Mathematical modelling to industrial repair and maintenance policy system for its reliability

: pp. 465–473
Received: February 04, 2021
Revised: May 28, 2021
Accepted: June 19, 2021
Chitkara University Institute of Engineering and Technology, Chitkara University
Department of Mathematics and Statistics, Ch. Charan Singh Haryana, Agricultural University
Department of Applied Sciences, Panipat Institute of Engineering and Technology

The present paper is an initiative taken by emerging reliability model to a automobile repair industries for its products by dividing repair policy into two categories as (a)~regular/normal service and (b)~strategy for accidental or additional failure.  The concept of inspection process has been introduced for proper verification of failure and also to its repairing strategy with time and cost.  The maintenance cost for regular services are fixed but for the case of additional failures the additional cost will be decided upon the level of damage.  The stochastic analysis for system been numerically and graphically analyzed by calculating reliability variables like MTSF, availability, inspection and maintenance analysis of the system with the concept of geometric distribution, Markov process and regenerative technique.  The results been proved beneficial for fulfilling the objective of calculating profit function that increases with increasing repair and decreasing failure rate.

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Mathematical Modeling and Computing, Vol. 8, No. 3, pp. 465–473 (2021)