Analysis of inventory-production systems with Weibull distributed deterioration

Baten A., KAMIL A. A.

International Journal of Physical Sciences, vol.4, no.11, pp.676-682, 2009 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 11
  • Publication Date: 2009
  • Journal Name: International Journal of Physical Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.676-682
  • Keywords: Inventory-production system, Optimal control, Performance measure, Pontryagin maximum principle, Weibull distributed deterioration
  • Istanbul Gelisim University Affiliated: No


We studied the inventory-production system with two-parameter Weibull distributed deterioration items. The solution of optimal inventory production control problem with Weibull distribution deteriorating item was revisited based on Baten and Kamil (2009) and carried out using Pontryagin maximum principle. It was also illustrated with an example. The overall inventory and production control were tested for different demand patterns. The inventory production controlled systems of non-linear differential equations were solved numerically. © 2009 Academic Journals.