Computational approach to cost and profit analysis of k-out of-n repairable system integrating human error and system failure constraints

Maurya Vishwa Nath

Physical Sciences Research International
Published: November 12 2013
Volume 1, Issue 4
Pages 133-140

Abstract

This paper envisages a computational approach to demonstrate cost and profit analysis of k-out of–n repairable system taking into account the human error and common-cause system failure constraints. Earlier research work in queuing networks with system repair model boosts to confine attention for cost and profit analysis of k-out of–n repairable system due to its significant scope in pricing in modern-economics and informatics era, reliability engineering and system safety. In this paper, formulation of cost and profit functions of the model both in steady and transient states have been proposed. Moreover, results with numerical illustration have also been explored results for three different cases. Computed results for profit of the system both in steady and transient states in different three cases are shown in Tables 1 and 2. In addition, relevant graphs showing variation of profit with respect to time have also been displayed in Figures 1 and 2 particularly for sensitivity analysis and observational conclusions. By the end of paper, valuable discussions and significant conclusive observations have been presented.

Keywords: Cost analysis, profit function, mathematical modeling, repairable system, human error, common-cause system failure, steady state availability, Laplace transform, performance analysis.

Full Text PDF