Performance Analysis of Repairable System under Bi-objective Inspection Policy with Partial Failure and Replacement of Failed Unit
Abstract
The objective of the present paper is to analyze the performance of a repairable system under bi-objective inspection policy with partial failure and replacement of failed unit. For this purpose, a reliability model of the system is developed in which the unit fails completely via partial failure mode. A single repair facility is available in the system, which is responsible for inspection, replacement, and repair. Under the bi-objective inspection policy, the first inspection is carried out to investigate whether the unit is within warranty or beyond warranty, whereas the second inspection is done in beyond warranty phase to examine the feasibility of repair. All repairs within warranty (WW) are free of cost to the consumers provided failures are not due to the negligence of the consumers. To analyze the performance of the system, the regenerative point technique and the semi-Markov process have been used. All the rates, i.e., failure rate, repair rate, and inspection rate follow the arbitrary distribution. Numerical results for various reliability measures such as reliability, mean time to system failure (MTSF), availability, and profit function with distinct choices of system parameters have been evaluated and shown through graphs.
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