Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2016
  • Volume: 8
  • Issue: 2

Economic analysis of a reliability model for two-unit cold standby system with three types of repair policy

  • Author:
  • Suresh Kumar Gupta1, Rashmi Gupta2
  • Total Page Count: 10
  • Page Number: 243 to 252

1Prof., Mathematics, Maharaja Agarsen Institute of Technology, Rohini, Delhi, E-mail: sureshgupta_vce@yahoo.com

2Dept. of Mathematics, Vaish College of Engineering, Rohtak, Haryana, rgupta2450@gmail.com

Online published on 1 August, 2017.

Abstract

The present paper analyses economic aspect of a reliability model for two-unit cold standby system with two types of repairman and three types of repair policy. On the failure of the unit, it is first undertaken by the ordinary repairman who may not be able to do some complex repairs and may rather damage the unit during try for its repair. On the inability shown by the ordinary repairman, the unit is undertaken for repair by the expert repairman adopting one of the three types of repair policy. Various measures of system effectiveness have been obtained by making use of semi-Markov processes and regenerative point technique. Graphical study for a particular case is made and various cut-off points for making the decisions regarding profitability of the system have been obtained.