STOCHASTIC ANALYSIS OF A DISCRETE PARAMETRIC MARKOV CHAIN MODEL OF A COMPLEX SYSTEM CONSISTING OF TWO SUB-SYSTEMS

  • Rakesh Gupta Department of Statistics, Ch. Charan Singh University, Meerut-250004 (India)
  • Arti Tyagi Department of Statistics, Ch. Charan Singh University, Meerut-250004 (India)
Keywords: Transition Probabilities, Regenerative Point, Mean Sojourn Time, Reliability, MTSF, Discrete Parametric Markov Chain

Abstract

The paper deals with a stochastic model of a complex system composed of two subsystems- A and B. The subsystem-A consists of two identical units in series configuration whereas subsystem-B consists of only a single unit and is capable to keep the system operative when subsystem-A is failed. System failure occurs only when at least one unit of subsystem-A together with subsystem-B is failed. A single repairman is always available with the system to repair a failed unit of subsystem-A and B. Priority in operation as well as in repair is given to the unit of subsystem-A.

 

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Published
2014-06-11
Section
Articles