Infinite time-dependent network equilibria with a multivalued cost function

被引：1
|
作者：
Rouhani, B. Djafari [1 ]
Kakavandi, B. Ahmadi
机构：
[1] Univ Texas, Dept Math Sci, El Paso, TX 79968 USA
[2] Tarbiat Modares Univ, Dept Math, Tehran, Iran
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2006年 / 131卷 / 03期
关键词：
variational inequalities; transportation networks; pseudomonotone and u-hemicontinuous operators; multivalued cost functions; gap functions;
D O I：
10.1007/s10957-006-9159-8
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we consider the dynamic traffic network equilibria with possibly an infinite number of routes, a possibly multivalued cost function, and a not necessarily reflexive Banach space of flow trajectories. We investigate the existence of equilibria under a monotonicity assumption on the cost function, as well as an equivalent condition for equilibria under additional constraints. Finally, we give an iterative method for the computation of equilibria. Our results generalize and extend previous results in Refs. 1-2.
引用
收藏
页码：405 / 415
页数：11
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