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Excerpt from Heavy Traffic Analysis of Polling Systems in Tandem Our results reveal several insights about system behavior. Expressions quantify exactly how the service cycles at a station are forced to synchronize with the service cycles at its upstream neighbor, and how this effect ripples through the tandem network. Since 71, 2 for all i by it follows by that Cji is nondecreasing in i for j A, B; that is, cycle lengths, and hence batch sizes, tend to be larger at downstream stations. Moreover, gal is the same for all i, so that the cycle lengths of each customer type grow in the same proportions as one moves downstream. Also, the virtual workload is very different for i 1 than for station 1: 21-1 is uniformly distributed, but Zji takes on n, 1 distinct values for i 1. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.

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