Improvement, deterioration, and optimal replacement under age-replacement with minimal repair

Stochastic Comparison of Repairable Systems

“…Ebrahimi (1989), Bagai and Jain (1994) and Deshpande . and Singh (1995) defined system improvement (deterioration) of a system through comparison of the conditional inter-arrival times at different time points, by using several known partial and complete orderings between life distributions (cf.…”

“…For a repairable system subjected to minimal repair, Ebrahimi (1989), Bagai and Jain (1994) and Deshpande and Singh (1995) JAIN For the ordering definitions, one can refer to Deshpande, Singh, Bagai and Jain (1990), Muller and Stoyan (2002) and Shaked and Shanthikurnar (2007).…”

On Improvement and Deterioration of A Repairable System Under Generalized Stochastic Orders

“…The comparison of interarrival times in terms of different partial orders viz. LR (Likelihood Ratio), F R (Failure Rate), ST (Stochastic), M RL (Mean Residual Life) orders has been discussed in Bagai and Jain (1994) and Deshpande and Singh (1995). Nanda (1997) has compared the interarrival times with respect to s-F R and s-ST orders so that the results of Bagai and Jain (1994) and Deshpande and Singh (1995) become the particular cases.…”

“…LR (Likelihood Ratio), F R (Failure Rate), ST (Stochastic), M RL (Mean Residual Life) orders has been discussed in Bagai and Jain (1994) and Deshpande and Singh (1995). Nanda (1997) has compared the interarrival times with respect to s-F R and s-ST orders so that the results of Bagai and Jain (1994) and Deshpande and Singh (1995) become the particular cases. For the definitions of s-F R and s-ST orders one may refer to Fagiuoli and Pellerey (1993) (see also Mukherjee and Chatterjee (1992)) where they have taken s to be any nonnegative integer.…”

Aging Evaluation for the Extension of Qualified Life of Nuclear Power Plant Equipment

“…Then, by applying adequate corrective maintenance actions to mitigate aging effects, the repairable system can return to or be maintained under a homogeneous process. Non-homogeneous Poisson point processes have wide application, like the analysis of failure occurrence trends, (Asher & Feingold, 1984), optimal replacement problems, (Bagai & Jain, 1994), warrant data analysis, (Majeske, 2003) and accident sequence precursor analysis, (Modarres et al, 1996). NHPP applications have been extensively made to the reliability growth model, (Crow, 1974).…”