International Journal of Statistics and Systems

  • Year: 2010
  • Volume: 5
  • Issue: 1

Cost Analysis of a System under Priority to Repair and Degradation

  • Author:
  • M.S. Kadyan2, S.C. Malik1, Jitender Kumar1
  • Total Page Count: 10
  • DOI:
  • Page Number: 1 to 10

2Department of Statistics & O.R, Kurukshetra University, Kurukshetra (India).

1Department of Statistics, M. D. University, Rohtak (India).

Abstract

This paper has been designed with an object to carryout cost analysis of a two unit reliability system in which one is operative and the other unit is kept as cold standby. Repair facility is provided immediately whenever needed. The unit becomes degraded after repair. The server inspects the degraded unit at its failure to see the feasibility of repair. If the repair of the degraded unit is not useful to the system, it is replaced by new one. The priority for repair to the new unit is given over the degraded unit. The system is considered in up-state if any of new/degraded unit is operative. The failure, repair and inspection times of the units are independent and uncorrelated random variables. The distributions of failure time of the units follow negative exponential while that of inspection and repair times are taken as arbitrary. The semi-Markov process and regenerative point technique are adopted to drive the expressions for some reliability and economic measures. The numerical results for MTSF and profit function considering particular values of various costs and parameters have been obtained to high light the results graphically.

Keywords

Priority, Degradation, Feasibility of Repair and Cost analysis