Accession Number : AD0752755

Title :   Delayed Random Walks.

Descriptive Note : Research rept.,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES

Personal Author(s) : Lemoine,Austin J.

Report Date : SEP 1972

Pagination or Media Count : 36

Abstract : By a delayed random walk is meant a partial sum process of independent random variables in which the first N summands (N random) are distributed F1,...,FN, respectively, while all remaining summands are distributed FO, where (Fk, k = or > O) is a sequence of proper distribution functions on the real line. Delayed random walks arise naturally in the study of certain generalized single server queues. The author is concerned primarily with optimal times of the process such as the epoch of first entry into the negative half-line, because these are of great interest for queueing.

Descriptors :   (*QUEUEING THEORY, *STOCHASTIC PROCESSES), OPTIMIZATION, RANDOM VARIABLES, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE