ON STOCHASTIC COMPARISONS FOR LOAD-SHARING SERIES AND PARALLEL SYSTEMS. Issue 3 (8th November 2016)

• Record Type: Journal Article
• Authors: Finkelstein, Maxim; Hazra, Nil Kamal
• Is Part Of: Probability in the engineering and informational sciences. Volume 31:Issue 3(2017)
• Page Start: 311
• Page End: 329
• Publication Date: 2016-11-08
• Subjects: accelerated lifetime model, -- cumulative exposure model, -- hazard rate function, -- reversed hazard rate function, -- stochastic orders, -- virtual age; Probabilities -- Periodicals; Engineering -- Statistical methods -- Periodicals; Information science -- Statistical methods -- Periodicals; 519.202462
• DOI: 10.1017/S0269964816000395
• Languages: English
• ISSNs: 0269-9648

Abstract

Abstract : We study the allocation strategies for redundant components in the load-sharing series/parallel systems. We show that under the specified assumptions, the allocation of a redundant component to the stochastically weakest (strongest) component of a series (parallel) system is the best strategy to achieve its maximal reliability. The results have been studied under cumulative exposure model and for a general scenario as well. They have a clear intuitive meaning; however, the corresponding additional assumptions are not obvious, which can be seen from the proofs of our theorems.