Optimal control of a simple manufacturing system with restarting costs

Authors:
Y. Salama
Affiliations:
Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
Venue:
Operations Research Letters
Year:
2000

Citing 2
Cited 1

Stochastic systems: estimation, identification and adaptive control

Stochastic systems: estimation, identification and adaptive control
Optimality of zero-inventory policies for unreliable manufacturing systems

Operations Research

Optimal control of a production inventory system with deteriorating items

International Journal of Systems Science

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Abstract

We consider the optimal control of an unreliable manufacturing system with restarting costs. In 1986 and 1988, Akella and Kumar (for the infinite horizon discounted cost) and Bielecki and Kumar (for the infinite horizon average expected cost) show that the optimal policy is given by an optimal inventory level (''hedging point policy''). Inspired by these simple systems, we explore a new class of models in which the restarting costs are explicitly taken into account. The class of models discussed often allow complete analytical discussions. In particular, the optimal policy exhibits an (s;S) type form.