Reliability Analysis of the Repair Facility for an n-unit Series Repairable System with an Unreliable Repair Facility and Finite Vacations

Author

Zaiming, Liu ; Renbin, Liu

Author_Institution

Sch. of Math. Sci. & Comput. Technol., Central South Univ., Changsha, China

Volume

2

fYear

2010

fDate

26-28 Nov. 2010

Firstpage

443

Lastpage

448

Abstract

By a total probability decomposition argument and the theory of renewal process, reliability analysis of the repair facility for an n-unit series system with an unreliable repair facility and finite vacations is discussed. The following reliability problems of the repair facility are studied: (a) The probability that the repair facility is during its generalized busy period, (b) The unavailability of the repair facility at time t, that is, the probability that the repair facility is being replaced at time t, (c) The mean replacement number of the repair facility during the time interval (0, t). It is important that some steady-state reliability indices and two reliability relations of the repair facility are obtained. Furthermore, Three special cases show that the vacation number affects the performance of the repair facility.

Keywords

facilities planning; maintenance engineering; probability; reliability theory; finite vacation; probability decomposition; reliability analysis; renewal process; repair facility; repairable system; steady-state reliability index; operation research; replacement number; total probability decomposition; unavailability; vacation;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Management, Innovation Management and Industrial Engineering (ICIII), 2010 International Conference on

Conference_Location

Kunming

Print_ISBN

978-1-4244-8829-2

Type

conf

DOI

10.1109/ICIII.2010.271

Filename

5694610