Optimal integrated maintenance/production policy for randomly failing systems with variable failure rate

• Published in: International journal of production research Vol. 49; no. 19; pp. 5695 - 5712
• Main Authors: Zied, Hajej, Sofiene, Dellagi, Nidhal, Rezg
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.10.2011; Taylor & Francis; Taylor & Francis LLC
• Subjects: Applied sciences; Demand; Deterioration; Exact sciences and technology; failure rate; Inventory control, production control. Distribution; linear quadratic model; Maintenance; Maintenance costs; Maintenance management; maintenance scheduling; maintenance strategies; Manufacturing engineering; Numerical analysis; operational age; Operational research and scientific management; Operational research. Management science; Optimization; Optimization techniques; Policies; production plan; Production planning; Reliability theory. Replacement problems; Schedules; Studies; Productivity; Production system; Stochastic model; operational age; Optimal policy; Maintenance cost; Scheduling; Maintenance; Failure rate; Linear model; Production management; production plan; Production rate; linear quadratic model; Production cost; Inventory control; maintenance strategies; Reliability; maintenance scheduling; Age; Physical Sciences
• ISSN: 0020-7543; 1366-588X
• DOI: 10.1080/00207543.2010.528063

This article deals with the combined production and maintenance plans for a manufacturing system satisfying a random demand. We first establish an optimal production plan which minimises the average total inventory and production cost. Second, using this optimal production plan, and taking into account the deterioration of the machine according to its production rate, we derive an optimal maintenance schedule which minimises the maintenance cost. A numerical example illustrates the proposed approach, this analytical approach, based on a stochastic optimisation model and using the operational age concept, reveals the significant influence of the production rate on the deterioration of the manufacturing system and consequently on the integrated production/maintenance policy.