Some inferences on reliability measures of two-non-identical units cold standby system waiting for repair

Rohit Patawa (), Pramendra Singh Pundir (), Alok Kumar Sigh () and Abhinav Singh ()
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Rohit Patawa: University of Allahabad
Pramendra Singh Pundir: University of Allahabad
Alok Kumar Sigh: Raja Balawant Singh College
Abhinav Singh: Banaras Hindu University

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 1, No 13, 172-188

Abstract: Abstract This article scrutinizes the behavior of a two dissimilar units cold standby repairable system with waiting time facility. The time to failure for each of the units is exponentially distributed with different failure rates whereas the repair time distributions of both the units follow one parameter Lindley distribution with different repair rates. The waiting time distribution for both the units is identically one parameter Lindley distribution. Unknown parameters, that are used to evaluate the measures of system effectiveness such as MTSF and steady-state availability, have been estimated by using maximum likelihood approach and Bayesian approach under different types of priors. A simulation study at the end exhibits the behavior of such a system. The Monte-Carlo technique is employed to draw observations for this simulation study.

Keywords: MTSF; Availability; Maintenance; Lindley distribution; Maximum likelihood; Metropolis-hastings algorithm; Bayesian inference (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13198-021-01188-7

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