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Vacation Queueing Models


Vacation Queueing Models
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Vacation Queueing Models


Vacation Queueing Models
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Author : Naishuo Tian
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-11

Vacation Queueing Models written by Naishuo Tian 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 2006-10-11 with Mathematics categories.


This book discusses systematically the many variations of vacation policy. The book discusses a variety of typical vacation model applications. The presentation style is unique compared with the books published in the same field – a "theorem and proof" format is used. Also, this is the first time G1/M/1 multi-server vacation models, both continuous and discrete, and the optimization and control issues have been presented in book form.



Stochastic Models In Queueing Theory


Stochastic Models In Queueing Theory
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Author : Jyotiprasad Medhi
language : en
Publisher: Elsevier
Release Date : 2002-11-06

Stochastic Models In Queueing Theory written by Jyotiprasad Medhi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-06 with Mathematics categories.


This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts. - Current, clear and comprehensive coverage - A wealth of interesting and relevant examples and exercises to reinforce concepts - Reference lists provided after each chapter for further investigation



Queueing Theory 2


Queueing Theory 2
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Author : Vladimir Anisimov
language : en
Publisher: John Wiley & Sons
Release Date : 2021-04-27

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 2021-04-27 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.).



Queueing Theory For Telecommunications


Queueing Theory For Telecommunications
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Author : Attahiru Sule Alfa
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-28

Queueing Theory For Telecommunications written by Attahiru Sule Alfa 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 2010-07-28 with Computers categories.


Queueing theory applications can be discovered in many walks of life including; transportation, manufacturing, telecommunications, computer systems and more. However, the most prevalent applications of queueing theory are in the telecommunications field. Queueing Theory for Telecommunications: Discrete Time Modelling of a Single Node System focuses on discrete time modeling and illustrates that most queueing systems encountered in real life can be set up as a Markov chain. This feature is very unique because the models are set in such a way that matrix-analytic methods are used to analyze them. Queueing Theory for Telecommunications: Discrete Time Modelling of a Single Node System is the most relevant book available on queueing models designed for applications to telecommunications. This book presents clear concise theories behind how to model and analyze key single node queues in discrete time using special tools that were presented in the second chapter. The text also delves into the types of single node queues that are very frequently encountered in telecommunication systems modeling, and provides simple methods for analyzing them. Where appropriate, alternative analysis methods are also presented. This book is for advanced-level students and researchers concentrating on engineering, computer science and mathematics as a secondary text or reference book. Professionals who work in the related industries of telecommunications, industrial engineering and communications engineering will find this book useful as well.



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.



Retrial Queues


Retrial Queues
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Author : J.G.C. Templeton
language : en
Publisher: Taylor & Francis
Release Date : 2023-01-06

Retrial Queues written by J.G.C. Templeton and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-06 with Mathematics categories.


Based on the careful analysis of several hundred publications, this book uniformly describes basic methods of analysis and critical results of the theory of retrial queues. Chapters discuss: analysis of single-server retrial queues, including stationary and transient distribution of the number in the system, busy period, waiting time process, limit theorems, stochastic inequalities, traffic measurement multiserver retrial queues - ergodicity, explicit formulas, algorithmic solutions, limit theorems, approximations advanced single-server and multiserver retrial queues - models with priority subscribers, non-ersistent subscribers, finite source queues Lecturers, researchers, and students in probability, statistics, operations research, telecommunications, and computer systems modeling analysis will find Retrial Queues to be an invaluable resource.



Performance Prediction And Analytics Of Fuzzy Reliability And Queuing Models


Performance Prediction And Analytics Of Fuzzy Reliability And Queuing Models
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Author : Kusum Deep
language : en
Publisher: Springer
Release Date : 2018-08-26

Performance Prediction And Analytics Of Fuzzy Reliability And Queuing Models written by Kusum Deep and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-26 with Business & Economics categories.


This book presents the latest developments and breakthroughs in fuzzy theory and performance prediction of queuing and reliability models by using the stochastic modeling and optimization theory. The main focus is on analytics that use fuzzy logic, queuing and reliability theory for the performance prediction and optimal design of real-time engineering systems including call centers, telecommunication, manufacturing, service organizations, etc. For the day-to-day as well as industrial queuing situations and reliability prediction of machining parts embedded in computer, communication and manufacturing systems, the book assesses various measures of performance and effectiveness that can provide valuable insights and help arrive at the best decisions with regard to service and engineering systems. In twenty chapters, the book presents both theoretical developments and applications of the fuzzy logic, reliability and queuing models in a diverse range of scenarios. The topics discussed will be of interest to researchers, educators and undergraduate students in the fields of Engineering, Business Management, and the Mathematical Sciences.



Vacation Queueing Models With Server Breakdowns


Vacation Queueing Models With Server Breakdowns
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Author : V. M. Chandrasekaran
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2014-11-27

Vacation Queueing Models With Server Breakdowns written by V. M. Chandrasekaran and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-27 with categories.


An M[x]/G/1 retrial system with two phases of heterogeneous service, where the server is subjected to breakdown at each phase of service and operates under Bernoulli vacation policy is considered. In the proposed model, any arriving batch finding the server busy, breakdown or on vacation enters an orbit. Otherwise one customer from the arriving batch enters a service immediately while the rest join the orbit. After the completion of two phases of service, the server either goes for a vacation with probability p or may continue to serve the next customer with probability 1- p. At a vacation completion epoch, the server waits for the customers, if any in the orbit, or for new customers to arrive. While the server is working with any phase of service, it may breakdown at any instant and the service channel will fail for a short interval of time. We have constructed the mathematical model and the steady-state probability distribution of number of customers in the system when it is idle, busy, on vacation and under repair are derived. Finally, some system performance measures and the effect of various parameters measures are discussed.



Proceedings Of 2nd International Conference On Mathematical Modeling And Computational Science


Proceedings Of 2nd International Conference On Mathematical Modeling And Computational Science
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Author : Sheng-Lung Peng
language : en
Publisher: Springer Nature
Release Date : 2022-06-28

Proceedings Of 2nd International Conference On Mathematical Modeling And Computational Science written by Sheng-Lung Peng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-28 with Technology & Engineering categories.


The conference proceeding of ICMMCS 2021 presents most recent scientific and technological advances in the fields of engineering mathematics and computational science to strengthen the links in the scientific community. It is a collection of high-quality, peer-reviewed research papers presented at the Second International Conference on Mathematical Modeling and Computational Science (ICMMCS 2021), held online during October 29–30, 2021. The topics covered in the book are mathematical logic and foundations, numerical analysis, neural networks, fuzzy set theory, coding theory, higher algebra, number theory, graph theory and combinatory, computation in complex networks, calculus, differential educations and integration, application of soft computing, knowledge engineering, machine learning, artificial intelligence, big data and data analytics, high-performance computing, network and device security, Internet of Things (IoT).



Principles Of Performance And Reliability Modeling And Evaluation


Principles Of Performance And Reliability Modeling And Evaluation
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Author : Lance Fiondella
language : en
Publisher: Springer
Release Date : 2016-04-06

Principles Of Performance And Reliability Modeling And Evaluation written by Lance Fiondella and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-06 with Technology & Engineering categories.


This book presents the latest key research into the performance and reliability aspects of dependable fault-tolerant systems and features commentary on the fields studied by Prof. Kishor S. Trivedi during his distinguished career. Analyzing system evaluation as a fundamental tenet in the design of modern systems, this book uses performance and dependability as common measures and covers novel ideas, methods, algorithms, techniques, and tools for the in-depth study of the performance and reliability aspects of dependable fault-tolerant systems. It identifies the current challenges that designers and practitioners must face in order to ensure the reliability, availability, and performance of systems, with special focus on their dynamic behaviors and dependencies, and provides system researchers, performance analysts, and practitioners with the tools to address these challenges in their work. With contributions from Prof. Trivedi's former PhD students and collaborators, many of whom are internationally recognized experts, to honor him on the occasion of his 70th birthday, this book serves as a valuable resource for all engineering disciplines, including electrical, computer, civil, mechanical, and industrial engineering as well as production and manufacturing.