Abstract
A four-unit parallel cold standby system is considered for evaluation of its reliability. The units are categorized in two phases; phase-I (for main units) and phase-II units (for duplicate units). Each phase has two identical units but the units are non-identical phase wise. Initially system operate with phase-I units in parallel mode and the standby units (phase-II units) become operative simultaneously at the failure of phase-I units. There is single server who takes the responsibility of the repair of all the four units and after repair, units work as a fresh without changing the life time distribution. The provision of priority has been made to repair the phase-II units over the repair of phase-I units. System works successfully with a single phase-I unit while proper functioning of phase-II units is required for the successful operation of the system. The system model is developed using semi-Markov approach and reliability measures are determined in steady state by considering negative exponential distribution for the failure rates and arbitrary distribution for the repair rates. The behaviour of MTSF, availability and profit function of the system model has been observed for hypothetical values of the parameters. The application of the research work has been explained as the irrigation system.
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