Optimal Control of an M/M/2 Queueing System with Finite Capacity Operating Under the Triadic (O, Q, N, M) Policy

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Optimal Control of an M/M/2 Queueing System with Finite Capacity Operating Under the Triadic (O, Q, N, M) Policy by : 王雅玲

Download or read book Optimal Control of an M/M/2 Queueing System with Finite Capacity Operating Under the Triadic (O, Q, N, M) Policy written by 王雅玲 and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control of a Queueing System with Variable Service Rates, Uncertain Customer Satisfaction, and Finite Waiting Room

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ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (217 download)

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Book Synopsis Optimal Control of a Queueing System with Variable Service Rates, Uncertain Customer Satisfaction, and Finite Waiting Room by : Frank C. Reed

Download or read book Optimal Control of a Queueing System with Variable Service Rates, Uncertain Customer Satisfaction, and Finite Waiting Room written by Frank C. Reed and published by . This book was released on 1974 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report considers optimal service policies for queueing systems in which customer satisfaction depends on the policy employed. The model has application to optimal defensive firing policies as the defense system becomes saturated. (Author).

Analysis of a Controllable M/M/2 Queueing System Operating Under the Triadic (O, K, N, M) Policy

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ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.:/5 (211 download)

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Book Synopsis Analysis of a Controllable M/M/2 Queueing System Operating Under the Triadic (O, K, N, M) Policy by : Hahn-Kyou Rhee

Download or read book Analysis of a Controllable M/M/2 Queueing System Operating Under the Triadic (O, K, N, M) Policy written by Hahn-Kyou Rhee and published by . This book was released on 1989 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Average Cost Operating Policy for an M/G/1 Queueing System with Removable Server and Several Priority Classes

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ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Optimal Average Cost Operating Policy for an M/G/1 Queueing System with Removable Server and Several Priority Classes by : Stanford University. Applied Mathematics and Statistics Laboratory

Download or read book Optimal Average Cost Operating Policy for an M/G/1 Queueing System with Removable Server and Several Priority Classes written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1971 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: An optimal operating policy is characterized for the infinite horizon average cost case of a queueing control problem with the following properties: N priority classes of customers each arriving according to an independent Poisson process, a holding charge of h(i) per customer of class i per unit time and a single server who provides independent identically distributed service times and who may be turned on at arrival epochs or off at departure epochs. The server costs w per unit time to operate and there are fixed charges of S(sub 1) and S(sub 2) for turning the server on and off respectively. It is shown that a stationary optimal policy exists which either (1) leaves the server on at all times or (2) turns the server off when the system is empty. In the latter case if the state of the system is represented as a point in N-dimensional Euclidean space, the server is turned on at the first time when the state reaches a boundary and this boundary is a hyperplane of dimension N-1. (Author).

A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (819 download)

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Book Synopsis A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity by : 柯昭川

Download or read book A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity written by 柯昭川 and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Controlled Queueing Systems

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Publisher : CRC Press
ISBN 13 : 9780849328626
Total Pages : 312 pages
Book Rating : 4.3/5 (286 download)

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Book Synopsis Controlled Queueing Systems by : Mikhail Yu. Kitaev

Download or read book Controlled Queueing Systems written by Mikhail Yu. Kitaev and published by CRC Press. This book was released on 1995-08-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Control of Queueing Systems with Variable Number of Exponential Servers

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ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Optimal Control of Queueing Systems with Variable Number of Exponential Servers by : Stanford University. Department of Operations Research

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.

Optimal Control of Queueing Systems with Intermittent Service

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ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (386 download)

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Book Synopsis Optimal Control of Queueing Systems with Intermittent Service by : Joseph Daniel Blackburn

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).

Optimal Control of Queueing Systems

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ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (124 download)

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Book Synopsis Optimal Control of Queueing Systems by : Narahari Umanath Prabhu

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:

Optimal Control of Tandem Queues

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ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Optimal Control of Tandem Queues by : Raul Eric Talan

Download or read book Optimal Control of Tandem Queues written by Raul Eric Talan and published by . This book was released on 1973 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dissertation resolves the problem of finding the optimal dynamic operating policies for queueing systems consisting of two stations, in series, coupled by a finite intermediate storage when it is possible to vary the average service rates of the two facilities. Random service times ar assumed in each of the facilities with the current average service rate as a parameter of an exponential probability distribution governing each service time. (Modified author abstract).

Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic

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ISBN 13 :
Total Pages : 59 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic by : Lefschetz Center for Dynamical Systems

Download or read book Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic written by Lefschetz Center for Dynamical Systems and published by . This book was released on 1988 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: We treat the 'approximately' optimal control problem for tandem queueing or production networks (with local feedback allowed) under heavy traffic. The buffers (scaled with traffic) are finite. The controls allow various inputs, connecting links and the processors to be shut down or opened, in order to manage the system. The service and arrival rates, as well as the routing probabilities can also be controlled, and the system statistics can depend on the system state (scaled buffer occupancies). The associated costs involve holding costs, costs for shutting off/on the links or processors and the opportunity cost for lost production. It is shown that the (scaled) controlled system converges weakly (in an appropriate sense) to a controlled limit 'reflected' diffusion. In the rescaled time, the actions of the controllers lead to multiple 'simultaneous' impulses in the limit problem. Thus we have a non-standard limit control problem, and the usual methods of weak convergence for systems under heavy traffic must be modified. Since the optical or nearly optimal controls for the physical process are usually not possible to get, it is of considerable interest to know whether an optimal or nearly optimal control for the limit process is also nearly optimal for the physical system with heavy traffic. This is shown to be true, under reasonable conditions. Although the limit control problem is non-standard and there is little available theory concerning it, acceptable numerical procedures are available. Keywords: Numerical methods for stochastic control.

Optimal Control of a Removable and Non-reliable Server in an Infinite and a Finite M/H2/1 Queueing System

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ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (15 download)

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Book Synopsis Optimal Control of a Removable and Non-reliable Server in an Infinite and a Finite M/H2/1 Queueing System by : Kuo-hsiung Wang

Download or read book Optimal Control of a Removable and Non-reliable Server in an Infinite and a Finite M/H2/1 Queueing System written by Kuo-hsiung Wang and published by . This book was released on 1996 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control of a Tandem Queuing System with Finite Buffers

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Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.:/5 (224 download)

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Book Synopsis Optimal Control of a Tandem Queuing System with Finite Buffers by : Arun Anantharaman

Download or read book Optimal Control of a Tandem Queuing System with Finite Buffers written by Arun Anantharaman and published by . This book was released on 1990 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Optimal Control of a Queueing Process

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis The Optimal Control of a Queueing Process by : M. Yadin

Download or read book The Optimal Control of a Queueing Process written by M. Yadin and published by . This book was released on 1969 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Controlled queueing processes have been studied by several authors. The common model is a one-station queueing system at which customers arrive at a steady rate. The important feature is that management can vary the capacity of the service station according to the queue size, and thus, by increasing or decreasing the service intensity, control the queue size. The present paper describes the problem of determining the optimal control policy. Intervals are considered of service intensity values (not discrete sets). The arrival of customers at the service station is assumed to be a homogeneous Poisson process with a known arrival intensity. The service time is assumed to be exponentially distributed, with an intensity which can be changed and controlled. The cost structure of the system is discussed. There are three main cost components. The orientation (or set-up) cost of changing the service intensity; the service cost; and the queueing cost. The policy of optimal control is derived with an infinite horizon, which minimizes the expected total discounted future costs. This is carried out by setting and solving the proper Dynamic Programming functional equations.

Optimal Control of a Queueing System with Variable Service Rates, Uncertain Customer Satisfaction, and Finite Waiting Room

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (217 download)

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Book Synopsis Optimal Control of a Queueing System with Variable Service Rates, Uncertain Customer Satisfaction, and Finite Waiting Room by : F. C. Reed

Download or read book Optimal Control of a Queueing System with Variable Service Rates, Uncertain Customer Satisfaction, and Finite Waiting Room written by F. C. Reed and published by . This book was released on 1974 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report considers optimal service policies for queueing systems in which customer satisfaction depends on the policy employed. The model has application to optimal defensive firing policies as the defense system becomes saturated. (Author).

Optimal Control for Parallel Queues with a Single Batch Server

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Optimal Control for Parallel Queues with a Single Batch Server by : Hongyu Chen

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.

Optimal Design of Queueing Systems

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Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584880769
Total Pages : 384 pages
Book Rating : 4.8/5 (87 download)

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Book Synopsis Optimal Design of Queueing Systems by : Shaler Stidham Jr.

Download or read book Optimal Design of Queueing Systems written by Shaler Stidham Jr. and published by Chapman and Hall/CRC. This book was released on 2009-03-27 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.