Title: Joint determination of production cycle and preventive maintenance schedule for an imperfect production system under stochastic demand

Authors: Abdulrahman R. Alenezi; Mohammed J. Alkhedher

Addresses: Department of Industrial and Management Systems Engineering, College of Engineering and Petroleum, Kuwait University, P.O. Box 5969, 13060, Safat, Kuwait ' Department of Industrial and Management Systems Engineering, College of Engineering and Petroleum, Kuwait University, P.O. Box 5969, 13060, Safat, Kuwait

Abstract: This paper deals with integrating lot-sizing decisions in stochastic continuous review inventory control model and preventive maintenance (PM) decisions for an imperfect process having a general deterioration distribution with increasing hazard rate. The demand on the produced item is a random variable that follows a normal distribution. Furthermore, the production process under consideration is imperfect, that is, it may fail at any point in time during the production run. If it suddenly fails while engaged in production, the process is minimally repaired without affecting its age. In order to reduce the occurrences of such sudden failures, preventive maintenance (PM) is carried out at certain intervals of time during the production run. The PM policy considered here reduces the age of the process by a certain amount depending on the cost of PM conducted. The objective of the model is to determine the optimal lot size and maintenance schedule such that the expected total cost is minimised.

Keywords: preventive maintenance; minimal repair; lot sizing; random demand; production cycle; scheduling; imperfect production systems; stochastic demand; stochastic continuous review; inventory control; inventory modelling.

DOI: 10.1504/IJOR.2016.076884

International Journal of Operational Research, 2016 Vol.26 No.3, pp.323 - 339

Received: 24 Jan 2014
Accepted: 06 May 2014
Published online: 06 Jun 2016 *

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