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Stochastic Equilibrium Traffic Assignment with Value‐of‐time Distributed Among Users
Author(s) -
Cantarella G.E.,
Binetti M.
Publication year - 1998
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/j.1475-3995.1998.tb00136.x
Subject(s) - uniqueness , mathematical optimization , computer science , convergence (economics) , simple (philosophy) , value (mathematics) , expected value , path (computing) , value of time , traffic flow (computer networking) , point (geometry) , time value of money , flow network , mathematical economics , travel time , operations research , mathematics , economics , statistics , computer network , mathematical analysis , philosophy , geometry , epistemology , finance , machine learning , transport engineering , engineering , economic growth
In this paper, existing fixed‐point models for stochastic equilibrium traffic assignment to transportation networks are extended to deal with the value of time distributed among users. This problem is relevant when transporation demand management measures affecting travelling monetary costs are to be evaluated. Analysis of existence and uniqueness of solutions is carried out, leading to mild assumptions about link cost‐flow functions, path choice model, and value‐of‐time distribution. Some quite simple solution algorithms are also specified and their convergence analysed. Results of some applications are also reported.