Equilibrium Results for a Pair of Coupled Discrete-Time Queues (Classic Reprint)

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Excerpt from Equilibrium Results for a Pair of Coupled Discrete-Time QueuesThe following discrete-time queueing problem arises in the design of parallel computer networks (see [5] for details). There are two queues and two independent input lines. A customer arriving on either line can choose to join either queue with probability The arrivals and service occur at discrete time steps. At each step there is a probability p of an arrival on each line, and one customer on each non-empty queue is served (fig. Therefore at each step 0, 1 or 2 customers can arrive on a given queu'e, but the arrivals on the two queues are not independent.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.