Joint optimization of production and maintenance strategies considering a dynamic sampling strategy for a deteriorating system

This paper presents a control policy of integrated production, maintenance and quality control planning for acontinuous production system subject to quality deterioration. The system under study is composed of an unreliable machine that produces one part type satisfying customers demand. The machine can fail at any time andis subject to quality deterioration, and so a preventive maintenance and quality control policies are proposed todecrease the rate of defectives and to increase the system availability. The proposed production policy incorporatesproduction thresholds, which regulate the machine production rate. Traditional sampling inspectionsstandards such as ANSI/ASQC Z1.4 and ISO 2859 have addressed a dynamic quality control level to face qualitydeterioration. However, these standards are based only on quality considerations, disregarding the economicaspects and the interactions with production and maintenance management in the design of sampling plans.Thus, the proposed integrated model analyses in detail the effect of such dynamic sampling strategy and relevantinteractions with production and maintenance strategies. The main objective of the paper is to determine anappropriate production policy as well as the preventive maintenance and the quality control rates in order tominimize the expected average incurred cost and satisfy at the same time a quality constraint. Given the highflexibility and capacity to model complex manufacturing systems, a combination of simulation modeling andoptimization techniques are used to determine a solution for this stochastic and constrained problem. In addition,numerical examples and an extensive sensitivity analysis are conducted to illustrate the proposed controlapproach. Furthermore, we compared the proposed integrated policy with three common policies from theliterature. Such study serve us to highlight the effectiveness of the approach, since the proposed integrated policyled to considerable cost savings.