Staffing And Control Of Many Server Service Systems
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Staffing And Control Of Many Server Service Systems
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Author : Itai Gurvich
language : en
Publisher:
Release Date : 2008
Staffing And Control Of Many Server Service Systems written by Itai Gurvich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Staffing And Control Of Large Scale Service Systems With Multiple Customer Classes And Fully Flexible Servers
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Author : Itai Gurvich
language : en
Publisher:
Release Date : 2008
Staffing And Control Of Large Scale Service Systems With Multiple Customer Classes And Fully Flexible Servers written by Itai Gurvich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
We study large-scale service systems with multiple customer classes and many statistically identical servers. The following question is addressed: How many servers are required (staffing) and how does one match them with customers (control) in order to minimize cost or maximize profit, subject to quality of service (QoS) constraints? We tackle this question by characterizing scheduling and staffing schemes that are asymptotically optimal in the limit, as system load grows to infinity. The main asymptotic regime considered is the many-server heavy-traffic Quality and Efficiency Driven (QED) regime. The Efficiency Driven (ED) regime is also studied. In the QED regime, which was formally introduced by Halfin and Whitt, a delicate balance is obtained between server efficiencies and quality of service. This balance is enabled by the economies of scale associated with the system size. Our main findings are: a) Decoupling of staffing and control, namely (i) Staffing disregards the multi-class nature of the system and is analogous to the staffing of a single class system with the same aggregate demand and the lowest priority class cost and QoS parameters, and (ii) Class level service differentiation is obtained by using a simple threshold-priority (TP) control (with state-independent thresholds), b) Robustness of the staffing and control rules: In the QED regime, our proposed Square-Root Safety (SRS) staffing rule and TP control are asymptotically optimal with respect to various problem formulations and model assumptions. c) The QED and ED regimes are obtained as solutions of the joint staffing and control problem rather than as assumptions.
Staffing And Scheduling To Differentiate Service In Many Server Service Systems
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Author : Xu Sun
language : en
Publisher:
Release Date : 2019
Staffing And Scheduling To Differentiate Service In Many Server Service Systems written by Xu Sun 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.
This dissertation contributes to the study of a queueing system with a single pool of multiple homogeneous servers to which multiple classes of customers arrive in independent streams. The objective is to devise appropriate staffing and scheduling policies to achieve specified class-dependent service levels expressed in terms of tail probability of delays. Here staffing and scheduling are concerned with specifying a time-varying number of servers and assigning newly idle servers to a waiting customer from one of K classes, respectively. For this purpose, we propose new staffing-and-scheduling solutions under the critically-loaded and overloaded regimes. In both cases, the proposed solutions are both time dependent (coping with the time variability in the arrival pattern) and state dependent (capturing the stochastic variability in service and arrival times). We prove heavy-traffic limit theorems to substantiate the effectiveness of our proposed staffing and scheduling policies. We also conduct computer simulation experiments to provide engineering confirmation and practical insight.
Staffing Routing And Payment To Trade Off Speed And Quality In Large Service Systems
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Author : Dongyuan Zhan
language : en
Publisher:
Release Date : 2020
Staffing Routing And Payment To Trade Off Speed And Quality In Large Service Systems written by Dongyuan Zhan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Most common queueing models used for service system design assume the servers work at fixed (possibly heterogeneous) rates. However, real-life service systems are staffed by people, and people may change their service speed in response to incentives. The delicacy is that the resulting service speed is jointly affected by staffing, routing, and payment decisions. Our objective in the paper is to find a joint staffing, routing, and payment policy that induces optimal service system performance. We do this under the assumption that there is a trade-off between service speed and quality, and employees are paid based on both. The employees each selfishly choose their own service speed in order to maximize their own expected utility (which depends on the staffing through their busy time). The endogenous service rate assumption leads to a centralized control problem in which the system manager jointly optimizes over the staffing, routing, and service rate. By solving the centralized control problem under fluid scaling, we find four different economically optimal operating regimes--critically loaded, efficiency-driven, quality-driven, and intentional idling (in which there is simultaneous customer abandonment and server idling). Then, we show that a simple piece-rate payment scheme can be used to solve the associated decentralized control problem under fluid scaling.
Server Staffing In Real World Telephone Service Systems
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Author : Shawniqua Tinyka Williams
language : en
Publisher:
Release Date : 1995
Server Staffing In Real World Telephone Service Systems written by Shawniqua Tinyka Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2008
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Dissertations, Academic categories.
Sharing Economy
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Author : Ming Hu
language : en
Publisher: Springer
Release Date : 2019-01-11
Sharing Economy written by Ming Hu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-11 with Business & Economics categories.
This edited book examines the challenges and opportunities arising from today’s sharing economy from an operations management perspective. Individual chapter authors present state-of-the-art research that examines the general impact of sharing economy on production and consumption; the intermediary role of a sharing platform; crowdsourcing management; and context-based operational problems. Sharing economy refers to a market model that enables and facilitates the sharing of access to goods and services. For example, Uber allows riders to share a car. Airbnb allows homeowners to share their extra rooms with renters. Groupon crowdsources demands, enabling customers to share the benefit of discounted goods and services, whereas Kickstarter crowdsources funds, enabling backers to fund a project jointly. Unlike the classic supply chain settings in which a firm makes inventory and supply decisions, in sharing economy, supply is crowdsourced and can be modulated by a platform. The matching-supply-with-demand process in a sharing economy requires novel perspectives and tools to address challenges and identify opportunities. The book is comprised of 20 chapters that are divided into four parts. The first part explores the general impact of sharing economy on the production, consumption, and society. The second part explores the intermediary role of a sharing platform that matches crowdsourced supply with demand. The third part investigates the crowdsourcing management on a sharing platform, and the fourth part is dedicated to context-based operational problems of popular sharing economy applications. “While sharing economy is becoming omnipresence, the operations management (OM) research community has begun to explore and examine different business models in the transportation, healthcare, financial, accommodation, and sourcing sectors. This book presents a collection of the state-of-the-art research work conducted by a group of world-leading OM researchers in this area. Not only does this book cover a wide range of business models arising from the sharing economy, but it also showcases different modeling frameworks and research methods that cannot be missed. Ultimately, this book is a tour de force – informative and insightful!” Christopher S. Tang Distinguished Professor and Edward Carter Chair in Business Administration UCLA Anderson School of Management
Slowdown Services
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Author : Jing Dong
language : en
Publisher:
Release Date : 2018
Slowdown Services written by Jing Dong 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.
Many service systems exhibit service slowdowns when the system is congested. Our goal in this paper is to investigate this phenomenon and its e ffect on service performance. We modify the Erlang-A model to account for service slowdowns and perform an asymptotic analysis in the Quality-and-E fficiency Driven (QED) regime. We find that when the load sensitivity is low, the system can achieve QED performance, but the square root staffi ng parameter requires an adjustment to achieve the same performance as an ordinary Erlang-A queue. When the load sensitivity is high, the system alternates randomly between a QED and an Efficiency Driven regime performance levels. To stabilize and improve system performance in this case, we propose two solutions: to add staffing on a permanent basis or to implement a threshold admission control policy where customers are occasionally blocked or rerouted to other service systems. The former is a static solution that provides a Quality Driven regime performance, while the latter is a real-time dynamic solution that leads to QED performance.
Queueing Theory 1
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Author :
language : en
Publisher: John Wiley & Sons
Release Date : 2021-04-13
Queueing Theory 1 written by 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 2021-04-13 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.
Modeling Stochastic Control Optimization And Applications
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Author : George Yin
language : en
Publisher: Springer
Release Date : 2019-07-16
Modeling Stochastic Control Optimization And Applications written by George Yin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-16 with Mathematics categories.
This volume collects papers, based on invited talks given at the IMA workshop in Modeling, Stochastic Control, Optimization, and Related Applications, held at the Institute for Mathematics and Its Applications, University of Minnesota, during May and June, 2018. There were four week-long workshops during the conference. They are (1) stochastic control, computation methods, and applications, (2) queueing theory and networked systems, (3) ecological and biological applications, and (4) finance and economics applications. For broader impacts, researchers from different fields covering both theoretically oriented and application intensive areas were invited to participate in the conference. It brought together researchers from multi-disciplinary communities in applied mathematics, applied probability, engineering, biology, ecology, and networked science, to review, and substantially update most recent progress. As an archive, this volume presents some of the highlights of the workshops, and collect papers covering a broad range of topics.