Optimal control of a large dam, taking into account the water costs

Details Optimal control of a large dam, taking into account the water costs Optimal control of a large dam, taking into account the water costs

2007-01-16

arxiv.org/abs/math/0701458v3

Mathematics

Probability

18 pages, 1 table. Revision is submitted

Scientific paper

Consider a dam model, $L^{upper}$ and $L^{lower}$ are upper and, respectively, lower levels, $L = L^{upper}-L^{lower}$ is large and if the level of water is between these bounds, then the dam is said to be in a normal state. Passage across lower or upper levels leads to damage. Let $J_1=j_1L$ and $J_2=j_2L$ denote the damage costs per time unit of crossing the lower and, correspondingly, upper level where $j_1$ and $j_2$ are given real constants. It is assumed that input stream of water is described by a Poisson process, while the output stream is state dependent. Let $L_t$ denote the level of water in time $t$, and $c_{L_t}$ denote the water cost at level $L_t$ ($L^{lower}L^{upper}\}$ and $q_i=\lim_{t\to\infty}\mathbf{P}\{L_t=i\}$ ($L^{lower}

Affiliated with

Also associated with

No associations

Rating

Optimal control of a large dam, taking into account the water costs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimal control of a large dam, taking into account the water costs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal control of a large dam, taking into account the water costs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120366