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Bureau of Public Roads (1964). Traffic Assignment Manual. U.S. Dept. of Commerce, Urban Planning Division, Washington D.C.
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Spiess H. (1984). Contributions à la théorie et aux outils de planification de réseaux de transport urbain. Ph.D. thesis, Département d'informatique et de recherche opérationnelle, Centre de recherche sur les transports, Université de Montréal, Publication 382.
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This paper (without the following appendices) also appeared in Transportation Science, Vol 24., No. 2, 1990.
Appendix 1: Marginal Cost Functions
(Added August 1997)
When performing system optimum assignments according to Wardrop's first principle, it is necessary to compute the corresponding marginal cost functions. For a given volume-delay function t(v) the corresponding marginal cost function is defined as
The marginal cost includes on top of the cost perceived by the traveler himself t(v) also the increase in cost t'(v) his traveling causes to for all other v travelers on the same link.
For the BPR function
the m
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