Accession Number : AD0660715
Title : INFINITE DAMS WITH INPUTS FORMING A MARKOV CHAIN.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS
Personal Author(s) : Khan,M. S. Ali ; Gani,J.
Report Date : 19 JUL 1967
Pagination or Media Count : 24
Abstract : The report considers an infinite storage system in discrete time fed by inputs X sub t = 0, 1, ... ,r in the intervals (t, t+1) such that these form a positively regular Markov chain with a finite number of states. The release at the end of each interval is 1 or 0 depending on whether the dam content is positive or zero. Probabilities of first emptiness and of emptiness are found, and from these the probabilities of the dam content at time t can be evaluated. The report concludes with some stationary results. (Author)
Descriptors : (*PROBABILITY, DAMS), (*DAMS, MATHEMATICAL MODELS), DIFFERENCE EQUATIONS, MATRICES(MATHEMATICS), STORAGE
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE