Accession Number : AD0750688

Title :   Limit Theorems for Finite Dams.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Kennedy,Douglas P.

Report Date : AUG 1972

Pagination or Media Count : 18

Abstract : Limit distributions are given for both the dam content at time n and the limiting dam content in the nth dam, as n approaches infinity, for a sequence of finite dams in discrete time, under assumptions which correspond to the various cases of heavy traffic in queueing theory. The proof employed is an application of the theory of weak convergence of probability measures. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, CONVERGENCE), (*DAMS, QUEUEING THEORY), MATHEMATICAL MODELS, TOPOLOGY, RANDOM VARIABLES, TRAFFIC, MEASURE THEORY, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE