@inproceedings{a300d0d57dd744f6a48f396d0d6f6b2b,
title = "Reliability and profit analysis of a series repairable system with repairman vacation",
abstract = "This paper deals with an n-unit series repairable system with repairman vacation and replaceable facility. First, the uniqueness and existence of the system dynamic solution is discussed by using C0-semigroup theory. It is followed by the presentation of the stability, especially the exponential stability of the system by analyzing the spectral distribution of the system operator and its quasi-compactness. In the end, some primary reliability indices are calculated from the eigenfunction point of view and the optimal system profit for repairman vacation and some other applications are provided.",
keywords = "C -semigroup theory, Dynamic solution, Exponential stability, Reliability indices, Steady-state solution",
author = "Lina Guo and Zhixin Zhao and Houbao Xu and Guangtian Zhu",
year = "2011",
language = "English",
isbn = "9789881725592",
series = "Proceedings of the 30th Chinese Control Conference, CCC 2011",
pages = "1009--1014",
booktitle = "Proceedings of the 30th Chinese Control Conference, CCC 2011",
note = "30th Chinese Control Conference, CCC 2011 ; Conference date: 22-07-2011 Through 24-07-2011",
}