On the Time to First Overflow in Dams with Inputs Forming a Markov Chain.
STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH
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A finite dam is studied in which the net input in each period, i.e. the excess of input over demand, is a function of a Markov chain. By using a martingale, the joint distribution of the time to first overflow and the cumulative unsatisfied demand until overflow is investigated. The probability of overflow before the unsatisfied demand exceeds a fixed level is also considered. Author
- Statistics and Probability