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Excerpt from The Trouble With Diversity: Fork-Join Networks With Heterogeneous Customer Population The paper is organized as follows. We give a formal description of the model in Section '2 and define the processes of interest Section 3. In order to state the heavy traffic limit results for these processes, one must refer to a sequence of systems. Section 4 defines such a sequence. Before stating the heavy traffic limit theorems, we introduce some additional notation and preliminary results in Section 5. The main theorems are then summarized in Section 6, where we also illustrate the heavy traffic limit theorem for several special cases. The proof of these theorems are then given in Section 7. Finally, some concluding remarks are given in Section 8. 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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