Integer programming model and exact solution for concentrator location problem

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Topological design of centralized computer networks is an important problem that has been investigated by many researchers. Such networks typically involve a large number of terminals connected to concentrators, that are then connected to a central computing site. This paper focuses on the concentrator location problem among general topological network design problems. The concentrator location problem is defined as determining the following: (i) the number and locations of concentrators that are to be open, and (ii) the allocation of terminals to concentrator sites without violating the capacities of concentrators. An exact algorithm (fractional cutting plane algorithm/branch-and-bound) is proposed for solving this problem. In this approach an integer programming problem is formulated. Then a class of valid inequalities is derived and a greedy algorithm for a separation problem is shown. A good lower bound is obtained by a lifting procedures. We show how to implement the algorithm using a commercial software for LP and branch-and-bound. Finally, the computational efficiency of our algorithm is demonstrated.

Original languageEnglish
Pages (from-to)291-305
Number of pages15
JournalJournal of the Operations Research Society of Japan
Volume43
Issue number2
Publication statusPublished - 2000 Jun
Externally publishedYes

Fingerprint

Integer programming
Location problem
Exact solution
Computer networks
Valid inequalities
Problem solving
Greedy algorithm
Branch-and-bound
Cutting planes
Network design
Lower bounds
Branch and bound algorithm
Software

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

Cite this

Integer programming model and exact solution for concentrator location problem. / Shiina, Takayuki.

In: Journal of the Operations Research Society of Japan, Vol. 43, No. 2, 06.2000, p. 291-305.

Research output: Contribution to journalArticle

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