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Optimal Control Models For Multi Server Exponential Queueing Systems


Optimal Control Models For Multi Server Exponential Queueing Systems
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Optimal Control Models For Multi Server Exponential Queueing Systems


Optimal Control Models For Multi Server Exponential Queueing Systems
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Author : Harold John Schleef
language : en
Publisher:
Release Date : 1977

Optimal Control Models For Multi Server Exponential Queueing Systems written by Harold John Schleef and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Queuing theory categories.




Optimal Control Of Queueing Systems With Variable Number Of Exponential Servers


Optimal Control Of Queueing Systems With Variable Number Of Exponential Servers
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Author : Stanford University. Department of Operations Research
language : en
Publisher:
Release Date : 1969

Optimal Control Of Queueing Systems With Variable Number Of Exponential Servers written by Stanford University. Department of Operations Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.


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


Optimal Control Of Queueing Systems With Intermittent Service
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Author : Joseph Daniel Blackburn
language : en
Publisher:
Release Date : 1971

Optimal Control Of Queueing Systems With Intermittent Service written by Joseph Daniel Blackburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematical optimization categories.


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 For Parallel Queues With A Single Batch Server


Optimal Control For Parallel Queues With A Single Batch Server
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Author : Hongyu Chen
language : en
Publisher:
Release Date : 2022

Optimal Control For Parallel Queues With A Single Batch Server written by Hongyu Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.


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.



Performance Limits In Communication Theory And Practice


Performance Limits In Communication Theory And Practice
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Author : J.K. Skwirzynski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Performance Limits In Communication Theory And Practice written by J.K. Skwirzynski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Proceedings of the NATO Advanced Study Institute on Performance Limits in Communication: Theory and Practice, Il Ciocco, Castelvecchio, Pascoli, Tuscany, Italy, July 7-19, 1986



Optimal Control Of Queueing Systems With Variable Number Of Exponential Servers


Optimal Control Of Queueing Systems With Variable Number Of Exponential Servers
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Author : James T. McGill
language : en
Publisher:
Release Date : 1969

Optimal Control Of Queueing Systems With Variable Number Of Exponential Servers written by James T. McGill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Control theory categories.




Optimal Control Of Queueing Systems


Optimal Control Of Queueing Systems
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Author : Narahari Umanath Prabhu
language : en
Publisher:
Release Date : 1973

Optimal Control Of Queueing Systems written by Narahari Umanath Prabhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Queuing theory categories.




Optimal Control Of A Multiserver Queueing System With Heterogeneous Servers


Optimal Control Of A Multiserver Queueing System With Heterogeneous Servers
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Author : Ioannis Viniotis
language : en
Publisher:
Release Date : 1985

Optimal Control Of A Multiserver Queueing System With Heterogeneous Servers written by Ioannis Viniotis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.




Queueing Theory 2


Queueing Theory 2
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Author : Vladimir Anisimov
language : en
Publisher: John Wiley & Sons
Release Date : 2021-03-05

Queueing Theory 2 written by Vladimir Anisimov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-05 with Mathematics categories.


The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This second volume includes eight chapters written by experts wellknown in their areas. The book conducts a stability analysis of certain types of multiserver regenerative queueing systems; a transient evaluation of Markovian queueing systems, focusing on closed-form distributions and numerical techniques; analysis of queueing models in service sectors using analytical and simulation approaches; plus an investigation of probability distributions in queueing models and their use in economics, industry, demography and environmental studies. This book also considers techniques for the control of information in queueing systems and their impact on strategic customer behavior, social welfare and the revenue of monopolists. In addition, applications of maximum entropy methods of inference for the analysis of a stable M/G/1 queue with heavy tails, and inventory models with positive service time - including perishable items and stock supplied using various algorithmic control policies ((s; S); (r;Q), etc.).



Optimal Control Of Arrival Process In Queues With Exponential Servers


Optimal Control Of Arrival Process In Queues With Exponential Servers
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Author : Himanshu I. Patel
language : en
Publisher:
Release Date : 1974

Optimal Control Of Arrival Process In Queues With Exponential Servers written by Himanshu I. Patel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.