Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

k-OUT-OF-n-SYSTEM WITH REPAIR : T-POLICY

  • Krishnamoorthy, A. (Department of Mathematics, Cochin University of Science and Thchnology) ;
  • Rekha, A. (Department of Mathematics, MEASS College)
  • Published : 2001.01.01

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Abstract

We consider a k-out-of-n system with repair under T-policy. Life time of each component is exponentially distributed with parameter $\lambda$. Server is called to the system after the elapse of T time units since his departure after completion of repair of all failed units in the previous cycle or until accumulation of n-k failed units, whichever occurs first. Service time is assumed to be exponential with rate ${\mu}$. T is also exponentially distributed with parameter ${\alpha}$. System state probabilities in finite time and long run are derived for (i) cold (ii) warm (iii) hot systems. Several characteristics of these systems are obtained. A control problem is also investigated and numerical illustrations are provided. It is proved that the expected profit to the system is concave in ${\alpha}$ and hence global maximum exists.

Keywords

References

  1. Trabajos De Investigation Operativa v.7 no.1 A unified cost function for M/G/1 queueing systems with removable server J.R.Artalejo
  2. k-out-of-n system with repair: The N-Policy,(Communicated to performance Evaluation) A.Krishnamoorthy;P.V.Ushakumari;B.Lakshmi
  3. Stochastic modeling-An algorithmic approach H.J.Tijms
  4. The N-policy Proc.Ⅱ International symposium on Semi-Markov processes and their applications k-out-of-n system with general repair P.V.Ushakumari;A.Krishnamoorthy