Optimal Bivariate Replacement Policies with Minimal Repairs at Failures  
Author Xufeng Zhao


Co-Author(s) Syouji Nakamura; Toshio Nakagawa


Abstract We propose in this paper that when replacement times could be scheduled at a planned time T and at number N of minimal repairs, the newly proposed assumption “whichever occurs last” should be employed into modelings. The replacement policy with the classical assumption “whichever occurs first” is also used to make comparison of that with “whichever occurs last”. Further, replacement scheduled at time T in the paper is modified to be done at the first failure after T has arrived. The “first” and “last” replacement policies with minimal repairs are analyzed in detail and their expected cost rates are formulated. Optimal solutions for separate and bivariate T and N are obtained analytically.


Keywords Minimal repair, replacement, whichever occurs first, whichever occurs last, overtime policy
    Article #:  20213
Proceedings of the 20th ISSAT International Conference on Reliability and Quality in Design
August 7-9, 2014 - Seattle, Washington, U.S.A.