Construction of a real-world bilevel linear programming model of the highway network design problem |
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| Authors: | Omar Ben-Ayed Charles E Blair David E Boyce Larry J LeBlanc |
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| Institution: | (1) Faculté des Sciences Economiques et de Gestion de Tunis, Université de Tunis III, Tunis, Tunisia;(2) Department of Business Administration, University of Illinois at Urbana-Champaign, 467 Commerce West, 61820 Champaign, IL, USA;(3) Urban Transportation Center, University of Illinois at Chicago, Suite 700 South, 1033 West Van Buren Street, 60607-9940 Chicago, IL, USA;(4) Owen Graduate School of Management, Vanderbilt University, 401 21st Avenue South, 37203 Nashville, TN, USA |
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| Abstract: | The formulation of the highway network design problem (NDP) as a bilevel linear program (BLP) allows more realistic solutions taking into account the reaction of users to improvements made by the system. In this paper, a conceptual framework for the optimization of investments in inter-regional highway networks in developing countries is proposed. The model is applied to the Tunisian network using actual data. Considerable effort was expended to make the implementation as realistic as possible, taking into consideration travel times, operating costs, accident costs, improvement costs, conservation laws, and effects of intra-regional flows. A new formulation allowing the incorporation of any improvement cost functions, including non-convex and non-concave functions, is introduced. |
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