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Author : Hans-Ulrich Heiss
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (612 download)
Download or read book Optimal control of the single server queue with load-dependent overhead written by Hans-Ulrich Heiss and published by . This book was released on 1988 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H.-U. Heiss
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (897 download)
Download or read book Optimal Control of the Single Server Queue with Load-dependent Overhead written by H.-U. Heiss and published by . This book was released on 1988 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H.-U. Heiss
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (257 download)
Download or read book The Single Server Queue with Load-dependent Overhead and Finite Capacity written by H.-U. Heiss and published by . This book was released on 1989 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanford University. Applied Mathematics and Statistics Laboratory
Publisher :
ISBN 13 :
Total Pages : 63 pages
Book Rating : 4.:/5 (123 download)
Download or read book Optimal Control of a Single-server Queue with Balking and Reneging written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1970 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models are developed for intermittent operation of the service facility in a single-server queue with Poisson arrivals and general service-time distribution. When the server is inoperative for periods of time, customer losses from the queue by halting and reneging can be significant. To account for this effect, provisions for balking and reneging are included in the models. Balking is handled by a simple modification of the arrival rate parameters. Reneging, which is allowed only when the server is shut down, is characterized by a Poisson process whose rate is dependent on the number of customers in the queue. Two models are considered for the reneging process: the occurrence of the reneging event results in the loss of either all the customers in the queue (model I) or a single customer (model II). A number of applications for these models are discussed. A reward structure is specified and stationary optimal policies are found which maximize the expected discounted reward over an infinite horizon. The optimal policies have a simple critical-number characterization in terms of the number of customers in the queue. Algorithms for computing the critical numbers are described. (Author).
Author : Frank Curry Reed
Publisher :
ISBN 13 :
Total Pages : 514 pages
Book Rating : 4.:/5 (386 download)
Download or read book On the Optimal Control of Single Server Queueing Systems written by Frank Curry Reed and published by . This book was released on 1974 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dong-Wan Tcha
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (562 download)
Download or read book Optimal Control of single server queueing networks written by Dong-Wan Tcha and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanford University. Department of Operations Research
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.F/5 ( download)
Download or read book Optimal Control of Queueing Systems with Variable Number of Exponential Servers written by Stanford University. Department of Operations Research and published by . This book was released on 1969 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general switching cost model is formulated, and the problem of characterizing the optimal policy for a certain class of systems possessing such a cost structure is addressed. The class of systems studied can be described in terms of a pair of state descriptors which render the underlying probabilistic structure Markovian. The state descriptor consists of a one-dimensional variable, called exogenous, which is subject to explicit control by the decision-maker, and a vector of variables, called endogenous, which are only implicitly controlled by the decision-maker. The variable server M/M/c queueing system is an example. In such a system the exogenous variable is the number of servers employed (bounded above by c), and the endogenous variable is the number of customers in the system. The cost structure consists of two components: a variable cost of the system being in a particular state, assumed to be proportional to the length of time spent in that state, and a switching cost incurred instantaneously whenever the value of the exogenous variable is changed. A framework is developed for the analysis of systems where the length of time between review points is a random variable dependent on the state of the system. A characterization of the optimal control policy is given. The M/M/c queueing system is considered in detail and some attention is also given to the GI/M/c queueing system.
Author : Joseph Daniel Blackburn
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (386 download)
Download or read book Optimal Control of Queueing Systems with Intermittent Service written by Joseph Daniel Blackburn and published by . This book was released on 1971 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report describes models for single-server queueing systems with Poisson arrivals and general service-time distribution which are controlled by turning the server on-and-off. The objective is an operating policy which minimizes (maximizes) expected discounted cost (reward) over an infinite horizon. Four distinct models of intermittent service systems are considered. The cost structure for these models includes fixed costs for starting-up and shutting-down the service facility, a server operating cost per unit time and either a holding cost for waiting customers or a reward for serving customers. Two of the models are based on different assumptions concerning the holding cost function. The two remaining models include provisions for balking (an arriving customer chooses not to join the queue) and reneging (customers leaving the queue without being served). For each of the models, there exists an optimal policy characterized by a pair of critical numbers (N, M): turn the server on whenever the number of customers equals (or exceeds) M and turn the server off whenever the number of customers is less than or equal to N. Algorithms for computing the optimal critical numbers are described. (Author).
Author : Hongyu Chen
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Optimal Control for Parallel Queues with a Single Batch Server written by Hongyu Chen and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a queueing system with multiple Poisson arrival queues and a single batch server that has infinite capacity and a fixed service time. The problem is to allocate the server at each moment to minimize the long-run average waiting cost. We propose a Cost-Arrival Weighted (CAW) policy for this problem based on the structure of the optimal policy of a corresponding fluid model. We show that this simple policy enjoys a superior performance by numerical experiments.
Author : Peter Orkenyi
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (227 download)
Download or read book OPTIMALCONTROL OF THE M/G/1 QUEUEING SYSTEM WITH REMOVABLE SERVER-LINEAR AND NON-LINEAR HOLDING COST FUNCTION. written by Peter Orkenyi and published by . This book was released on 1976 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report considers the M/G/1 queueing system with removable server. The cases of linear and non-linear customer holding cost functions are both considered. Non-instantaneous start-up times are allowed. The problem is to find an optimal policy for turning the server on and off. The optimality criteria considered are the average cost criterion, the undiscounted cost criterion and the discounted cost criterion. A certain class of simple policies, the hysteretic policies, is considered. Natural hysteretic policies and non- degenerate hysteretic policies are introduced. It is shown that there is a natural hysteretic policy which is average optimal, and that if the start-up times are instantaneous or the holding cost function convex, then there is a natural hysteretic policy which is undiscounted optimal. When discounting is used, the results are not as strong, except for the case where the holding cost function is linear. For the non-linear case we still obtain certain fairly weak sufficient conditions for a natural hysteretic policy to be optimal.
Author : Xiuli Chao
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (34 download)
Download or read book Optimal Intensity Control of Single-server Queueing Networks written by Xiuli Chao and published by . This book was released on 1991 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Amit Sanyal
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (231 download)
Download or read book Optimal Control of Heterogeneous Server Queueing Systems written by Amit Sanyal and published by . This book was released on 1990 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Narahari Umanath Prabhu
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (124 download)
Download or read book Optimal Control of Queueing Systems written by Narahari Umanath Prabhu and published by . This book was released on 1973 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonard Kleinrock
Publisher : Wiley-Interscience
ISBN 13 : 9780471555681
Total Pages : 0 pages
Book Rating : 4.5/5 (556 download)
Download or read book Queueing Systems written by Leonard Kleinrock and published by Wiley-Interscience. This book was released on 1996-04-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This manual contains all the problems to Leonard Kleinrock'sQueueing Systems, Volume One, and their solutions. The manualoffers a concise introduction so that it can be used independentlyfrom the text. Contents include: * A Queueing Theory Primer * Random Processes * Birth-Death Queueing Systems * Markovian Queues * The Queue M/G/1 * The Queue G/M/m * The Queue G/G/1
Author : Thomas G. Robertazzi
Publisher : Springer Science & Business Media
ISBN 13 : 1461211646
Total Pages : 418 pages
Book Rating : 4.4/5 (612 download)
Download or read book Computer Networks and Systems written by Thomas G. Robertazzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a first course in performance evaluation, this is a self-contained treatment covering all aspects of queuing theory. It starts by introducing readers to the terminology and usefulness of queueing theory and continues by considering Markovian queues in equilibrium, Littles law, reversibility, transient analysis, and computation, plus the M/G/1 queuing system. It then moves on to cover networks of queues, and concludes with techniques for numerical solutions, a discussion of the PANACEA technique, discrete time queueing systems and simulation, and stochastic Petri networks. The whole is backed by case studies of distributed queueing networks arising in industrial applications. This third edition includes a new chapter on self-similar traffic, many new problems, and solutions for many exercises.
Author :
Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.F/5 ( download)
Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl Johan Åström
Publisher : Princeton University Press
ISBN 13 : 069121347X
Total Pages : pages
Book Rating : 4.6/5 (912 download)
Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
