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Stochastic Comparison of Age-Dependent Block Replacement Policies
Authors:Haijun?Li  author-information"  >  author-information__contact u-icon-before"  >  mailto:lih@math.wsu.edu"   title="  lih@math.wsu.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, Washington State University, Pullman, WA 99164, USA
Abstract:The age-dependent block replacement policy is a modified block replacement policy with an age limit for preventive replacements. Under this policy, any failed component is repaired, but only the components whose ages exceed a fixed age limit are replaced preventively at the scheduled maintenance times. Using the compensator method, we compare stochastically the failure counting processes of the age-dependent block replacement policies with different parameters, and show that the age-dependent block replacement policy, although cost effective, leads to more failures than the age and block replacement policies. AMS 2000 Subject Classification 60K10
Keywords:block replacement with age limit  age and block replacements  imperfect repair  maintenance comparison  compensator function  IFR  majorization and Schur-convex function
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