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MAINTENANCE OPTIMIZATION OF EQUIPMENT BY LINEAR PROGRAMMING

Published online by Cambridge University Press:  12 December 2005

Archana Jayakumar
Affiliation:
Midwest ISO, Carmel, IN 46032
Sohrab Asgarpoor
Affiliation:
Electrical Engineering Department, University of Nebraska–Lincoln, Lincoln, NE 68588-0511, E-mail: [email protected]

Abstract

Optimal levels of preventive maintenance performed on any system ensures cost-effective and reliable operation of the system. In this paper a component with deterioration and random failure is modeled using Markov processes while incorporating the concept of minor and major preventive maintenance. The optimal mean times to preventive maintenance (both minor and major) of the component is determined by maximizing its availability with respect to mean time to preventive maintenance. Mathematical optimization programs Maple 7 and Lingo 7 are used to find the optimal solution, which is illustrated using a numerical example. Further, an optimal maintenance policy is obtained using Markov Decision Processes (MDPs). Linear Programming (LP) is utilized to implement the MDP problem.

Type
Research Article
Copyright
© 2006 Cambridge University Press

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References

REFERENCES

Anders, G.J. (1990). Probability concepts in electric power systems. New York: Wiley.
Asgarpoor, S. & Doghman, M. (1999). A maintenance optimization program for utilities' transmission and distribution systems. In Proceedings of the 1999 North American Power Symposium, pp. 454459.
Chan, G.K. (1998). Preventive maintenance with Markov processes. M.E. thesis, University of Nebraska–Lincoln, Lincoln NE.
Dekker, R. (1996). Applications of maintenance optimization models: A review and analysis. Reliability Engineering and System Safety 51: 229240.Google Scholar
Endrenyi, J., Anders, G.J., & Leite da Silva, A.M. (1998). Probabilistic evaluation of the effect of maintenance on reliability: An application. IEEE Transactions on Power Systems 13(2): 576583.Google Scholar
Endrenyi, J., et al. (IEEE/PES Task Force on Impact of Maintenance Strategy on Reliability). (2000). The present status of maintenance strategies and the impact of maintenance on reliability. IEEE Transactions on Power Systems 16(4): 638646.Google Scholar
Puterman, M.L. (1994). Markov decision processes: Discrete stochastic dynamic programming. New York: Wiley.
Sim, S.H. & Endrenyi, J. (1988). Optimal preventive maintenance with repair. IEEE Transactions on Reliability 37(1): 9296.Google Scholar
Sim, S.H. & Endrenyi, J. (1993). A failure repair model with minimal and major maintenance. IEEE Transactions on Reliability 42(1): 134139.Google Scholar