A Specialized Column Generation Approach for a Vehicle Routing Problem with Demand Allocation
Department
Systems and Industrial Engineering
Document Type
Article
Publication Date
1-1-2013
Abstract
Motivated by logistical operations for a food bank, this paper addresses a class of vehicle routing problems with demand allocation considerations over a network of partner agencies locations and candidate delivery sites. Any delivery tour starts at a central depot operated by the food bank and selected delivery sites are sequentially visited in order to supply goods to a set of partner agencies who travel from their respective locations to their assigned delivery sites. The problem is modelled as a mixed-integer programme with the objective of minimizing a weighted average of the distances travelled by delivery vehicles and partner agencies, and is tackled via two heuristics. First, a relax-and-fix heuristic is presented for the proposed model and is computationally enhanced using two symmetry-defeating strategies. Second, the problem is reformulated as a set partitioning model with side packing constraints that prompts a specialized column generation approach. Computational experience is provided using realistic data instances to demonstrate the usefulness of the proposed heuristics and the importance of integrated solution techniques for this class of problems.
Journal Title
Journal of the Operational Research Society
Journal ISSN
1476-9360
Volume
64
First Page
114
Last Page
124
Digital Object Identifier (DOI)
10.1057/jors.2012.32