Medium-Term Pricing and Operations Planning in Intermodal Transportation
Transportation Science
Bilevel optimization applied to strategic pricing in competitive electricity markets
Computational Optimization and Applications
Toll Policies for Mitigating Hazardous Materials Transport Risk
Transportation Science
Journal of Global Optimization
A Tabu search algorithm for the network pricing problem
Computers and Operations Research
An exact algorithm for the network pricing problem
Discrete Optimization
The Stackelberg minimum spanning tree game on planar and bounded-treewidth graphs
Journal of Combinatorial Optimization
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We consider a bilevel programming formulation of a freight tariff-setting problem where the leader consists in one among a group of competing carriers and the follower is a shipper. At the upper level, the leader's revenue corresponds to the total tariffs levied, whereas the shipper minimizes its transportation cost, given the tariff schedule set by the leader. We propose for this problem a class of heuristic procedures whose relative efficiencies, on small problem instances, could be validated with respect to optimal solutions obtained from a mixed integer reformulation of the mathematical model. We also present numerical results on large instances that could not be solved to optimality by an exact method.