Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2015
  • Volume: 7
  • Issue: 2

Cost-Benefit analysis of a two-unit centrifuge system considering repair and replacement

  • Author:
  • Vinod Kumar1, Shakeel Ahmad2
  • Total Page Count: 10
  • Page Number: 287 to 296

1Department of Mathematics, Shri Baba Mast Nath Engineering College, Asthal Bohar, Rohtak-124001, Haryana, India

2Research Scholar, Department of Statistics, Shri Jagdish Prasad Jhabarmal Tibrewala University, Dist Jhunjhunu, Rajasthan-333001, India

Online published on 5 December, 2015.

Abstract

The present paper is an attempt to analyse a two-unit cold standby centrifuge system having identical units considering minor/major faults with on-line repairs and replacement. It is assumed that on occurrence of a minor fault the system leads to partial failure state and an on-line repair is start for the system by the repairman whereas on occurrence of a major fault it leads to complete failure state. On complete failure of the system, the repairman first inspect the system and check whether the fault is repairable or non repairable and then accordingly carry out the repair or replacement of the component of the system involved. Various measures of system effectiveness such as MTSF, Expected Uptime with full/reduced capacity, Busy Period and Profit are obtained by using Markov processes and regenerative point technique. The analysis of the system is carried out on the basis of the graphical studies and conclusions are drawn regarding the reliability, availability and profit of the system.

Keywords

Centrifuge System, MTSF, Expected Uptime, Busy Period, Profit, Markov Process, Regenerative Point Technique