Stability And Pricing Of Queueing Models
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Stability And Pricing Of Queueing Models
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Author : Utku Yildirim
language : en
Publisher:
Release Date : 2006
Stability And Pricing Of Queueing Models written by Utku Yildirim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Pricing categories.
Stability Analysis Of Regenerative Queueing Models
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Author : Evsey Morozov
language : en
Publisher: Springer Nature
Release Date : 2021-09-20
Stability Analysis Of Regenerative Queueing Models written by Evsey Morozov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Computers categories.
The stability analysis of stochastic models for telecommunication systems is an intensively studied topic. The analysis is, as a rule, a difficult problem requiring a refined mathematical technique, especially when one endeavors beyond the framework of Markovian models. The primary purpose of this book is to present, in a unified way, research into the stability analysis of a wide variety of regenerative queueing systems. It describes the theoretical foundations of this method, and then shows how it works with particular models, both classic ones as well as more recent models that have received attention. The focus lies on an in-depth and insightful mathematical explanation of the regenerative stability analysis method. The unique volume can serve as a textbook for students working in these and related scientific areas. The material is also of interest to engineers working in telecommunications field, who may be faced with the problem of stability of queueing systems.
Stability And Pricing In Naor S Model With Arrival Rate Uncertainty
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Author : Chengcheng Liu
language : en
Publisher:
Release Date : 2019
Stability And Pricing In Naor S Model With Arrival Rate Uncertainty written by Chengcheng Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Naor's observable queueing model describes an M/M/1 queue with strategic customers and a system manager who maximizes the long-run average revenue rate or social benefit rate. Customers have identical service values and waiting time costs, assuming the waiting cost is linear in time. A new customer chooses to either enter the system or balk after observing the queue length. The system manager decides on the admission fee, which is assumed to be a constant. The results of Naor's model are: the optimal policy for customers is a threshold policy, and customers enter if and only if the queue length is no larger than a threshold; the revenue-maximizing threshold is no larger than the socially optimal threshold, or equivalently, a revenue maximizer (RM) charges a fee no less than a social optimizer (SO). This research studies an observable queueing system in which the arrival rate is not known with certainty by either customers or the system manager. The customer population is modeled to be either homogeneous or heterogeneous. We present three different models: static pricing with uncertain arrival rate and heterogeneous customers; state dependent pricing with uncertain arrival rate and homogeneous customers; and state dependent pricing with uncertain arrival rate and heterogeneous customers. We study the system stability, the optimal behavior of customers and the optimal pricing policies of the system manager
Stability Of Queueing Networks
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Author : Maury Bramson
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-26
Stability Of Queueing Networks written by Maury Bramson 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 2008-06-26 with Mathematics categories.
Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service. Since the early 1990s, substantial attention has been devoted to the question of when such networks are stable. This volume presents a summary of such work. Emphasis is placed on the use of fluid models in showing stability, and on examples of queueing networks that are unstable even when the arrival rate is less than the service rate. The material of this volume is based on a series of nine lectures given at the Saint-Flour Probability Summer School 2006. Lectures were also given by Alice Guionnet and Steffen Lauritzen.
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.).
A Surge Type Pricing In Ridesharing Systems Is Stability Optimal
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Author : Costas Courcoubetis
language : en
Publisher:
Release Date : 2018
A Surge Type Pricing In Ridesharing Systems Is Stability Optimal written by Costas Courcoubetis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
The availability of drivers at a certain location affects the waiting time of passengers that arrive to be served by the platform. We introduce a queueing model for this waiting time and consider the effect on stability of available drivers' mobility pattern, their willingness to accept rides in a given location, and the incentives offered by the platform. For any fixed number of drivers, we characterize the largest set of passenger arrival rates which can result to stable queues under some policy dictating the movement of available drivers and their acceptance of rides. It turns out that any such policy can be enforced by offering appropriate region-dependent rewards to drivers for passenger pick up. Next, we show that dynamic rewards which are proportional to the passenger queue lengths, have the property of stabilizing queues for any arrival rates within the stability region. Seen from the perspective of drivers, such rewards - which resemble surge pricing - maximize their utilization.
Stability And Approximation Of Queueing Networks
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Author : Antonios Dimakis
language : en
Publisher:
Release Date : 2006
Stability And Approximation Of Queueing Networks written by Antonios Dimakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Queuing Models In Industry And Business
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Author : Aliakbar Montazer Haghighi
language : en
Publisher: Nova Publishers
Release Date : 2008
Queuing Models In Industry And Business written by Aliakbar Montazer Haghighi and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Business & Economics categories.
Studies on queueing models and their publication in professional journals and textbooks have been sparse over the past eleven decades. Collections of some of these studies have appeared either as single volumes or just chapters of single volumes and/or monographs. This book is an attempt to present some queuing models, especially those applicable in business and industry, in a style between a monograph and a textbook. Also the need of researchers and practitioners for a handbook-type text and the current lack of it explain the need for a book of this kind. Most of the basic terminologies and concepts that appear throughout the text are introduced in a systematic way in the first two chapters; nevertheless, previous exposition to a first course in probability and statistics is advised for later chapters.
On Stability Of Queueing Models Of Local Area Networks With Slotted Ring Protocols
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Author : B. van Arem
language : en
Publisher:
Release Date : 1989
On Stability Of Queueing Models Of Local Area Networks With Slotted Ring Protocols written by B. van Arem and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Queueing Theory 1
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Author : Vladimir Anisimov
language : en
Publisher: John Wiley & Sons
Release Date : 2021-03-05
Queueing Theory 1 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 first volume includes ten chapters written by experts well-known in their areas. The book studies the analysis of queues with interdependent arrival and service times, characteristics of fluid queues, modifications of retrial queueing systems and finite-source retrial queues with random breakdowns, repairs and customers' collisions. Some recent tendencies in the asymptotic analysis include the average and diffusion approximation of Markov queueing systems and networks, the diffusion and Gaussian limits of multi-channel queueing networks with rather general input flow, and the analysis of two-time-scale nonhomogenous Markov chains using the large deviations principle. The book also analyzes transient behavior of infinite-server queueing models with a mixed arrival process, the strong stability of queueing systems and networks, and applications of fast simulation methods for solving high-dimension combinatorial problems.