Coordinating production, inspection and maintenance decisions in a stochastic manufacturing system with deterioration failures

A. S. Xanthopoulos (), S. Vlastos () and D. E. Koulouriotis ()
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A. S. Xanthopoulos: Democritus University of Thrace
S. Vlastos: Democritus University of Thrace
D. E. Koulouriotis: Democritus University of Thrace

Operational Research, 2022, vol. 22, issue 5, No 32, 5707-5732

Abstract: Abstract We examine a manufacturing system that operates under an (s, S) or base stock production control policy. The system is subjected to periodic inspections to determine its deterioration stage. Based on that information, it is decided whether to maintain the system or not by a threshold-type policy. The system breaks down if it experiences a degradation at the last deterioration stage. At that time, a repair is initiated to restore the system to the good-as-new state. We develop Markov chain models of the examined system and derive mathematical expressions for a series of relevant performance metrics. We define an expected cost function that includes production, inventory, lost sales, repair, inspection, and maintenance costs. Furthermore, this research examines numerically the properties of the cost function and proposes a local search procedure for finding optimal control parameters in respect to minimizing the total cost. A series of numerical experiments is conducted in order to compare alternative production/inspection/maintenance policies under varying system parameters. The performance of the proposed local search heuristic is also evaluated by comparing it with an exhaustive search procedure. Based on the experimental findings, this research provides insights regarding best production/inspection/maintenance control practices.

Keywords: Markov chains; Deterioration failures; Production control; Periodic inspections; Condition based preventive maintenance (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12351-022-00715-z

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