THE TRAFFIC EQUILIBRIUM PROBLEM WITH NONADDITIVE PATH COSTS

Citation
Sa. Gabriel et D. Bernstein, THE TRAFFIC EQUILIBRIUM PROBLEM WITH NONADDITIVE PATH COSTS, Transportation science, 31(4), 1997, pp. 337-348
Citations number
33
Journal title
ISSN journal
00411655
Volume
31
Issue
4
Year of publication
1997
Pages
337 - 348
Database
ISI
SICI code
0041-1655(1997)31:4<337:TTEPWN>2.0.ZU;2-2
Abstract
In this paper we present a version of the (static) traffic equilibrium problem in which the cost incurred on each path is not simply the sum of the costs on the arcs that constitute that path. We motivate this nonadditive version of the problem by describing several situations in which the classic additivity assumption fails. We describe existence and uniqueness conditions for this problem, and toe also present conve rgence theory for a generic algorithm for solving nonadditive problems .