Optimal Information Price In Queuing Systems
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Optimal Information Price In Queuing Systems
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Author : Igor Rochlin
language : en
Publisher:
Release Date : 2018
Optimal Information Price In Queuing Systems written by Igor Rochlin 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.
Service systems with queues are all around us in our daily life. It is commonly found that in service queuing systems known, the decision whether to join the system made prior to the observation of the queue. If offered the opportunity, customers may rather pay a price for inspecting the queue prior to the decision to join, lowering their chance of encountering a busy queue and spending precious time on waiting. The provider's dilemma is for what price to reveal this information, and whether there is an optimal price which can maximize system's throughput or provider's revenue. The main purpose in this work, is obtaining the optimal pricing mechanism of queue statues prior to the decision to join with general service time distribution. The first step is to formalize the optimization problem. The lack of assumptions regarding the service time distribution makes the analysis complex. This is because, unlike the memoryless case, the information regarding the queue length plays a role in assessing the residual service time. The second step is presenting an example of a numerical solution, which has to depend on the service time distribution. -- abstract.
Optimal Design Of Queueing Systems
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Author : Shaler Stidham Jr.
language : en
Publisher: CRC Press
Release Date : 2009-03-27
Optimal Design Of Queueing Systems written by Shaler Stidham Jr. and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-27 with Business & Economics categories.
The First Comprehensive Book on the SubjectFocusing 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 opt
Optimal Policies For Queuing Systems With Periodic Review
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Author : Michael Jay Magazine
language : en
Publisher:
Release Date : 1969
Optimal Policies For Queuing Systems With Periodic Review written by Michael Jay Magazine 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.
The general problem of finding optimal policies for operating queuing systems is investigated in order to determine when to open or close servers so as to minimize cost. The queue size is observed at equally spaced intervals of time and the structure of the optimal policy is determined. The main restriction made, at first, is to limit the model to a single server system. Justification for a form of an optimal policy is given. Then the proofs that this policy is in fact optimal for the finite horizon, and averaging cost criterion are given. Also, conditions for determining that the server should never be closed with customers in queue are presented. The problem is then generalized to allow for a fixed number of servers. (Author).
Optimal Design Of Queueing Systems
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Author : Shaler Stidham Jr.
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2009-03-27
Optimal Design Of Queueing Systems written by Shaler Stidham Jr. and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-27 with Business & Economics categories.
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.
Fundamentals Of Queuing Systems
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Author : Nick T. Thomopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-27
Fundamentals Of Queuing Systems written by Nick T. Thomopoulos 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 2012-03-27 with Business & Economics categories.
Waiting in lines is a staple of everyday human life. Without really noticing, we are doing it when we go to buy a ticket at a movie theater, stop at a bank to make an account withdrawal, or proceed to checkout a purchase from one of our favorite department stores. Oftentimes, waiting lines are due to overcrowded, overfilling, or congestion; any time there is more customer demand for a service than can be provided, a waiting line forms. Queuing systems is a term used to describe the methods and techniques most ideal for measuring the probability and statistics of a wide variety of waiting line models. This book provides an introduction to basic queuing systems, such as M/M/1 and its variants, as well as newer concepts like systems with priorities, networks of queues, and general service policies. Numerical examples are presented to guide readers into thinking about practical real-world applications, and students and researchers will be able to apply the methods learned to designing queuing systems that extend beyond the classroom. Very little has been published in the area of queuing systems, and this volume will appeal to graduate-level students, researchers, and practitioners in the areas of management science, applied mathematics, engineering, computer science, and statistics.
Optimal Average Cost Operating Policy For An M G 1 Queueing System With Removable Server And Several Priority Classes
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Author : Stanford University. Applied Mathematics and Statistics Laboratory
language : en
Publisher:
Release Date : 1971
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 has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Queuing theory categories.
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).
Optimal Design Of A Queueing System Under Uncertainty
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Author : Z. Barzily
language : en
Publisher:
Release Date : 1975
Optimal Design Of A Queueing System Under Uncertainty written by Z. Barzily and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
In this study the authors deal with the determination of optimal service rate in an M/M/1 queue. The arrival rate is unknown and assumed to be a random variable with a known distribution function. Holding and operating costs are considered and service rate is determined to minimize total expected discounted costs for infinite horizon. The effects of the arrival rates distribution properties on the characteristics of the system are examined.
Static Decision Models For Queueing Systems With Non Linear Waiting Costs
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Author : Stanford University. Department of Operations Research
language : en
Publisher:
Release Date : 1968
Static Decision Models For Queueing Systems With Non Linear Waiting Costs 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 1968 with categories.
Some models for the optimal design of queueing systems are presented. In most models studied, the decision variables are the number of servers (c) and the mean rate (mu) at which each serves. The objective function is the steady-state total expected cost rate of operating the system, which is assumed to be the sum of a cost of operating the service mechanism and a cost due to customers waiting in the system. It is shown that a single-server system is optimal for a wide class of arrival processes and service-time distributions, a wide variety of service and waiting cost functions, and a wide variety of system structures and operating policies. The optimality of the single-server system is first demonstrated for single-station models with general arrival process and degenerate, exponential, or Erlang service-time distribution, where the service-cost rate is proportional to both c and mu and the waiting-cost rate is proportional to the number of customers in the system. Several generalizations of this model are presented. (Author).
Optimal Pricing And Admission Control In A Nonstationary Queueing System
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Author : Seunghwan Yoon
language : en
Publisher:
Release Date : 2003
Optimal Pricing And Admission Control In A Nonstationary Queueing System written by Seunghwan Yoon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
To Queue Or Not To Queue
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Author : Refael Hassin
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
To Queue Or Not To Queue written by Refael Hassin 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 2003 with Business & Economics categories.
To Queue Or Not To Queue: Equilibrium Behavior in Queueing Systems focuses on the highly interesting, practical viewpoint of customer behavior and its effect on the performance of the queueing system. The book's objectives are threefold: (1) It is a comprehensive survey of the literature on equilibrium behavior of customers and servers in queueing systems. The literature is rich and considerable, but lacks continuity. This book will provide the needed continuity and cover some issues that have not been adequately treated. (2) In addition, it will examine the known results of the field, classify them and identify where and how they relate to each other. (3) And finally, it seeks to fill a number of the gaps in the literature with new results while explicitly outlining open problems in other areas. With this book, it is the authors' paramount purpose is to motivate further research and to help researchers identify new and interesting open problems.