[ $P_{\lambda,;,T}^M-policy$ ] of a finite dam with both continuous and Jumpwise inputs

  • Lim Kyung Eun (Department of Statistics, Sookmyung Women's University) ;
  • Baek Jee Seon (Department of Statistics, Sookmyung Women's University) ;
  • Lee Eui Yong (Department of Statistics, Sookmyung Women's University)
  • 발행 : 2004.11.01

초록

A finite dam under $P_{\lambda,;,T}^M-policy$ is considered, where the input of water is formed by a Wiener process subject to random jumps arriving according to a Poisson process. Explicit expression is deduced for the stationary distribution of the level of water. And the long-run average cost per unit time is obtained after assigning costs to the changes of release rate, a reward to each unit of output, and a penalty which is a function of the level of water in the reservoir.

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