
Accession Number : AD0771014
Title : Further Aspects of a SemiMarkov Storage Model,
Corporate Author : INDIANA UNIV BLOOMINGTON DEPT OF MATHEMATICS
Personal Author(s) : Senturia,Jerome ; Puri,Prem S.
Report Date : FEB 1973
Pagination or Media Count : 30
Abstract : In the paper a storage model whose inputs and demands form a sequence of random variables which proceeds according to a semiMarkov process is studied. In another paper the authors presented exact solutions for the content, Z(t), of the storage system at a time t > or = 0 in the special case of exponential distributions for each input and each demand. In the present paper is studied the exact results for the distribution of the time until first emptiness of the storage system for the special case of exponential distributions for each input and demand. In addition the special case in which the distribution of each input is general, while the distribution function of each demand is negative exponential is studied. In that case exact results for the distribution of Z(t) and for the distribution of time to first emptiness are given. (Author)
Descriptors : *Distribution functions, *Stochastic processes, Random variables, Theorems, Storage, Exponential functions
Subject Categories : Statistics and Probability
Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE