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Maintenance of multi-state production systems deteriorated by random shocks and production

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Abstract

We consider the preventive maintenance of a production system that is deteriorated by random shocks and the production process itself. The degree of deterioration is modeled by discrete and finite states. Shocks arrive according to a Poisson process and deteriorate the system by random amounts. The system may deteriorate whenever it produces an item. The system is continuously monitored and repaired if the system state is at or above a predetermined level for maintenance. We analyze the lifetime, product quantity, average cost, and average profit considering revenue from the product and cost due to setup, operation, and repair. Assuming a structure of system parameters and costs, using numerical examples, we investigate the impact of production and shock arrivals on the average profit and the optimal maintenance level that maximizes the average profit. The proposed model is applicable to manufacturing tasks in which machines wear due to production, for example, press processes, milling, turning, punching, and drilling.

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Authors and Affiliations

  1. Department of Business Administration, Hannam University, Daejeon, 306-791, Republic of Korea

    Won Seok Yang

  2. Department of Industrial and Systems Engineering, KAIST, Daejeon, 305-701, Republic of Korea

    Dae E. Lim & Kyung C. Chae

Authors
  1. Won Seok Yang
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  2. Dae E. Lim
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  3. Kyung C. Chae
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Corresponding author

Correspondence to Dae E. Lim.

Additional information

This paper was supported by the 2010 Hannam University Research Fund.

Won Seok Yang received his master’s degree and Ph.D. from KAIST, Daejeon, Korea. Currently, he is a professor of Department of Business Administration at Hannam University. His research interests include stochastic modeling, queuing theory, production management, telecommunication networks and policy, and information security.

Dae-Eun Lim received his master’s degree and Ph.D. from KAIST, Daejeon. Currently, he is a senior engineer of Samsung Electronics. His research interests include stochastic modeling and queuing theory.

Kyung-Chul Chae received his master’s degree and Ph.D. from the Ohio State University. Currently, he is a professor of Industrial & Systems Engineering at KAIST. His research interest includes stochastic modeling and queuing theory.

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Yang, W.S., Lim, D.E. & Chae, K.C. Maintenance of multi-state production systems deteriorated by random shocks and production. J. Syst. Sci. Syst. Eng. 20, 110–118 (2011). https://doi.org/10.1007/s11518-010-5143-9

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  • DOI: https://doi.org/10.1007/s11518-010-5143-9

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