关于不完美的修补过程

IF 0.7 3区工程技术 Q4 ENGINEERING, INDUSTRIAL

Probability in the Engineering and Informational Sciences Pub Date : 2023-09-18 DOI:10.1017/s0269964823000177

Ji Hwan Cha, Maxim Finkelstein

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引用次数: 0

摘要

本文介绍了一种新的点法。它将非齐次泊松过程与近年来研究的广义Polya过程(GPP)相结合。在可靠性解释中，该过程中的每个事件(故障)以给定的概率进行最小修复，并以互补概率进行gpp修复。通过相应的二元点过程对新过程进行了表征。通过相应的速率得到了边际过程的平均事件数，并将其作为一个应用来考虑最优替换问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the combined imperfect repair process

Abstract In this paper, a new point process is introduced. It combines the nonhomogeneous Poisson process with the generalized Polya process (GPP) studied in recent literature. In reliability interpretation, each event (failure) from this process is minimally repaired with a given probability and GPP-repaired with the complementary probability. Characterization of the new process via the corresponding bivariate point process is presented. The mean numbers of events for marginal processes are obtained via the corresponding rates, which are used for considering an optimal replacement problem as an application.

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来源期刊

Probability in the Engineering and Informational Sciences 数学-工程：工业

CiteScore

2.20

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： The primary focus of the journal is on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, mathematical finance and probabilistic networks and graphs. Papers on analytic properties and related disciplines are also considered, as well as more general papers on applied and computational probability, if appropriate. Readers include academics working in statistics, operations research, computer science, engineering, management science and physical sciences as well as industrial practitioners engaged in telecommunications, computer science, financial engineering, operations research and management science.