Optimal component test plans for a parallel system based on Type-II censoring |
| |
Authors: | P. Vellaisamy M. Kumar |
| |
Affiliation: | aDepartment of Mathematics, Indian Institute of Technology, Bombay, Powai, Mumbai - 400 076, India |
| |
Abstract: | Consider a parallel system with n independent components. Assume that the lifetime of the jth component follows an exponential distribution with a constant but unknown parameter λj, 1≤j≤n. We test rj components of type-j for failure and compute the total time Tj of rj failures for the jth component. Based on T=(T1,T2,…,Tn) and r=(r1,r2,…,rn), we derive optimal reliability test plans which ensure the usual probability requirements on system reliability. Further, we solve the associated nonlinear integer programming problem by a simple enumeration of integers over the feasible range. An algorithm is developed to obtain integer solutions with minimum cost. Finally, some examples have been discussed for various levels of producer’s and consumer’s risk to illustrate the approach. Our optimal plans lead to considerable savings in costs over the available plans in the literature. |
| |
Keywords: | Parallel system Exponential lifetimes Consumer’ s risk Producer’ s risk Integer programming System reliability Type-II censoring Maximum likelihood estimates Component test plans Algorithms |
本文献已被 ScienceDirect 等数据库收录! |
|