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Volumn 43, Issue 5, 2011, Pages 2384-2417

Optima and equilibria for a model of traffic flow

Author keywords

Conservation law; Nash equilibrium; Traffic flow

Indexed keywords

ARRIVAL TIME; CONSERVATION LAW; COST FUNCTIONALS; DEPARTURE TIME; EQUILIBRIUM SOLUTIONS; NASH EQUILIBRIUM; NASH SOLUTIONS; OPTIMAL SOLUTIONS; SCALAR CONSERVATION LAWS; TOLL PRICING; TOTAL COSTS; TRAFFIC FLOW;

EID: 81255169947     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/110825145     Document Type: Article
Times cited : (27)

References (19)
  • 1
    • 0003906580 scopus 로고    scopus 로고
    • The One Dimensional Cauchy Problem, Oxford University Press, Oxford, UK
    • A. Bressan, Hyperbolic Systems of Conservation Laws. The One Dimensional Cauchy Problem, Oxford University Press, Oxford, UK, 2000.
    • (2000) Hyperbolic Systems of Conservation Laws
    • Bressan, A.1
  • 2
    • 81955161122 scopus 로고    scopus 로고
    • Noncooperative differential games
    • to appear
    • A. Bressan, Noncooperative differential games, Milan J. Math., to appear.
    • Milan J. Math.
    • Bressan, A.1
  • 3
    • 3042891851 scopus 로고
    • A maximum principle for optimally controlled systems of conservation laws
    • A. Bressan and A. Marson, A maximum principle for optimally controlled systems of conservation laws, Rend. Sem. Mat. Univ. Padova., 94 (1995), pp. 79-94.
    • (1995) Rend. Sem. Mat. Univ. Padova. , vol.94 , pp. 79-94
    • Bressan, A.1    Marson, A.2
  • 4
    • 79960933460 scopus 로고    scopus 로고
    • Optimality conditions for solutions to hyperbolic balance laws
    • F. Ancona, I. Lasieka, W. Littman, and R. Triggiani, eds., Contemp. Math. 426, AMS,Providence, RI
    • A. Bressan and W. Shen, Optimality conditions for solutions to hyperbolic balance laws, in Control Methods in PDE-Dynamical Systems, F. Ancona, I. Lasieka, W. Littman, and R. Triggiani, eds., Contemp. Math. 426, AMS, 2007, Providence, RI, pp. 129-152.
    • (2007) Control Methods in PDE-Dynamical Systems , pp. 129-152
    • Bressan, A.1    Shen, W.2
  • 5
    • 79953153798 scopus 로고    scopus 로고
    • Optimum and equilibrium in a transport problem with queue penalization effect
    • G. Crippa, C. Jimenez, and A. Pratelli, Optimum and equilibrium in a transport problem with queue penalization effect, Adv. Calc. Var., 2 (2009), pp. 207-246.
    • (2009) Adv. Calc. Var. , vol.2 , pp. 207-246
    • Crippa, G.1    Jimenez, C.2    Pratelli, A.3
  • 9
    • 33750897181 scopus 로고    scopus 로고
    • Combinatorial and continuous models for the optimization of traffic flows on networks
    • DOI 10.1137/040605503
    • T. L. Friesz, T. Kim, C. Kwon, and M. A. Rigdon, Approximate network loading and dual-time-scale dynamic user equilibrium, Transportation Res. Part B Methodological, 45 (2010), pp. 176-207. [9] A. Fügenschuh, M. Herty, A. Klar, and A. Martin, Combinatorial and continuous models for the optimization of traffic flows on networks, SIAM J. Optim., 16 (2006), pp. 1155-1176. (Pubitemid 44729416)
    • (2006) SIAM Journal on Optimization , vol.16 , Issue.4 , pp. 1155-1176
    • Fugenschuh, A.1    Herty, M.2    Klar, A.3    Martin, A.4
  • 10
    • 39749094834 scopus 로고    scopus 로고
    • Traffic flow on networks. Conservation laws models
    • American Institute of Mathematical Sciences, Springfield, MO
    • M. Garavello and B. Piccoli, Traffic Flow on Networks. Conservation Laws Models, AIMS Ser. Appl. Math., American Institute of Mathematical Sciences, Springfield, MO, 2006.
    • (2006) AIMS Ser. Appl. Math.
    • Garavello, M.1    Piccoli, B.2
  • 13
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws II
    • P. D. Lax, Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math., 10 (1957), pp. 537-566.
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 537-566
    • Lax, P.D.1
  • 14
    • 84988147318 scopus 로고
    • Explicit formula for scalar non-linear conservation laws with boundary condition
    • P. Le Floch, Explicit formula for scalar non-linear conservation laws with boundary condition, Math. Models Appl. Sci., 10 (1988), pp. 265-287.
    • (1988) Math. Models Appl. Sci. , vol.10 , pp. 265-287
    • Le Floch, P.1
  • 15
  • 16
    • 0002842180 scopus 로고
    • Shock waves on the highway
    • P. I. Richards, Shock waves on the highway, Oper. Res., 4 (1956), pp. 42-51.
    • (1956) Oper. Res. , vol.4 , pp. 42-51
    • Richards, P.I.1
  • 18
    • 0000483776 scopus 로고    scopus 로고
    • A sensitivity and adjoint calculus for discontinuous solutions of hyperbolic conservation laws with source terms
    • S. Ulbrich, A sensitivity and adjoint calculus for discontinuous solutions of hyperbolic conservation laws with source terms, SIAM J. Control Optim., 41 (2002), pp. 740-797.
    • (2002) SIAM J. Control Optim. , vol.41 , pp. 740-797
    • Ulbrich, S.1
  • 19
    • 0037445051 scopus 로고    scopus 로고
    • Adjoint-based derivative computations for the optimal control of discontinuous solutions of hyperbolic conservation laws
    • S. Ulbrich, Adjoint-based derivative computations for the optimal control of discontinuous solutions of hyperbolic conservation laws, Systems Control Lett., 48 (2003), pp. 313-328.
    • (2003) Systems Control Lett. , vol.48 , pp. 313-328
    • Ulbrich, S.1


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