New heuristic methods for the capacitated multi-facility weber problem


ARAS M. N., Altmel I. K., Orbay M.

Naval Research Logistics, cilt.54, sa.1, ss.21-32, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1002/nav.20176
  • Dergi Adı: Naval Research Logistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.21-32
  • Anahtar Kelimeler: Heuristics, Location-allocation, Mixed integer linear programming
  • Boğaziçi Üniversitesi Adresli: Evet

Özet

In this paper we consider the capacitated multi-facility Weber problem with the Euclidean, squared Euclidean, and lp-distances. This problem is concerned with locating m capacitated facilities in the Euclidean plane to satisfy the demand of n customers with the minimum total transportation cost. The demand and location of each customer are known a priori and the transportation cost between customers and facilities is proportional to the distance between them. We first present a mixed integer linear programming approximation of the problem. We then propose new heuristic solution methods based on this approximation. Computational results on benchmark instances indicate that the new methods are both accurate and efficient. © 2006 Wiley Periodicals, Inc.