Optimal Control of a Dam with a Compound Poisson Input

  • Lee, Ji-Yeon (Department of Statistics, Yeungnam University, Kyongsan 712-749) ;
  • Lee, Eui-Yong (Department of Mathematics, Pohang University of Science and Technology, San 31 Hyoja-dong, Pohang 790-784)
  • 발행 : 1997.03.01

초록

An infinite dam with a compound Poisson input having exponential jumps is considered. As an output policy, we adopt the $P_{\lambda}$$^{M}$ Policy. After assigning costs to the dam we obtain the long-rum average cost per unit time of operating the dam and find the optimal values of .lambda. and M which minimize the long-run average cost.t.

키워드

참고문헌

  1. Probability in the Engineering and Informational Sciences v.7 Two-stage release rule procedure in a regenerative dam Bar-Lev, S.K.;Perry, D.
  2. Probability in the Engineering and Informational Sciences v.1 A diffusion model for a system subject to continuous wear Baxter, L.A.;Lee, E.Y.
  3. The Theory of Stochastic Processes Cox, D.R.;Miller, H.D.
  4. Journal of Applied Probability v.11 Optimal control of finite dams: discrete(2-stage) output procedure Faddy, M.J.
  5. Journal of Applied Probability v.30 A model for a system subject to random shocks Lee, E.Y.;Lee, J.
  6. Stochastic modeling and the theory of queues Wolff, R.W.
  7. Journal of Applied Probability v.14 Two-stage output procedure of a finite dam Zuckerman, D.