Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2018
  • Volume: 37e
  • Issue: 1

Reliability Analysis of Six Unit Bridge and Parallel Series Networks With Critical and Non-Critical Human Errors

1Research scholar, Department of Mathematics, SK University, Anantapuramu, Andhra Pradesh, India-515003

2Professor, Department of Mathematics, SK University, Anantapuramu, Andhra Pradesh, India-515003

*Corresponding Author: T. Suvarna, Research scholar, Department of Mathematics, SK University, Anantapuramu, Andhra Pradesh, India-515003. E-mail: suvarna8886@gmail.com

Online published on 2 July, 2018.

Abstract

Humans play a pivotal role in the design, development and operational phases of engineering systems. Reliability evaluation of systems without taking into consideration the human element does not provide a realistic picture. Hence, there is a definite need for incorporating the occurrence of human errors in system reliability evaluation. This paper presents reliability analysis of bridge and parallel-series networks with critical and non-critical Human errors. A newly developed approach is used to perform the system reliability analysis. The approach demonstrated in this paper, which consists of six unit bridge network, is a modified version of the block diagram approach.

Keywords

Reliability, Critical and Non-Critical human errors, Exponential distribution, Bridge network, MTTF, Hazard rate