Title: N-policy for redundant repairable system with multiple types of warm standbys with switching failure and vacation

Authors: Madhu Jain; Ritu Gupta

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India ' Department of Mathematics, AIAS, Amity University, 125-Noida 201303, India

Abstract: This investigation is concerned with the reliability analysis of redundant repairable system which is supported by mixed standby and two repairmen who turn on according to a threshold N-policy. The first repairman never takes a vacation while the second repairman leaves for a vacation of random length when the number of failed components is less than N. The concepts of standby switching failure, degradation and common cause failure are incorporated to predict the performance metrics of the real time redundant repairable system. By developing Markov model, the transient queue size distribution and expressions for the system reliability, mean time to system failure and other performance measures are obtained. The sensitivity analysis is performed by taking numerical illustration. The model is also examined computationally by employing the adaptive network-based fuzzy interference system (ANFIS) approach to compute the system descriptors. Using supervised learning process, the comparison between the ANFIS results and analytical results are made.

Keywords: reliability; N-policy; standby switching failures; server vacation; neuro fuzzy technique.

DOI: 10.1504/IJMOR.2018.095484

International Journal of Mathematics in Operational Research, 2018 Vol.13 No.4, pp.419 - 449

Received: 16 May 2016
Accepted: 10 Apr 2017
Published online: 08 Oct 2018 *

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