Optimal Design Of Multiserver Queueing Systems With Separable Waiting Costs
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Optimal Design Of Multiserver Queueing Systems With Separable Waiting Costs
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Author : Kyungyoon Jo
language : en
Publisher:
Release Date : 1978
Optimal Design Of Multiserver Queueing Systems With Separable Waiting Costs written by Kyungyoon Jo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
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 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.
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).
On The Optimal Design Of A Bipartite Matching Queueing System
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Author : Philipp Afeche
language : en
Publisher:
Release Date : 2019
On The Optimal Design Of A Bipartite Matching Queueing System written by Philipp Afeche 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.
We consider a multi-class multi-server queueing system and study the problem of designing an optimal matching topology (or service compatibility structure) between customer classes and servers under a FCFS-ALIS service discipline. Specifically, we are interested in finding matching topologies that optimize --in a Pareto efficiency-- sense the trade-off between two competing objectives: (i) minimizing customers' waiting time delays and (ii) maximizing matching rewards generated by pairing customers and servers. Our analysis of the problem is divided in three main parts.First, under heavy-traffic conditions, we show that any bipartite matching system can be partitioned into a collection of complete resource pooling (CRP) subsystems, which are interconnected by means of a direct acyclic graph (DAG). We show that this DAG together with the aggregate service capacity on each CRP component fully determine the vector of steady-state waiting times. In particular, we show that the average (scaled) steady-state delay across all customer classes is asymptotically equal to the number of CRP components divided by the total system capacity.Second, since computing matching rewards under a FCFS-ALIS service discipline is computationally infeasible as the number of customer classes and servers grow large, we propose a quadratic programming (QP) formulation to approximate matching rewards. We show that the QP formulation is exact for a number of instances of the problem and provides a very good approximation in general. Extensive numerical experiments show that in over 98% of problem instances the relative error between the exact rewards and the QP approximate rewards is less than 2%.Lastly, combining our characterization of average delays in terms of the number of CRP components and the quadratic programming formulation to compute matching rewards, we propose a mixed-integer linear program (MILP) that can be used to find the set of matching topologies that define the Pareto frontier of reward-delay pairs.
Masters Theses In The Pure And Applied Sciences
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Author : Wade H. Shafer
language : en
Publisher: Springer
Release Date : 1979-11-01
Masters Theses In The Pure And Applied Sciences written by Wade H. Shafer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-11-01 with Science categories.
Masters Theses in the Pure and Applied Sciences was first conceived, published, and dis seminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) * at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the ac tivity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volume were handled by an international publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 23 (thesis year 1978) a total of 10,148 theses titles from 27 Canadian and 220 United States universities. We are sure that this broader base for theses titles reported will greatly enhance the value of this important annual reference work. While Volume 23 reports these submitted in 1978, on occasion, certain universities do report theses submitted in previous years but not reported at the time.
Wait Time Based Pricing For Queueing Systems
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Author : Chen-An Lin
language : en
Publisher:
Release Date : 2023
Wait Time Based Pricing For Queueing Systems written by Chen-An Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
This dissertation studies dynamic pricing in service systems where the system state is defined as the wait time. The first essay studies a single-server queue where customers arrive according to a Poisson process. The service provider announces the price rate and current system wait time to incoming customers, who decide whether to join the queue and determine their service duration. The objective is to maximize either the long-run average revenue or social welfare. The problem is formulated as a continuous-time control model, and we develop an innovative method to obtain the optimal control policy. The optimal dynamic pricing policy reveals the compensation effect, where the service provider lowers the price rate when the wait time exceeds a threshold, in addition to the usual congestion effect. A numerical study demonstrates the superiority of the revenue-maximizing pricing policy over static pricing policies, especially for low arrival rates and impatient customers. The extension to nonlinear pricing and heterogeneous customers yields similar policy insights, showcasing the value of considering customer characteristics in dynamic pricing models. The proposed model can be utilized to design dynamic pricing schemes for fast-charging stations. The second essay addresses a mechanism design problem for a single-server queue with customers arriving according to a Poisson process and possessing private information about their wait time sensitivity. Following a direct mechanism, where the service provider announces the system wait time and offers a menu of options to each arriving customer. By choosing an option or opting out, customers aim to maximize their utility. The objective is to design a mechanism that maximizes the long-run average revenue. The optimal mechanism is wait-time dependent and admits customers with lower wait-time sensitivities. The model reveals strategic complementarity between admission decisions and service times which became the admission threshold, and offered service time decreases as the wait time increases. Comparisons with simpler heuristic mechanisms quantify the value of the optimal mechanism, showing significantly higher revenue generation, particularly for moderate service costs and arrival rates. Modifying service times becomes crucial when considering the different customer types and their interaction with wait time.The third essay investigates a queueing system where the firm strategically determines the release time of each arriving request. We consider a first-come-first-serve single-server system, with customer requests arriving according to a Poisson process. The base model includes two types of customers: impatient and patient, characterized by their privately known service valuations and time sensitivities. The chapter explores the potential of strategically delaying the release of products to improve system performance. It reveals that such a delay occurs when the proportion of impatient customers is high and the system wait time is shorter than the threshold. Importantly, the optimal inflated release time does not vary with the system wait time, facilitating practical implementation. The extension to continuous-type customers confirms the tangible impact of strategic delay on revenue improvement, particularly when faced with uncertainty in the types of arriving requests.
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.
Annual Department Of Defense Bibliography Of Logistics Studies And Related Documents
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Author : United States. Defense Logistics Studies Information Exchange
language : en
Publisher:
Release Date : 1975
Annual Department Of Defense Bibliography Of Logistics Studies And Related Documents written by United States. Defense Logistics Studies Information Exchange and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Military research categories.
Operations Research And Enterprise Systems
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Author : Greg H. Parlier
language : en
Publisher: Springer
Release Date : 2019-03-14
Operations Research And Enterprise Systems written by Greg H. Parlier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-14 with Computers categories.
This book constitutes revised selected papers from the 7th International Conference on Operations Research and Enterprise Systems, ICORES 2018, held in Funchal, Madeira, Portugal, in January 2018. The 12 papers presented in this volume were carefully reviewed and selected from a total of 59 submissions. They are organized in topical sections named: methodologies and technologies; and applications.