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

Authors

  • 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

Downloads

Download data is not yet available.

References

Dhillon, B.S. and S.N. Rayapati (1986). A Complex System Reliability

Evaluation Method, International Journals of Reliability Engineering, Vol. 16,

p. 163-177.

Gupta, P. P. and Kumar, A. (1986). Reliability and MTTF Analysis of a non-

reparable Parallel redundant complex system under hardware and human

failure, Micro electron Reliab., Vol. 26(2), p. 229-234.

Gupta, R. and Ram Kishan (1996). Cost-benefit analysis of a complex system

with correlated failures and repairs, J. of Quality in Maintenance Engineering,

Vol. 2(2), p. 50-59.

Gupta, R., Kumar, P. and Sharma, V. (2006). Cost benefit analysis of a three

unit complex system with correlated failures and repairs, RdE J. of

mathematical sciences, 1(3), p. 213-226.

Gupta, R. and Varshney, G. (2006). A Two Non-Identical Unit Parallel System

with Geometric Failure and Repair Time Distributions, IAPQR Trans., 31(2)

(Science), p. 127-139.

Gupta, R. and Varshney, G. (2007). A Two Identical Unit Parallel System with

Geometric Failure and Repair Time Distributions, J. of Comb. Info. and

Sciences, Vol. 32(1-4) , p. 127-136.

Rander, M.C., Kumar, A. and Tuteja, R.K. (1993). Reliability analysis of a

complex redundant system, Micro electron Reliab., 33(4), p. 459-462.

Downloads

Published

2014-06-02

How to Cite

Gupta, R. ., & Tyagi, A. . (2014). STOCHASTIC ANALYSIS OF A DISCRETE PARAMETRIC MARKOV CHAIN MODEL OF A COMPLEX SYSTEM CONSISTING OF TWO SUB-SYSTEMS. Journal of Reliability and Statistical Studies, 7(01), 143–155. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21615

Issue

Section

Articles