Branch-and-bound parallelization strategies applied to a depot location and container fleet management problem

This paper presents branch-and-bound parallelization strategies applied to the location/ allocation problem with balancing requirements. This formulation is representative of a larger class of discrete network design and location problems arising in many transportation logistics and telecommunications applications: it displays a multicommodity network ̄ow structure and a complex objective function comprising ®xed and variable ̄ow costs. As for many problems of this class, the bounding procedure embedded in the branch-and-bound algorithm is complex and time-consuming. The parallelization strategies that we describe are designed to exploit this feature. Parallelism is obtained by dividing the search tree among processors and performing operations on several subproblems simultaneously. The strategies di€er in the way they manage the list of subproblems and control the search. We report and analyze experimental results, on a distributed network of workstations, which aim to compare di€erent implementations of these strategies. Ó 2000 Elsevier Science B.V. All rights reserved.