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Excerpt from A Multiclass Hybrid Production Center in Heavy Traffic Figure 2 suggests that we model the demand processes of make-to-stock products by the service processes at stations 1 to d. Strictly speaking, a service process characterized by independent and identically distributed service times may not be a faithful representation of the demand process because the first inter-demand time following a period of inventory depletion (during which demands are lost) typically is not statistically similar to other inter demand intervals. Nonetheless, Nguyen (1994) noted that the difference is not significant in the sense that the two systems closely approximate each other under heavy traffic conditions (see also Iglehart and Whitt We thus proceed with our setup, in which case it will be convenient to define rm, 5 Azl, with the interpretation that mk is the mean service time at station I: for 1 k d. 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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