Isbn: 9781332245468 - fluid and diffusion approximations of a two-station mixed queueing network (classic reprint) (3 resultados)

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condición: New. Print on Demand. This book presents a mathematically rigorous framework to analyze fluid and diffusion approximations of a two-station mixed queueing network with two types of customers. The author employs established results from queueing theory and applies them to a specific queueing network model that represents manufacturing systems where some tasks are done on a first-come, first-served basis (open customers) and other tasks circulate between stations (closed customers). Specifically, the author proves that as the number of closed customers grows large relative to the rate at which open customers arrive and receive service, the workload process at station one, which represents the manufacturing center, can be approximated by a one-dimensional reflected Brownian motion (RBM) on a finite interval. Furthermore, the author shows that the workload due to open and closed customers at station one are deterministically related and live in fixed proportions. These results have implications for the design and analysis of manufacturing systems, as they provide a way to approximate the behavior of complex systems using simpler models that are easier to analyze. The author brings their expertise in queueing theory and stochastic processes to bear on the subject. The result is a valuable resource for researchers and practitioners interested in the mathematical analysis of manufacturing systems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…