
    • A link-node complementarity model and solution algorithm for dynamic user equilibria with exact flow propagations
    • Ban X., Liu H., Ferris M., Ran B. A link-node complementarity model and solution algorithm for dynamic user equilibria with exact flow propagations. Transportation Research Part B 2008, 42(9):823-842.
    • (2008) Transportation Research Part B , vol.42 , Issue.9 , pp. 823-842
    • Ban, X.1    Liu, H.2    Ferris, M.3    Ran, B.4
  • 4
    • 0030586523 scopus 로고    scopus 로고
    • The approximation of fixed-points of compositions of nonexpansive mappings in hilbert space
    • Bauschke H. The approximation of fixed-points of compositions of nonexpansive mappings in hilbert space. Journal of Mathematical Analysis and Applications 1996, 202(1):150-159.
    • (1996) Journal of Mathematical Analysis and Applications , vol.202 , Issue.1 , pp. 150-159
    • Bauschke, H.1
  • 5
    • 0038743105 scopus 로고    scopus 로고
    • Quasi-variational inequality formulation of the multiclass dynamic traffic assignment problem
    • Bliemer M., Bovy P. Quasi-variational inequality formulation of the multiclass dynamic traffic assignment problem. Transportation Research Part B 2003, 37(6):501-519.
    • (2003) Transportation Research Part B , vol.37 , Issue.6 , pp. 501-519
    • Bliemer, M.1    Bovy, P.2
  • 6
    • 0003259286 scopus 로고    scopus 로고
    • Numerical solution of initial-value problems in differential algebraic equations
    • SIAM Publications, Philadelphia
    • Brenan K., Campbell S., Petzold L. Numerical solution of initial-value problems in differential algebraic equations. Classics in Applied Mathematics 1996, vol. 14. SIAM Publications, Philadelphia.
    • (1996) Classics in Applied Mathematics , vol.14
    • Brenan, K.1    Campbell, S.2    Petzold, L.3
  • 7
    • 0022660845 scopus 로고
    • A constraint qualification for a dynamic traffic assignment problem
    • Carey M. A constraint qualification for a dynamic traffic assignment problem. Transportation Science 1986, 20(1):55-58.
    • (1986) Transportation Science , vol.20 , Issue.1 , pp. 55-58
    • Carey, M.1
  • 8
    • 0023207979 scopus 로고
    • Optimal time-varying flows on congested networks
    • Carey M. Optimal time-varying flows on congested networks. Operations Research 1987, 35(1):58-69.
    • (1987) Operations Research , vol.35 , Issue.1 , pp. 58-69
    • Carey, M.1
  • 9
    • 0000945192 scopus 로고
    • Nonconvexity of the dynamic traffic assignment problem
    • Carey M. Nonconvexity of the dynamic traffic assignment problem. Transportation Research Part B 1992, 26(2):127-132.
    • (1992) Transportation Research Part B , vol.26 , Issue.2 , pp. 127-132
    • Carey, M.1
  • 10
    • 78149499095 scopus 로고
    • Dynamic congestion pricing and the price of FIFO
    • Springer-Verlag, New York, N.H. Gartner, G. Improta (Eds.)
    • Carey M. Dynamic congestion pricing and the price of FIFO. Urban Traffic Networks 1995, 335-350. Springer-Verlag, New York. N.H. Gartner, G. Improta (Eds.).
    • (1995) Urban Traffic Networks , pp. 335-350
    • Carey, M.1
  • 11
    • 17244363628 scopus 로고    scopus 로고
    • Link travel times, I: desirable properties
    • Carey M. Link travel times, I: desirable properties. Networks and Spatial Economics 2004, 4(3):257-268.
    • (2004) Networks and Spatial Economics , vol.4 , Issue.3 , pp. 257-268
    • Carey, M.1
  • 12
    • 17244362228 scopus 로고    scopus 로고
    • Link travel times, II: properties derived from traffic-flow models
    • Carey M. Link travel times, II: properties derived from traffic-flow models. Networks and Spatial Economics 2004, 4(4):379-402.
    • (2004) Networks and Spatial Economics , vol.4 , Issue.4 , pp. 379-402
    • Carey, M.1
  • 13
    • 1842812536 scopus 로고    scopus 로고
    • An exit-flow model used in dynamic traffic assignment
    • Carey M., McCartney M. An exit-flow model used in dynamic traffic assignment. Computers and Operations Research 2004, 31(10):1583-1602.
    • (2004) Computers and Operations Research , vol.31 , Issue.10 , pp. 1583-1602
    • Carey, M.1    McCartney, M.2
  • 14
    • 0028481056 scopus 로고
    • The cell transmission model. Part I: a simple dynamic representation of highway traffic
    • Daganzo C. The cell transmission model. Part I: a simple dynamic representation of highway traffic. Transportation Research Part B 1994, 28(4):269-287.
    • (1994) Transportation Research Part B , vol.28 , Issue.4 , pp. 269-287
    • Daganzo, C.1
  • 15
    • 0028803659 scopus 로고
    • The cell transmission model. Part II: network traffic
    • Daganzo C. The cell transmission model. Part II: network traffic. Transportation Research Part B 1995, 29(2):79-93.
    • (1995) Transportation Research Part B , vol.29 , Issue.2 , pp. 79-93
    • Daganzo, C.1
  • 16
    • 0035533078 scopus 로고    scopus 로고
    • Pseudomonotone variational inequalities: convergence of proximal methods
    • Farouq N.E. Pseudomonotone variational inequalities: convergence of proximal methods. Journal of Optimization Theory and Applications 2001, 109(2):311-326.
    • (2001) Journal of Optimization Theory and Applications , vol.109 , Issue.2 , pp. 311-326
    • Farouq, N.E.1
  • 18
    • 0013229103 scopus 로고    scopus 로고
    • Dynamic network user equilibrium with state-dependent time lags
    • Friesz T., Bernstein D., Suo Z., Tobin R. Dynamic network user equilibrium with state-dependent time lags. Networks and Spatial Economics 2001, 1(3/4):319-347.
    • (2001) Networks and Spatial Economics , vol.1 , Issue.3-4 , pp. 319-347
    • Friesz, T.1    Bernstein, D.2    Suo, Z.3    Tobin, R.4
  • 19
    • 0024772092 scopus 로고
    • Dynamic network traffic assignment considered as a continuous-time optimal control problem
    • Friesz T., Luque J., Tobin R., Wie B. Dynamic network traffic assignment considered as a continuous-time optimal control problem. Operations Research 1989, 37(6):893-901.
    • (1989) Operations Research , vol.37 , Issue.6 , pp. 893-901
    • Friesz, T.1    Luque, J.2    Tobin, R.3    Wie, B.4
  • 20
    • 28844505600 scopus 로고    scopus 로고
    • Solving the dynamic network user equilibrium problem with state-dependent time shifts
    • Friesz T., Mookherjee R. Solving the dynamic network user equilibrium problem with state-dependent time shifts. Transportation Research Part B 2006, 40(3):207-229.
    • (2006) Transportation Research Part B , vol.40 , Issue.3 , pp. 207-229
    • Friesz, T.1    Mookherjee, R.2
  • 21
    • 0027149988 scopus 로고
    • A variational inequality formulation of the dynamic network user equilibrium problem
    • Friesz T.L., Bernstein D., Smith T., Tobin R., Wie B. A variational inequality formulation of the dynamic network user equilibrium problem. Operations Research 1993, 41(1):80-91.
    • (1993) Operations Research , vol.41 , Issue.1 , pp. 80-91
    • Friesz, T.L.1    Bernstein, D.2    Smith, T.3    Tobin, R.4    Wie, B.5
  • 24
    • 0036497683 scopus 로고    scopus 로고
    • Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues
    • Huang H., Lam W. Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues. Transportation Research Part B 2002, 36(3):253-273.
    • (2002) Transportation Research Part B , vol.36 , Issue.3 , pp. 253-273
    • Huang, H.1    Lam, W.2
  • 25
    • 0034784283 scopus 로고    scopus 로고
    • Second-order fluid dynamics models for travel times in dynamic transportation networks. In: Proceedings of the 4th International IEEE Conference on Intelligent Transportation Systems, Oakland, CA.
    • Kachani, S., Perakis, G., 2001. Second-order fluid dynamics models for travel times in dynamic transportation networks. In: Proceedings of the 4th International IEEE Conference on Intelligent Transportation Systems, Oakland, CA.
    • (2001)
    • Kachani, S.1    Perakis, G.2
  • 26
    • 78149499280 scopus 로고    scopus 로고
    • Fluid dynamics models and their application in transportation and pricing. Technical Report, Sloan School of Management, MIT.
    • Kachani, S., Perakis, G., 2002. Fluid dynamics models and their application in transportation and pricing. Technical Report, Sloan School of Management, MIT.
    • (2002)
    • Kachani, S.1    Perakis, G.2
  • 27
  • 28
    • 0034333578 scopus 로고    scopus 로고
    • A reactive dynamic user equilibrium model in network with queues
    • Li J., Fujiwara O., Kawakami S. A reactive dynamic user equilibrium model in network with queues. Transportation Research Part B 2000, 34(8):605-624.
    • (2000) Transportation Research Part B , vol.34 , Issue.8 , pp. 605-624
    • Li, J.1    Fujiwara, O.2    Kawakami, S.3
  • 30
    • 0036604989 scopus 로고    scopus 로고
    • A cell-based variational inequality formulation of the dynamic user optimal assignment problem
    • Lo H., Szeto W. A cell-based variational inequality formulation of the dynamic user optimal assignment problem. Transportation Research Part B 2002, 36(5):421-443.
    • (2002) Transportation Research Part B , vol.36 , Issue.5 , pp. 421-443
    • Lo, H.1    Szeto, W.2
  • 31
    • 0018002683 scopus 로고
    • A model and an algorithm for the dynamic traffic assignment problems
    • Merchant D., Nemhauser G. A model and an algorithm for the dynamic traffic assignment problems. Transportation Science 1978, 12(3):183-199.
    • (1978) Transportation Science , vol.12 , Issue.3 , pp. 183-199
    • Merchant, D.1    Nemhauser, G.2
  • 32
    • 0018002555 scopus 로고
    • Optimality conditions for a dynamic traffic assignment model
    • Merchant D., Nemhauser G. Optimality conditions for a dynamic traffic assignment model. Transportation Science 1978, 12(3):200-207.
    • (1978) Transportation Science , vol.12 , Issue.3 , pp. 200-207
    • Merchant, D.1    Nemhauser, G.2
  • 33
    • 71549120679 scopus 로고    scopus 로고
    • Equilibrium analysis of macroscopic traffic oscillations
    • Nie Y. Equilibrium analysis of macroscopic traffic oscillations. Transportation Research Part B 2010, 44(1):62-72.
    • (2010) Transportation Research Part B , vol.44 , Issue.1 , pp. 62-72
    • Nie, Y.1
  • 34
    • 44649156373 scopus 로고    scopus 로고
    • A variational inequality formulation for inferring dynamic origin-destination travel demands
    • Nie Y., Zhang H. A variational inequality formulation for inferring dynamic origin-destination travel demands. Transportation Research Part B 2008, 42(7-8):635-662.
    • (2008) Transportation Research Part B , vol.42 , Issue.7-8 , pp. 635-662
    • Nie, Y.1    Zhang, H.2
  • 35
    • 62849100481 scopus 로고    scopus 로고
    • Oscillatory traffic flow patterns induced by queue spillback in a simple road network
    • Nie Y., Zhang H.M. Oscillatory traffic flow patterns induced by queue spillback in a simple road network. Transportation Science 2008, 44(2):236-248.
    • (2008) Transportation Science , vol.44 , Issue.2 , pp. 236-248
    • Nie, Y.1    Zhang, H.M.2
  • 36
    • 77149171785 scopus 로고    scopus 로고
    • Solving the dynamic user optimal assignment problem considering queue spillback
    • Nie Y., Zhang H.M. Solving the dynamic user optimal assignment problem considering queue spillback. Networks and Spatial Economics 2010, 10(2):1-23.
    • (2010) Networks and Spatial Economics , vol.10 , Issue.2 , pp. 1-23
    • Nie, Y.1    Zhang, H.M.2
  • 37
    • 38849089467 scopus 로고    scopus 로고
    • Differential variational inequalities
    • Pang J.-S., Stewart D. Differential variational inequalities. Mathematical Programming 2008, 113(2):345-424.
    • (2008) Mathematical Programming , vol.113 , Issue.2 , pp. 345-424
    • Pang, J.-S.1    Stewart, D.2
  • 39
    • 0000230403 scopus 로고    scopus 로고
    • Foundations of dynamic traffic assignment: the past, the present and the future
    • Peeta S., Ziliaskopoulos A. Foundations of dynamic traffic assignment: the past, the present and the future. Networks and Spatial Economics 2001, 1(3):233-265.
    • (2001) Networks and Spatial Economics , vol.1 , Issue.3 , pp. 233-265
    • Peeta, S.1    Ziliaskopoulos, A.2
  • 40
    • 33847034400 scopus 로고    scopus 로고
    • An analytical model for traffic delays and the dynamic user equilibrium problem
    • Perakis G., Roels G. An analytical model for traffic delays and the dynamic user equilibrium problem. Operations Research 2006, 54(6):1151-1171.
    • (2006) Operations Research , vol.54 , Issue.6 , pp. 1151-1171
    • Perakis, G.1    Roels, G.2
  • 42
    • 0027226451 scopus 로고
    • A new class of instantaneous dynamic user optimal traffic assignment models
    • Ran B., Boyce D., LeBlanc L. A new class of instantaneous dynamic user optimal traffic assignment models. Operations Research 1993, 41(1):192-202.
    • (1993) Operations Research , vol.41 , Issue.1 , pp. 192-202
    • Ran, B.1    Boyce, D.2    LeBlanc, L.3
  • 43
    • 0002842180 scopus 로고
    • Shock waves on the highway
    • Richards P.I. Shock waves on the highway. Operations Research 1956, 4(1):42-51.
    • (1956) Operations Research , vol.4 , Issue.1 , pp. 42-51
    • Richards, P.I.1
  • 45
    • 2542430483 scopus 로고    scopus 로고
    • A cell-based simultaneous route and departure time choice model with elastic demand
    • Szeto W., Lo H. A cell-based simultaneous route and departure time choice model with elastic demand. Transportation Research Part B 2004, 38(7):593-612.
    • (2004) Transportation Research Part B , vol.38 , Issue.7 , pp. 593-612
    • Szeto, W.1    Lo, H.2
  • 46
    • 0034333576 scopus 로고    scopus 로고
    • A predictive dynamic traffic assignment model in congested capacity-constrained road networks
    • Tong C., Wong S. A predictive dynamic traffic assignment model in congested capacity-constrained road networks. Transportation Research Part B 2000, 34(8):625-644.
    • (2000) Transportation Research Part B , vol.34 , Issue.8 , pp. 625-644
    • Tong, C.1    Wong, S.2
  • 48
    • 0002631570 scopus 로고
    • A discrete-time, nested cost operator approach to the dynamic network user equilibrium problem
    • Wie B., Tobin R., Friesz T., Bernstein D. A discrete-time, nested cost operator approach to the dynamic network user equilibrium problem. Transportation Science 1995, 29(1):79-92.
    • (1995) Transportation Science , vol.29 , Issue.1 , pp. 79-92
    • Wie, B.1    Tobin, R.2    Friesz, T.3    Bernstein, D.4
  • 49
    • 0031594067 scopus 로고    scopus 로고
    • The continuous dynamic network loading problem: a mathematical formulation and solution method
    • Wu J., Chen Y., Florian M. The continuous dynamic network loading problem: a mathematical formulation and solution method. Transportation Research Part B 1998, 32(3):173-187.
    • (1998) Transportation Research Part B , vol.32 , Issue.3 , pp. 173-187
    • Wu, J.1    Chen, Y.2    Florian, M.3
  • 50
    • 0036692463 scopus 로고    scopus 로고
    • Iterative algorithms for nonlinear operators
    • Xu H.-K. Iterative algorithms for nonlinear operators. Journal of the London Mathematical Society 2003, 66(1):240-256.
    • (2003) Journal of the London Mathematical Society , vol.66 , Issue.1 , pp. 240-256
    • Xu, H.-K.1
  • 51
    • 0033225939 scopus 로고    scopus 로고
    • Advances in the continuous dynamic network loading problem
    • Xu Y., Wu J., Florian M., Marcotte P., Zhu D. Advances in the continuous dynamic network loading problem. Transportation Science 1999, 33(4):341-353.
    • (1999) Transportation Science , vol.33 , Issue.4 , pp. 341-353
    • Xu, Y.1    Wu, J.2    Florian, M.3    Marcotte, P.4    Zhu, D.5
  • 52
    • 85029892966 scopus 로고    scopus 로고
    • Modelling network flow with and without link interactions: properties and implications. In: 84th Annual Meeting of the Transportation Research Board, Washington,
    • Zhang, H.M., Nie, Y., 2005. Modelling network flow with and without link interactions: properties and implications. In: 84th Annual Meeting of the Transportation Research Board, Washington, p. 21.
    • (2005) , pp. 21
    • Zhang, H.M.1    Nie, Y.2
  • 53
    • 0034314162 scopus 로고    scopus 로고
    • On the existence of solutions to the dynamic user equilibrium problem
    • Zhu D.L., Marcotte P. On the existence of solutions to the dynamic user equilibrium problem. Transportation Science 2000, 34(4):402-414.
    • (2000) Transportation Science , vol.34 , Issue.4 , pp. 402-414
    • Zhu, D.L.1    Marcotte, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.