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Optimal Control Of A Single Server Queue With Balking And Reneging


Optimal Control Of A Single Server Queue With Balking And Reneging
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Optimal Control Of A Single Server Queue With Balking And Reneging


Optimal Control Of A Single Server Queue With Balking And Reneging
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Author : Stanford University. Applied Mathematics and Statistics Laboratory
language : en
Publisher:
Release Date : 1970

Optimal Control Of A Single Server Queue With Balking And Reneging written by Stanford University. Applied Mathematics and Statistics Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.


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).



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).



On The Optimal Control Of Single Server Queueing Systems


On The Optimal Control Of Single Server Queueing Systems
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Author : Frank Curry Reed
language : en
Publisher:
Release Date : 1974

On The Optimal Control Of Single Server Queueing Systems written by Frank Curry Reed and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematical optimization categories.




Mathematical Methods In Queueing Theory


Mathematical Methods In Queueing Theory
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Author : A. B. Clarke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Methods In Queueing Theory written by A. B. Clarke 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 Mathematics categories.


On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab lishments participated in the Conference. A list of these partici pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.



Statistical Modeling And Applications On Real Time Problems


Statistical Modeling And Applications On Real Time Problems
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Author : Chandra Shekhar
language : en
Publisher: CRC Press
Release Date : 2024-06-06

Statistical Modeling And Applications On Real Time Problems written by Chandra Shekhar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-06 with Technology & Engineering categories.


In the dynamic landscape of modern data analysis, this curated guide by global experts explores the latest in statistical methodologies, modeling techniques, and optimization strategies. This comprehensive text offers insights into diverse fields such as engineering, economics, medicine, and agriculture, addressing real-world challenges. It delves into the intricacies of the Lomax distribution under a Type II censoring scheme, exploring various loss functions. The compilation uncovers estimators for population proportion, product of two population means, and more, supported by empirical and simulation studies. Additionally, it scrutinizes the prevalence of caesarean section deliveries in India, correlating with socio-economic factors. This book · Traverses diverse fields for insights into real-world challenges. · Delves into the intricacies of the Lomax distribution under a Type II censoring scheme. · Uncovers estimators supported by empirical and simulation studies. · Scrutinizes the prevalence of caesarean section deliveries in India, correlating with socio-economic factors. This compilation promises a holistic exploration of advanced statistical and optimization methods, offering readers valuable insights into their pragmatic applications across a spectrum of real-world issues.



Applications Of Mathematical Modeling Machine Learning And Intelligent Computing For Industrial Development


Applications Of Mathematical Modeling Machine Learning And Intelligent Computing For Industrial Development
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Author : Madhu Jain
language : en
Publisher: CRC Press
Release Date : 2023-06-07

Applications Of Mathematical Modeling Machine Learning And Intelligent Computing For Industrial Development written by Madhu Jain and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-07 with Computers categories.


The text focuses on mathematical modeling and applications of advanced techniques of machine learning, and artificial intelligence, including artificial neural networks, evolutionary computing, data mining, and fuzzy systems to solve performance and design issues more precisely. Intelligent computing encompasses technologies, algorithms, and models in providing effective and efficient solutions to a wide range of problems, including the airport’s intelligent safety system. It will serve as an ideal reference text for senior undergraduate, graduate students, and academic researchers in fields that include industrial engineering, manufacturing engineering, computer engineering, and mathematics. The book: Discusses mathematical modeling for traffic, sustainable supply chain, vehicular Ad-Hoc networks, and internet of things networks with intelligent gateways Covers advanced machine learning, artificial intelligence, fuzzy systems, evolutionary computing, and data mining techniques for real- world problems Presents applications of mathematical models in chronic diseases such as kidney and coronary artery diseases Highlights advances in mathematical modeling, strength, and benefits of machine learning and artificial intelligence, including driving goals, applicability, algorithms, and processes involved Showcases emerging real-life topics on mathematical models, machine learning, and intelligent computing using an interdisciplinary approach The text presents emerging real-life topics on mathematical models, machine learning, and intelligent computing in a single volume. It will serve as an ideal text for senior undergraduate students, graduate students, and researchers in diverse fields, including industrial and manufacturing engineering, computer engineering, and mathematics.



Mathematical Modeling And Computation Of Real Time Problems


Mathematical Modeling And Computation Of Real Time Problems
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Author : Rakhee Kulshrestha
language : en
Publisher: CRC Press
Release Date : 2021-01-04

Mathematical Modeling And Computation Of Real Time Problems written by Rakhee Kulshrestha and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-04 with Mathematics categories.


This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.



Stochastic Models In Reliability Network Security And System Safety


Stochastic Models In Reliability Network Security And System Safety
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Author : Quan-Lin Li
language : en
Publisher: Springer Nature
Release Date : 2019-10-21

Stochastic Models In Reliability Network Security And System Safety written by Quan-Lin Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-21 with Computers categories.


This book is dedicated to Jinhua Cao on the occasion of his 80th birthday. Jinhua Cao is one of the most famous reliability theorists. His main contributions include: published over 100 influential scientific papers; published an interesting reliability book in Chinese in 1986, which has greatly influenced the reliability of education, academic research and engineering applications in China; initiated and organized Reliability Professional Society of China (the first part of Operations Research Society of China) since 1981. The high admiration that Professor Cao enjoys in the reliability community all over the world was witnessed by the enthusiastic response of each contributor in this book. The contributors are leading researchers with diverse research perspectives. The research areas of the book iclude a broad range of topics related to reliability models, queueing theory, manufacturing systems, supply chain finance, risk management, Markov decision processes, blockchain and so forth. The book consists of a brief Preface describing the main achievements of Professor Cao; followed by congratulations from Professors Way Kuo and Wei Wayne Li, and by Operations Research Society of China, and Reliability Professional Society of China; and further followed by 25 articles roughly grouped together. Most of the articles are written in a style understandable to a wide audience. This book is useful to anyone interested in recent developments in reliability, network security, system safety, and their stochastic modeling and analysis.



Modeling Decisions For Artificial Intelligence


Modeling Decisions For Artificial Intelligence
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Author : Vicenç Torra
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-30

Modeling Decisions For Artificial Intelligence written by Vicenç Torra 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 2007-07-30 with Business & Economics categories.


Decision modeling is a key area in the developing field of AI, and this timely work connects researchers and professionals with the very latest research. It constitutes the refereed proceedings of the 4th International Conference on Modeling Decisions for Artificial Intelligence, held in Kitakyushu, Japan, in August 2007. The 42 revised full papers presented together with 4 invited lectures are devoted to theory and tools, as well as applications.



Optimal Control Of A Signalized Intersection


Optimal Control Of A Signalized Intersection
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Author : Shaler Stidham
language : en
Publisher:
Release Date : 1970

Optimal Control Of A Signalized Intersection written by Shaler Stidham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Queuing theory categories.