Periodic Inspection of a Random Shock Model

  • Lee, Eui Yong (Dept. of Mathematics, Pohang University of Science and Technology) ;
  • Lee, Jiyeon (Dept. of Statistics, Yeungnam University) ;
  • Sohn, Joong Kweon (Dept. of Statistics, Kyungpook National University)
  • Published : 1996.09.30

Abstract

A Markovian stochastic model for a system subject to random shocks is considered. Each shock arriving according to a Poisson process decreases the state of the system by a random amount. A repairman arrives at the system periodically for inspection and repairs the system only if the state is below a threshold. Costs are assigned to each inspection of the repairman, to each repair, and to the system being in bad states below the threshold. The expected long run average cost is obtained and compared with that of the random inspection introduced by Lee and Lee(1994).

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Acknowledgement

Supported by : Ministry of Education