Modelling and computing (Rn, Sn) policies for inventory systems with non-stationary stochastic demand

TARIM Ş. A., Kingsman B. G.

European Journal of Operational Research, cilt.174, sa.1, ss.581-599, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.ejor.2005.01.053
  • Dergi Adı: European Journal of Operational Research
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.581-599
  • Anahtar Kelimeler: Inventory, Modelling, Non-stationary (R, S) policy, Stochastic demand
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This paper addresses the single-item, non-stationary stochastic demand inventory control problem under the non-stationary (R, S) policy. In non-stationary (R, S) policies two sets of control parameters-the review intervals, which are not necessarily equal, and the order-up-to-levels for replenishment periods-are fixed at the beginning of the planning horizon to minimize the expected total cost. It is assumed that the total cost is comprised of fixed ordering costs and proportional direct item, inventory holding and shortage costs. With the common assumption that the actual demand per period is a normally distributed random variable about some forecast value, a certainty equivalent mixed integer linear programming model is developed for computing policy parameters. The model is obtained by means of a piecewise linear approximation to the non-linear terms in the cost function. Numerical examples are provided. © 2005 Elsevier B.V. All rights reserved.