Approximate queueing models for capacitated multi-stage inventory systems under base-stock control


AVŞAR Z. M. , ZİJM H.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, cilt.236, sa.1, ss.135-146, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 236 Konu: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.ejor.2013.12.046
  • Dergi Adı: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
  • Sayfa Sayıları: ss.135-146

Özet

A queueing analysis is presented for base-stock controlled multi-stage production-inventory systems with capacity constraints. The exact queueing model is approximated by replacing some state-dependent conditional probabilities (that are used to express the transition rates) by constants. Two recursive algorithms (each with several variants) are developed for analysis of the steady-state performance. It is analytically shown that one of these algorithms is equivalent to the existing approximations given in the literature. The system studied here is more general than the systems studied in the literature. The numerical investigation for three-stage systems shows that the proposed approximations work well to estimate the relevant performance measures. (C) 2014 Elsevier B.V. All rights reserved.