On Random Walks with Barriers and their Application to Queues

The n-step transition probabilities of a random walk with two barriers, each being either reflecting or absorbing are considered on the basis of a simple renewal argument. The relation of these walks to queueing problems is pointed out and the distributions of the queue length in the finite capacity...

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Bibliographic Details
Main Authors: Böhm, Walter, Mohanty, Sri Gopal
Format: Others
Language:en
Published: Department of Statistics and Mathematics, WU Vienna University of Economics and Business 1991
Online Access:http://epub.wu.ac.at/484/1/document.pdf