Age replacement with Markovian opportunity process
Age replacement with Markovian opportunity process
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DOI：
10.1016/j.ress.2021.107949
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发表时间：
2021-12
期刊：
影响因子：
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通讯作者：
Junjun Zheng;H. Okamura;T. Dohi
中科院分区：
文献类型：
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作者：
Junjun Zheng;H. Okamura;T. Dohi
本文研究了在机会的到来服从随机点过程的假设下的年龄更替问题。机会是一个进行替换的机会，人们可以在机会中以低成本替换一个单元。本文将Dekker和Dijkstra（1992）以及Zhao和Nakagawa（2012）提出的基于机会的年龄更替模型推广到机会过程服从马尔可夫到达过程（MAP）的环境中。MAP是一个一般的点过程，它包含Poisson过程和一些更新过程类。本文对带机会的预防性替换问题的到达过程进行了推广。此外，在广义建模框架下，对Dekker和Dijkstra（1992）以及Zhao和Nakagawa（2012）提出的基于机会的年龄更替政策进行了综合评价。
This paper focuses on the age replacement problems under the assumption that the arrival of opportunities follows a stochastic point process. The opportunity is a chance to make the replacement, and one can replace a unit with a low cost at the opportunity. In this paper, the opportunity-based age replacement models by Dekker and Dijkstra (1992) and Zhao and Nakagawa (2012) are extended in the environment where the opportunity process is in accordance with a Markovian arrival process (MAP). The MAP is one of the general point processes, and involves a Poisson process and some renewal process classes. This work introduces the generalization of the arrival process of the preventive replacement problems with opportunities. Furthermore, a comprehensive evaluation of the opportunity-based age replacement policies by Dekker and Dijkstra (1992) and Zhao and Nakagawa (2012) in the generalized modeling framework is carried out.