论文信息 - Manufacturing systems with random breakdowns and deteriorating items

Manufacturing systems with random breakdowns and deteriorating items

This paper deals with the inventory control problem for production system in which multiple part types are produced and the produced parts are supposed to be deteriorating with fixed rates. The capacity of the production system is assumed to be random and bounded. The inventory control problem is formulated as a stochastic optimization problem that falls into the framework of the optimization problem of the class of systems with Markovian jumps. The optimal production rates are characterized and a numerical example is worked out to show the validness of the theoretical results.

Zikuan Liu | El Kebir Boukas | E. Boukas | Zikuan Liu

[1] Qing Zhang,et al. Hierarchical Decision Making in Stochastic Manufacturing Systems , 1994 .

[2] Hui-Ming Wee,et al. Economic production lot size model for deteriorating items with partial back-ordering , 1993 .

[3] Haiping Xu,et al. An economic ordering policy model for deteriorating items with time proportional demand , 1990 .

[4] R. Rishel. Dynamic Programming and Minimum Principles for Systems with Jump Markov Disturbances , 1975 .

[5] W. Fleming,et al. Controlled Markov processes and viscosity solutions , 1992 .

[6] El-Kébir Boukas,et al. Manufacturing flow control and preventing maintenance: a stochastic control approach , 1988 .

[7] Kheng Joo Heng,et al. An order-level lot-size inventory model for deteriorating items with finite replenishment rate , 1991 .

[8] Hamid Bahari-Kashani,et al. Replenishment Schedule for Deteriorating Items with Time-Proportional Demand , 1989 .

[9] H. Kushner. Numerical Methods for Stochastic Control Problems in Continuous Time , 2000 .

[10] R. Akella,et al. Optimal control of production rate in a failure prone manufacturing system , 1985, 1985 24th IEEE Conference on Decision and Control.