Reliability Measures for a System Having Two-dissimilar Cold Standby Units with Random Check and Priority Repair

S.K. Sharma ； Deepankar Sharma ； Vinita Sharma

《Research Journal of Mathematics and Statistics》 2卷2期 (2010/06) Pp. 69-74

並列摘要

In this study, it was considered a cold standby system with two dissimilar units for evaluation of its reliability parameters. These two units are named as priority unit (P-unit) and standby unit (S-unit). The main working unit is P-unit but on failure of this unit we may online S-unit through an imperfect switching device. This S-unit is not efficient to fulfill the requirements similar to P-unit. In this study, the authors have been used a random check for S-unit during its non-operation period. Mathematical model of the system has been solved with the help of Laplace transform. Head-of-line policy has been used for repair purpose. Asymptotic behaviour of system and some particular cases have been computed to improve practical utility of the model. Reliability function, availability function and MTTF of considered system have been obtained. At the last, we appended a numerical illustration together with its graphical representation to highlight important results of this study.

並列關鍵字

Asymptotic behaviour ； availability function ； markovian process ； MTTF ； reliability function ； supplementary variables