A Numerical Study of the Logit Network Pricing Problem

François Gilbert (), Patrice Marcotte () and Gilles Savard ()
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François Gilbert: Département de mathématique et de génie industriel, Polytechnique Montréal, Montréal, Québec H3T 1J4, Canada
Patrice Marcotte: Département d’informatique et de recherche opérationnelle, Université de Montréal, Montréal, Québec H3C 3J7, Canada
Gilles Savard: Département de mathématique et de génie industriel, Polytechnique Montréal, Montréal, Québec H3T 1J4, Canada

Transportation Science, 2015, vol. 49, issue 3, 706-719

Abstract: In this paper, we address the numerical solution of a pricing problem where users are assigned according to a logit model onto the paths of a transportation network. Although this highly nonconvex problem admits a large number of local optima, we show that it is possible to devise strategies that allow us to find near-optimal solutions through a mixture of customized approximations and local ascent techniques.

Keywords: network pricing; discrete choice; logit; trust region; global optimization (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:49:y:2015:i:3:p:706-719

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