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| Author | : Jung-hyun Kim |
| Publisher | : |
| Total Pages | : 258 |
| Release | : 2008 |
| Genre | : |
| ISBN | : |
| Author | : Shaler Stidham Jr. |
| Publisher | : CRC Press |
| Total Pages | : 385 |
| Release | : 2009-03-27 |
| Genre | : Business & Economics |
| ISBN | : 142001000X |
The First Comprehensive Book on the SubjectFocusing 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 opt
| Author | : Shaler Stidham Jr. |
| Publisher | : Chapman and Hall/CRC |
| Total Pages | : 384 |
| Release | : 2009-03-27 |
| Genre | : Business & Economics |
| ISBN | : 9781584880769 |
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.
| Author | : Mikhail Yu. Kitaev |
| Publisher | : CRC Press |
| Total Pages | : 312 |
| Release | : 1995-08-30 |
| Genre | : Business & Economics |
| ISBN | : 9780849328626 |
This is the first book completely devoted to controlled queueing systems. The book gathers the newest results of the theory of Markov decision processes related to queueing models and demonstrates their applications to main types of control in queueing systems, including control of arrivals, control of service mechanism, and control of service discipline. Emphasis is placed on conditions providing further "good" structural properties of Markov optimal strategies such as monotonicity, threshold or hysteretic character, and priority. Each chapter is followed by exercises, most of which allow the reader to complete technical fragments of proofs. The text assumes the reader is familiar with standard courses of analysis, probability theory, and queueing theory.
| Author | : F. C. Reed |
| Publisher | : |
| Total Pages | : 98 |
| Release | : 1974 |
| Genre | : Difference equations |
| ISBN | : |
The report demonstrates the use of difference equations in solving optimal control problems in single server queueing systems. One obtains the discounted or relative cost function associated with a specific stationary policy by solving an appropriate system of difference equations. The policy improvement algorithm is applied parametrically leading to a characterization of the cost function satisfying the functional equation of optimality. It this cost function satisfies an appropriate sufficient condition, the associated stationary policy is optimal. (Modified author abstract).
| Author | : Frank C. Reed |
| Publisher | : |
| Total Pages | : 98 |
| Release | : 1974 |
| Genre | : |
| ISBN | : |
This report demonstrates the use of difference equations in solving optimal control problems in single server queueing systems. One obtains the discounted or relative cost function associated with a specific stationary policy by solving an appropriate system of difference equations. The policy improvement algorithm is applied parametrically leading to a characterization of the cost function satisfying the functional equation of optimality. If this cost function satisfies an appropriate sufficient condition, the associated stationary policy is optimal. The method of solution is illustrated by solving three queueing optimization problems. These problems include optimal control of the M/G/1 queue with intermittent service, a bulk queueing version of this same problem, and control of the M/M/1 queue with selection of running speed. All of these problems have been investigated by other authors. Results in this report believed to be new include a complete characterization of optimal policies for the optimal control of the M/G/1 queue in the discounted case, the extension of the optimal control of the bulk queueing problem from instantaneous to general service, and the determination of an optimal speed selection policy for the M/M/1 queue without solving a sequence of truncated problems.
| Author | : Linn I. Sennott |
| Publisher | : John Wiley & Sons |
| Total Pages | : 360 |
| Release | : 1998-09-30 |
| Genre | : Mathematics |
| ISBN | : 9780471161202 |
Eine Zusammenstellung der Grundlagen der stochastischen dynamischen Programmierung (auch als Markov-Entscheidungsprozeß oder Markov-Ketten bekannt), deren Schwerpunkt auf der Anwendung der Queueing-Theorie liegt. Theoretische und programmtechnische Aspekte werden sinnvoll verknüpft; insgesamt neun numerische Programme zur Queueing-Steuerung werden im Text ausführlich diskutiert. Ergänzendes Material kann vom zugehörigen ftp-Server abgerufen werden. (12/98)
| Author | : Runtong Zhang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 198 |
| Release | : 2005 |
| Genre | : Computers |
| ISBN | : 9781852338244 |
Every day we experience the annoyance of having to queue. The phenomenon is becoming more prevalent in our increasingly congested and urbanised society. Not only the visible queues in traffic jams, airport check in desks and supermarkets, but the more common invisible queues caused by voice calls and data packets in optical and wireless channels. Queues cost us time, money and resources; so what is the solution to our greater demand for services than there are facilities? Queuing control plays a crucial role in manufacturing and communication networks around the world. This pioneering approach, using fuzzy control to solve queuing control problems, determines explicit solutions to various types of control in queuing systems. The bulk of results have been developed over the past decade and are presented here together for the first time. 21 detailed case studies demonstrate an efficient departure from classical techniques. Unique work creating a new Research and Development topic. Multidisciplinary approach that will benefit researchers and students throughout the fields of artificial intelligence, operations research, optimal control, Internet techniques, communications and traffic control industries. Equipped with an extensive bibliography for easy reference and scope for further study. Existing practical problems, especially those that are unresponsive to conventional control techniques, are solved with the introduction of this novel approach. A systematic framework of the ‘fuzzy control of queuing networks’ is developed through each individual case.
| Author | : Attahiru Alfa |
| Publisher | : Springer |
| Total Pages | : 400 |
| Release | : 2015-12-26 |
| Genre | : Technology & Engineering |
| ISBN | : 1493934201 |
This book introduces the theoretical fundamentals for modeling queues in discrete-time, and the basic procedures for developing queuing models in discrete-time. There is a focus on applications in modern telecommunication systems. It presents how most queueing models in discrete-time can be set up as discrete-time Markov chains. Techniques such as matrix-analytic methods (MAM) that can used to analyze the resulting Markov chains are included. This book covers single node systems, tandem system and queueing networks. It shows how queues with time-varying parameters can be analyzed, and illustrates numerical issues associated with computations for the discrete-time queueing systems. Optimal control of queues is also covered. Applied Discrete-Time Queues targets researchers, advanced-level students and analysts in the field of telecommunication networks. It is suitable as a reference book and can also be used as a secondary text book in computer engineering and computer science. Examples and exercises are included.
| Author | : Yunho Hong |
| Publisher | : |
| Total Pages | : |
| Release | : 2007 |
| Genre | : |
| ISBN | : |
