EXPLOITATION OF COMERCIAL IP-SOLVER FOR LOCATION PROBLEM SOLVING

Authors

  • Jaroslav Janáček

Keywords:

Service system, location problem, covering model, and allocation model

Abstract

The service system design problem with an objective to minimize the cost of customer service can be often met in transportation systems. In general, these problems are modeled by means of integer linear programming. It usually follows that an exact algorithm needs too long computational time to find an optimal solution. In spite of it, there exists a class of location problems, so-called covering problems, which are solvable even by commercial software in a short time. In this contribution, we demonstrate the approach of reformulation the location problem to the covering one. At the end of this contribution, there is published a short numerical study, which contains a efficiency comparison between a commercial software and an exact method for this type of problem.

Downloads

Download data is not yet available.

References

ERLENKOTTER, D. A Dual-Based Procedure for Uncapacitated Facility Location.

Operations Research, Vol. 26, No 6, 1978, pp 992-1009.

JANÁČEK, J.: Safety on Roads from View of Emergency System Design. In:Journal of

Information, Control and Management Systems, Vol. 4, No 2/1, 2006, pp. 91-101.

JANÁČEK, J. Vliv způsobu zónování relevantních vzdáleností na kvalitu

aproximativního pokrývacího modelu. In. Sborník příspěvků „Úlohy diskrétní

optimalizace v dopravní praxi-Lokace středisek obsluhy s negativními vlivy na okolí“,

Univerzita Pardubice, Dopravní fakulta Jana Pernera, Pardubice 2008, v tisku.

JANÁČEK, J. Alokační a pokrývací modely návrhu veřejného obslužného systému. In.

Sborník příspěvků „Úlohy diskrétní optimalizace v dopravní praxi-Metody návrhu

veřejných obslužných systémů, Univerzita Pardubice, Dopravní fakulta Jana Pernera,

Pardubice 2008, pp 13-25.

JANÁČEK, J. Approximate Covering Models of Location Problems. In: Lecture Notes

in Management Science. Proceedings of the 1st International Conference on Applied

Operational Research-ICAOR ´08, Vol. 1, Sept. 2008, Yerevan, Armenia, pp.53-61,

ISSN 2008-0050.

JANÁČEK J., BUZNA, Ľ. Facility location in distribution systems. EDIS Žilina

University Publisher, Žilina, 142 p., 2007.

JÁNOŠÍKOVÁ, L. Emergency Medical Service Planning. Communications –Scientific

Letters of the University of Žilina, Vol. 9, No 2, 2007, pp 64-68.

TEICHMAN, D. Příspěvek k problematice evakuace obyvatelstva a možnosti využití

matematického modelování při jejím plánování. In: Krízový management, Vol. 7, No 2,

XPRESS-MP Manual “Getting Started”. Dash Associates, Blisworth, UK, 2005, p. 105.

XPRESS-Mosel “User guide”. Dash Associates, Blisworth, 2005, UK, p. 99.

Published

2008-12-30

How to Cite

Janáček, J. (2008). EXPLOITATION OF COMERCIAL IP-SOLVER FOR LOCATION PROBLEM SOLVING. Perner’s Contacts, 3(5), 119–124. Retrieved from https://pernerscontacts.upce.cz/index.php/perner/article/view/1351

Issue

Section

Articles