TY - JOUR
T1 - Existence of time-dependent traffic equilibria
AU - Aussel, D.
AU - Cotrina, J.
PY - 2012/10/1
Y1 - 2012/10/1
N2 - Time-dependent traffic equilibrium problem gorverned by quasimonotone cost functions are studied. We prove, under weak regularity assumptions, the existence of Wardrop equilibrium flows. Those results extend previous ones of [P. Daniele, A. Maugeri, and W. Oettli, Time-dependent traffic equilibria, J. Optim. Theory Appl. 103(3) (1999), pp. 543-555] and [A. Nagurney, D. Parkes, and P. Daniele, The internet, evolutionary variational inequalities, and the time-dependent braess paradox, Comput. Manag. Sci. 4 (2007), pp. 355-375] in which pseudomonotonicity of the cost function was assumed. They are based on reformulation of the traffic network problem in terms of variational inequalities or quasivariational inequalities. Nonelastic and elastic cases are considered.
AB - Time-dependent traffic equilibrium problem gorverned by quasimonotone cost functions are studied. We prove, under weak regularity assumptions, the existence of Wardrop equilibrium flows. Those results extend previous ones of [P. Daniele, A. Maugeri, and W. Oettli, Time-dependent traffic equilibria, J. Optim. Theory Appl. 103(3) (1999), pp. 543-555] and [A. Nagurney, D. Parkes, and P. Daniele, The internet, evolutionary variational inequalities, and the time-dependent braess paradox, Comput. Manag. Sci. 4 (2007), pp. 355-375] in which pseudomonotonicity of the cost function was assumed. They are based on reformulation of the traffic network problem in terms of variational inequalities or quasivariational inequalities. Nonelastic and elastic cases are considered.
KW - elastic model
KW - existence of equilibrium
KW - quasimonotone cost function
KW - traffic network
KW - elastic model
KW - existence of equilibrium
KW - quasimonotone cost function
KW - traffic network
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U2 - 10.1080/00036811.2012.692364
DO - 10.1080/00036811.2012.692364
M3 - Article in a journal
SN - 0003-6811
VL - 91
SP - 1775
EP - 1791
JO - Applicable Analysis
JF - Applicable Analysis
IS - 10
ER -