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Optimization of Imperfect Manufacturing Systems: Interference Analysis Between Stochastic Flow of Failures and Production Policy

Volume 5 - Issue 11, November 2022 Edition
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Guy Richard Kibouka, Jean Brice Mandatsy Moungomo
optimal control, numerical methods, production systems, production rate, maintenance policy.
This article presents a problem of optimizing the optimal stochastic control policy of a manufacturing system operating in an uncertain environment. The manufacturing unit or machine can only produce one type of part at a time. The objective of the study is to develop an optimal joint production and maintenance planning strategy aimed at making the investment profitable (minimizing the total cost incurred) while satisfying a given demand. The manufacturing unit is subject to random breakdowns and repairs. The start-up time is negligible compared to the manufacturing time of a type of part and the average time between the arrival of requests (production flexibility). In addition, the cost of running is also negligible compared to the costs of inventorying, shortage and repair of the machine. A modeling approach based on stochastic control theory and an algorithm for numerical resolution of optimum conditions are presented. Finally, the study's contribution is to find optimal production and maintenance policies that are more improved than the Modified Hedging Corridor Policy (MHCP).
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