A bivariate mixed policy for a system with multistate failure. (19th May 2018)

• Record Type: Journal Article
• Authors: Wei, Yiqing; Hou, Zhenting
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 21:Number 4(2018)
• Page Start: 803
• Page End: 811
• Publication Date: 2018-05-19
• Subjects: Geometric process -- Renewal process -- Reliability; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2018.1479163
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: The paper studies a geometric process model with multistate failure based on preventive repair. Assume that the system has two types of failures when it fails. One is minor failure that a new system is installed after the N th failure, the other is catastrophic failure that the system can only be removed by replacement. The preventive repair is adopted when its reliability drops to an undetermined constant R . An optimal replacement policy ( R, N )* is determined by minimizing the average cost rate. Finally, a numerical example is studied that the operating time of system is a Weibull distribution.