Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network (Classic Reprint) - Hardcover

Name: Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network (Classic Reprint)
Author: Vin Nguyen
ISBN: 9780332448619

Vin Nguyen

9780332448619: Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network (Classic Reprint)

Hardcover

ISBN 10: 0332448614 ISBN 13: 9780332448619

Publisher: Forgotten Books, 2018

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Explore how complex queueing networks behave under pressure—and learn precise ways to estimate performance when demand runs hot.

This book develops heavy-traffic limits for a two-station mixed queueing network, blending open and closed customer flows into a single, tractable framework.

In clear, accessible terms, it explains how diffusion approximations and Brownian motion models can describe workloads, throughputs, and related performance measures. The work ties theory to practical estimation, showing how refined Brownian limits lead to accurate predictions even in challenging, multitiered systems.

Shows how workload processes can be approximated by reflected Brownian motion on finite intervals.
Derives relationships between open and closed customer components and their impact on station performance.
Introduces refinements that align Brownian limits with exact solutions in special cases.
Offers guidance on applying these methods to multiclass networks with feedback and make-to-order/stock considerations.

Ideal for readers of advanced operations research, stochastic processes, and performance modeling who want a rigorous yet practical approach to diffusion-based queueing analysis.

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