Global optimization method for network design problem with stochastic user equilibrium

Haoxiang Liu and David Z.W. Wang

Transportation Research Part B: Methodological, 2015, vol. 72, issue C, 20-39

Abstract: In this paper, we consider the continuous road network design problem with stochastic user equilibrium constraint that aims to optimize the network performance via road capacity expansion. The network flow pattern is subject to stochastic user equilibrium, specifically, the logit route choice model. The resulting formulation, a nonlinear nonconvex programming problem, is firstly transformed into a nonlinear program with only logarithmic functions as nonlinear terms, for which a tight linear programming relaxation is derived by using an outer-approximation technique. The linear programming relaxation is then embedded within a global optimization solution algorithm based on range reduction technique, and the proposed approach is proved to converge to a global optimum.

Keywords: Network design problem; Stochastic user equilibrium; Mixed-integer linear programming; Global optimization; Range reduction technique (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (35)

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DOI: 10.1016/j.trb.2014.10.009

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