A bivariate optimal replacement policy for a system subject to a generalized failure and repair process
- 주제(키워드) dependent increments property , generalized Polya process , optimal maintenance policy , stochastic intensity , worse than minimal repair
- 주제(기타) Operations Research & Management Science; Mathematics, Interdisciplinary Applications; Statistics & Probability
- 설명문(일반) [Lee, Hyunju; Cha, Ji Hwan] Ewha Womans Univ, Dept Stat, Seoul 03760, South Korea
- 등재 SCIE, SCOPUS
- 발행기관 WILEY
- 발행년도 2019
- URI http://www.dcollection.net/handler/ewha/000000160122
- 본문언어 영어
- Published As http://dx.doi.org/10.1002/asmb.2356
초록/요약
Traditionally, in the studies of the optimal maintenance policies for repairable systems, the nonhomogeneous Poisson process model, which corresponds to the minimal repair process, has been intensively applied. However, in many practical situations, the repair type is not necessarily minimal. In this article, a new repair process based on a new counting process model (so-called the generalized Polya process) is introduced. Then, the issue of the optimal replacement problem is discussed. A bivariate preventive replacement policy is developed and the properties of the optimal policy are studied. Illustrative examples are also presented. In addition, a comparison with a conventional replacement policy is performed.
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