Abstract

Solving uncapacitated multiple allocation p-hub center problem by Dijkstra’s algorithm-based genetic algorithm and simulated annealing

Highlights

  • In some networks, for example, telecommunication or transportations systems, there exist many nodes whose flows should depart from one origin node and arrive in a destination node

  • Having the information obtained from running Dijkstra’s algorithm once for each node, one can minimize the maximum length between any origin/destination nodes which is exactly equivalent with solving an uncapacitated multiple allocation p-hub center problem (UMApHCP)

  • The first set of test problem instances belong to Civil Aeronautics Board (CAB) data set based on airline passenger flow between cities of the United States

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Summary

Introduction

For example, telecommunication or transportations systems, there exist many nodes whose flows should depart from one origin node and arrive in a destination node. There are two basic types of hub networks: single allocation and multiple allocations. Their difference is in the way of allocating non-hub nodes to hub centers. According to Alumur and Kara (2008) “In single allocation, all the incoming and outgoing traffic of every demand center is routed through a single hub; in multiple allocation, each demand center can receive and send flow through more than one hub.”.

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