an:05621876
Zbl 1172.90340
He, Xiaozheng; Chen, Anthony; Chaovalitwongse, Wanpracha Art; Liu, Henry
On the quadratic programming approach for hub location problems
EN
Chaovalitwongse, Wanpracha (ed.) et al., Optimization and logistics challenges in the enterprise. New York, NY: Springer (ISBN 978-0-387-88616-9/hbk; 978-0-387-88617-6/ebook). Springer Optimization and Its Applications 30, 211-228 (2009).
2009
a
90B10 90C20 90B85 90C35
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 (USA\(p\)HMP), 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 USA\(p\)HMP. Toward the end, we discuss some properties, comments and possible developments of these linearization techniques in the real-life USA\(p\)HMP.
For the entire collection see [Zbl 1173.90002].