The First Comprehensive Book on the Subject
Focusing on the underlying structure of a system, Optimal Design of Queueing Systems explores how to set the parameters of a queueing system, such as arrival and service rates, before putting it into operation. It considers various objectives, comparing individually optimal (Nash equilibrium), socially optimal, class optimal, and facility optimal flow allocations.
After an introduction to basic design models, the book covers the optimal arrival rate model for a single-facility, single-class queue as well as dynamic algorithms for finding individually or socially optimal arrival rates and prices. It then examines several special cases of multiclass queues, presents models in which the service rate is a decision variable, and extends models and techniques to multifacility queueing systems. Focusing on networks of queues, the final chapters emphasize the qualitative properties of optimal solutions.
Written by a long-time, recognized researcher on models for the optimal design and control of queues and networks of queues, this book frames the issues in the general setting of a queueing system. It shows how design models can control flow to achieve a variety of objectives.
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Over the last 30 years, research on optimal design and control of queuing systems has flowered. However, although many books exist on descriptive queuing theory, until now, none has addressed the topic from the perspective of optimization. Emphasizing economic interpretation of the output of optimization models, this text offers a thorough examination of this important and rapidly expanding area. With established applications in manufacturing and telecommunications and new applications continually being discovered, this book becomes a vital reference for professionals and an outstanding textbook for operations research, computer science, and electrical engineering students.
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