A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations. (14th July 2012)

• Record Type: Journal Article
• Authors: Liu, Renbin; Wu, Yong
• Other Names: Au Francis T. K. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-07-14
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/182975
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : Based on the renewal process theory we develop a decomposition method to analyze the reliability of the repair facility in an n -unit series system with vacations. Using this approach, we study the unavailability and the mean replacement number during( 0, t ] of the repair facility. The method proposed in this work is novel and concise, which can make us see clearly the structures of the facility indices of a series system with an unreliable repair facility, two convolution relations. Special cases and numerical examples are given to show the validity of our method.