The control of a finite dam with penalty cost function: Markov input rate

Journal of Applied Probability - Tập 24 Số 2 - Trang 457-465 - 1987
F. A. Attia1
1Kuwait University

Tóm tắt

The long-run average cost per unit time of operating a finite dam controlled by a policy (Lam Yeh (1985)) is determined when the cumulative input process is the integral of a Markov chain. A penalty cost which accrues continuously at a rate g(X(t)), where g is a bounded measurable function of the content, is also introduced. An example where the input rate is a two-state Markov chain is considered in detail to illustrate the computations.

Từ khóa


Tài liệu tham khảo

10.1017/S0021900200023147

10.1017/S0021900200105145

10.1017/S0021900200036457

Karlin, 1981, A Second Course in Stochastic Processes.

10.1017/S0021900200037967