The Dynamic Uncapacitated Hub Location Problem

Ivan Contreras (), Jean-François Cordeau () and Gilbert Laporte ()
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Ivan Contreras: HEC Montréal, Montréal, Québec H3T 2A7, Canada, and Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Montréal, Quebec H3T 2A7, Canada
Jean-François Cordeau: HEC Montréal, Montréal, Québec H3T 2A7, Canada, and Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Montréal, Quebec H3T 2A7, Canada
Gilbert Laporte: HEC Montréal, Montréal, Québec H3T 2A7, Canada, and Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Montréal, Quebec H3T 2A7, Canada

Transportation Science, 2011, vol. 45, issue 1, 18-32

Abstract: This paper presents a dynamic (or multi-period) hub location problem . It proposes a branch-and-bound algorithm that uses a Lagrangian relaxation to obtain lower and upper bounds at the nodes of the tree. The Lagrangian function exploits the structure of the problem and can be decomposed into smaller subproblems that can be solved efficiently. In addition, some reduction procedures based on the Lagrangian bounds are implemented. These yield a considerable reduction of the size of the problem and thus help reduce the computational burden. Numerical results on a set of instances with up to 100 nodes and 10 time periods are reported.

Keywords: dynamic hub location; Lagrangian relaxation; branch-and-bound (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (29)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:45:y:2011:i:1:p:18-32

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