Replacement policies with general models
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It would be of interest to formulate the general replacement models, combing the constant and random policies to satisfy the commonly planned and randomly needed replacement times. This paper takes up age and periodic replacement models again to formulate their general models when replacement actions are also conducted at random times \(Y_i~(i=1,2,\ldots ,n)\). The classic approach of whichever occurs first and the newly proposed approach of whichever occurs last are used for such general models, whose models are named as replacement first, modified replacement first, replacement last and modified replacement last, respectively. We compare all of the replacement models analytically and numerically to find which policy should be selected from the viewpoint of cost. It is shown that the modified replacement policies with combined approaches of whichever occurs first and last are more economical than others. In addition, the replacement models with different replacement costs are extended for further studies.
KeywordsAge replacement Random replacement General replacement Replacement last Unit failure
This work is supported by Ministry of Science and Technology in Taiwan (No. MOST 104-2221-E-030-010).
- Barlow, R. E., & Proschan, F. (1965). Mathematical theory of reliability. New York: Wiley.Google Scholar
- Chen, M., Qian, C., Zhao, X., & Nakagawa, T. (2016). Replacement policy with a general model. In The 7th Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling, Seoul, Korea (pp. 49–56).Google Scholar
- Gray, J., & Reuter, A. (1992). Transaction processing: Concepts and techniques. Burlington: Morgan Kaufmann.Google Scholar
- Kobbacy, K. A. H., & Murthy, D. N. P. (2008). Complex system maintenance handbook. London: Springer.Google Scholar
- Lewis, M., Bernstein, B., & Kifer, M. (2002). Databases and transaction processing: An application-oriented approach. Boston: Addison Wesley.Google Scholar
- Nakagawa, T. (2005). Maintenance theory of reliability. London: Springer.Google Scholar
- Nakagawa, T. (2008). Advanced reliability models and maintenance policies. London: Springer.Google Scholar
- Wang, H., & Pham, H. (2007). Reliability and optimal maintenance. London: Springer.Google Scholar