Delayed Random Walks.
TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES
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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.
- Operations Research