Abstract

A highly efficient exact algorithm for the uncapacitated multiple allocation p-hub center problem

Highlights

  • This paper addresses the problem of uncapacitated multiple allocation p-hub center problem (UMApHCP) which is fundamental in proper functioning of time-sensitive transportation systems

  • Since the UMApHCP belongs to the class of NP-hard problems, proposing an exact solution algorithm which is able to solve large-scale instances of the problem in order of seconds is of utmost theoretical and practical importance

  • We considered the uncapacitated multiple allocation p-hub center problem (UMApHCP) and formulated the problem as linear mixed integer programming model

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Summary

Introduction

Hubs are key facilities that act as intermediate centers for switching, sorting, and consolidating the commodities in many-to-many transportation systems and telecommunication networks. Reducing cost is the primary concern in many practical problems in transportation, postal services, and telecommunication industries, it sometimes leads to unsatisfactory solutions in terms of service equitability as the distance between the O/D pairs might be excessively large in the worst case This is an undesirable outcome when we deal with the delivery of perishable or time-sensitive items or when the aim is to provide a socially equitable service for different O/D traffic which is essential for a sustainable transportation system. To remedy this drawback, one option is to use hub center problem in order to minimize the maximum distance (or cost) between the O/D pairs.

Background
Mathematical formulations
Benders reformulation
The subproblem and the master problem
Solving the dual subproblem
Test problems
Numerical results
Conclusions
Full Text
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