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On the Quadratic Programming Approach for Hub Location Problems

In: Optimization and Logistics Challenges in the Enterprise

Author

Listed:
  • Xiaozheng He

    (University of Minnesota)

  • Anthony Chen

    (Utah State University)

  • Wanpracha Art Chaovalitwongse

    (Rutgers University)

  • Henry Liu

    (University of Minnesota)

Abstract

Summary Hub networks play an important role in many real-life network systems such as transportation and telecommunication networks. Hub location problem is concerned with identifying appropriate hub locations in a network and connecting an efficient hub-and-spoke network that minimizes the flow-weighted costs across the network. This chapter is focused on the uncapacitated single allocation p-hub median problem (USApHMP), which arises in many real-world hub networks of logistics operations. There have been many approaches used to solve this problem. We herein focus on a quadratic programming approach, which has been proven very effective and efficient. This approach incorporates the use of the linearization for 0-1 quadratic program. In this chapter, we give a brief review of the linearization techniques for 0-1 quadratic programs and compare the performance of several existing linearization techniques for USApHMP. Toward the end, we discuss some properties, comments and possible developments of these linearization techniques in the real-life USApHMP.

Suggested Citation

  • Xiaozheng He & Anthony Chen & Wanpracha Art Chaovalitwongse & Henry Liu, 2009. "On the Quadratic Programming Approach for Hub Location Problems," Springer Optimization and Its Applications, in: Wanpracha Chaovalitwongse & Kevin C. Furman & Panos M. Pardalos (ed.), Optimization and Logistics Challenges in the Enterprise, pages 211-228, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-88617-6_7
    DOI: 10.1007/978-0-387-88617-6_7
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