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Two-stage stochastic bilevel programming over a transportation network

S.M. Alizadeh, P. Marcotte and G. Savard

Transportation Research Part B: Methodological, 2013, vol. 58, issue C, 92-105

Abstract: We consider a two-stage stochastic extension of the bilevel pricing model introduced by Labbé et al. (1998). In the first stage, the leader sets tariffs on a subset of arcs of a transportation network, with the aim of maximizing profits while, at the lower level, flows are assigned to cheapest paths of a multicommodity transportation network. In the second stage, the situation repeats itself under the constraint that tariffs should not differ too widely from those set at the first stage, a condition that frequently arises in practice. We analyze properties of the model, provide numerical illustrations, and open avenues for further research into this area.

Keywords: Revenue management; Pricing; Bilevel programming; Stochastic programming (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (6)

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DOI: 10.1016/j.trb.2013.10.002

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