Analysis of maintenance policies for M machines with deteriorating performance

In this paper, we consider the maintenance scheduling of a group of M identical machines, the performance of which deteriorates with usage. Examples of such situations are frequently found in the heavy machine tooling, petro-chemical and semi-conductor industries among others. Assuming a limited maintenance resource and that the maintenance times are i.i.d., we propose a dynamic maintenance policy which utilities the information about the number of operating machines and their ages. We analyze the system for the special cases of constant and exponentially distributed maintenance times. We investigate the impact of maintenance time variability on system performance and evaluate the performance of various maintenance policies within the proposed policy class when the expected profit rate is maximized

[1]  Sung-Jin Kang,et al.  A control policy for replacement involving two machines and one repairman , 1992 .

[2]  G. O. Wesolowsky,et al.  Optimal Control of a Linear Trend Process with Quadratic Loss , 1989 .

[3]  Süleyman Özekici Optimal Periodic Replacement of Multicomponent Reliability Systems , 1988, Oper. Res..

[4]  William P. Pierskalla,et al.  A survey of maintenance models: The control and surveillance of deteriorating systems , 1976 .

[5]  K. Moinzadeh Operating characteristics of the ( S -1, S ) inventory system with partial backorders and constant resupply times , 1989 .

[6]  C. E. Love,et al.  Repair Limit Policies for Vehicle Replacement , 1982 .

[7]  Richard M. Feldman,et al.  A survey of preventive maintenance models for stochastically deteriorating single-unit systems , 1989 .

[8]  Richard A. Wysk,et al.  Optimal cutting tool replacement based on tool wear status , 1990 .

[9]  P. Kolesar Minimum Cost Replacement Under Markovian Deterioration , 1966 .

[10]  D. Cox The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables , 1955, Mathematical Proceedings of the Cambridge Philosophical Society.

[11]  Frank A. Van der Duyn Schouten,et al.  Two Simple Control Policies for a Multicomponent Maintenance System , 1993, Oper. Res..

[12]  Steven Nahmias,et al.  S-1, S Policies for Perishable Inventory , 1985 .

[13]  Mahmut Parlar,et al.  A survey of maintenance models for multi-unit systems , 1991 .

[14]  J. McCall Maintenance Policies for Stochastically Failing Equipment: A Survey , 1965 .

[15]  Menachem Berg,et al.  A note on a modified block replacement policy for units with increasing marginal running costs , 1979 .

[16]  B. D. Sivazlian,et al.  GROUP REPLACEMENT OF A MULTICOMPONENT SYSTEM WHICH IS SUBJECT TO DETERIORATION ONLY , 1978 .

[17]  Angus Jeang,et al.  Optimal tool replacement with nondecreasing tool wear , 1992 .

[18]  Cyrus Derman,et al.  Finite State Markovian Decision Processes , 1970 .

[19]  E. Shlifer,et al.  Optimal Maintenance Policy for a Fleet of Vehicles , 1975 .

[20]  D. Pantić,et al.  VLSI fabrication principles , 1997 .

[21]  Z. A. Lomnicki,et al.  Mathematical Theory of Reliability , 1966 .

[22]  F. A. van der Duyn Schouten,et al.  A two-machine repair model with variable repair rate , 1992 .