STOCHASTIC ANALYSIS OF A COMPLEX SYSTEM WITH CORRELATED WORKING AND REST PERIOD OF REPAIRMAN

  • Ram Kishan Department of Statistics, D. A. V. (P.G.) College, Muzaffarnagar, India
  • Manish Kumar Department of Statistics, D. A. V. (P.G.) College, Muzaffarnagar, India
Keywords: Series configuration, Markov-renewal process, Regenerative point technique MTSF

Abstract

This paper deals with the stochastic analysis of a complex system with correlated working and rest time of repairman. The system consists of two subsystems, say A and B connected in series. Subsystem A consists of two identical units whereas subsystem B consists of only one unit. The operation of only one unit of subsystem A with subsystem B is sufficient to do the job. The failure time distributions of the units are taken exponential while the repair time distributions are assumed to be general. Various measures of system effectiveness useful to system managers are obtained by using regerative point technique. Graphical study of the system through MTSF and profit function is also carried out.

 

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Published
2010-08-31
Section
Articles