On the minimization of total weighted flow time with identical and uniform parallel machines


Azizoglu M. , Kirca O.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, cilt.113, sa.1, ss.91-100, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 113 Konu: 1
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0377-2217(97)00427-x
  • Dergi Adı: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
  • Sayfa Sayıları: ss.91-100

Özet

We consider the NP-hard problem of scheduling jobs on identical parallel machines to minimize total weighted flow time. We discuss the properties that characterize the structure of an optimal solution, present a lower bound and propose a branch and bound algorithm. The algorithm is superior to prior methods presented in the literature. We also extend the algorithm to uniform parallel machines and solve medium-sized problem instances. (C) 1999 Elsevier Science B.V. All rights reserved.