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Download or read book Analysis of Server Scheduling in Multi-class Single-server Queueing System written by and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael David Carr
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (271 download)
Download or read book Scheduling Policies for a Single-server Multiclass Queueing System written by Michael David Carr and published by . This book was released on 1992 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eren Cil
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Dynamic Pricing and Scheduling in a Multi-Class Single-Server Queueing System written by Eren Cil and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper investigates an optimal sequencing and dynamic pricing prob- lem for a two-class queueing system. Using a Markov Decision Process based model, we obtain structural characterizations of optimal policies. In particular, it is shown that the optimal pricing policy depends on the entire queue length vector but some monotonicity results prevail as the composition of this vector changes. A numerical study finds that static pricing policies may have significant suboptimality but simple dynamic pricing policies perform well in most situations.
Author : Sina Ansari
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Optimal Policy in Single-Server Multi-Class Queuing Systems with Abandonment written by Sina Ansari and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study a multi-class queuing system with a single server and customer abandonment. We fully characterize the structure of the server's optimal scheduling policy that minimizes the long-run average customer abandonment cost. We show that the optimal service policy is a static priority policy. We derive sufficient conditions under which the so-called b.mu-rule is optimal. Under the b.mu-rule, it is optimal to give priority to the customer type that has higher service rate (mu) and higher abandonment cost (b), i.e., higher index b.mu.
Author : Gerald Eugene Feigin
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.:/5 (26 download)
Download or read book Comparison Methods for Scheduling Control of Multiclass Single Server Queues written by Gerald Eugene Feigin and published by . This book was released on 1990 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Michael Harrison
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (227 download)
Download or read book Dynamic Scheduling of a Multi-Class Queue: Discount Optimality written by J. Michael Harrison and published by . This book was released on 1974 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers a single server queueing system with several classes of customers who arrive according to independent Poisson processes. The service time distributions are arbitrary, and a linear cost structure is assumed. The problem is to decide, at the completion of each service and given the state of system, which class (if any) to admit next into service. The objective is to maximize the expected net present value of service rewards received minus holding costs incurred over an infinite planning horizon, the interest rate being positive. One very special type of scheduling rule, called a modified static policy, simply enforces a (non-preemptive) priority ranking except that certain classes are never served. It is shown that there is a modified static policy which is optimal, and a simple algorithm for its computation is presented. (Modified author abstract).
Author : Kevin D. Glazebrook
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Parallel Scheduling of Multiclass M/M/M Queues written by Kevin D. Glazebrook and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We address the problem of scheduling a multiclass "M/M/m" queue with Bernoulli feedback on "m" parallel servers to minimize time-average linear holding costs. We analyze the performance of a heuristic priority-index rule, which extends Klimov's optimal solution to the single-server case: servers select preemptively customers with larger Klimov indices. We present closed-form suboptimality bounds (approximate optimality) for Klimov's rule, which imply that its suboptimality gap is uniformly bounded above with respect to (i) external arrival rates, as long as they stay within system capacity; and (ii) the number of servers. It follows that its relative suboptimality gap vanishes in a heavy-traffic limit, as external arrival rates approach system capacity (heavy-traffic optimality). We obtain simpler expressions for the special no-feedback case, where the heuristic reduces to the classical "c mu" rule. Our analysis is based on comparing the expected cost of Klimov's rule to the value of a strong linear programming (LP) relaxation of the system's region of achievable performance of mean queue lengths. In order to obtain this relaxation, we derive and exploit a new set of work decomposition laws for the parallel-server system. We further report on the results of a computational study on the quality of the "c mu" rule for parallel scheduling.
Author : Henry Maurice Goldberg
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.E/5 ( download)
Download or read book Analysis of the Earliest Due Date Scheduling Rule in Queueing Systems written by Henry Maurice Goldberg and published by . This book was released on 1976 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Michael Harrison
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (227 download)
Download or read book Dynamic Scheduling of a Multi-Class Queue: Small Interest Rates written by J. Michael Harrison and published by . This book was released on 1974 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers a single server queueing system with two classes of customers who arrive according to independent Poisson processes. The two service time distributions are arbitrary, and a linear holding cost and fixed service reward for each class is considered. The problem is to decide, at the completion of each service and given the state of the system, which class (if any) to admit next into service. (Modified author abstract).
Author : Natarajan Gautam
Publisher : CRC Press
ISBN 13 : 1439806594
Total Pages : 788 pages
Book Rating : 4.4/5 (398 download)
Download or read book Analysis of Queues written by Natarajan Gautam and published by CRC Press. This book was released on 2012-04-26 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of queues is used in a variety of domains including call centers, web servers, internet routers, manufacturing and production, telecommunications, transportation, hospitals and clinics, restaurants, and theme parks. Combining elements of classical queueing theory with some of the recent advances in studying stochastic networks, this book covers a broad range of applications. It contains numerous real-world examples and industrial applications in all chapters. The text is suitable for graduate courses, as well as researchers, consultants and analysts that work on performance modeling or use queueing models as analysis tools.
Author : Junxia Chang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (574 download)
Download or read book Dynamic Scheduling of Open Multiclass Queueing Networks in a Slowly Changing Environment written by Junxia Chang and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis investigates the dynamic scheduling of computer communication networks that can be periodically overloaded. Such networks are modelled as mutliclass queueing networks in a slowly changing environment. A hierarchy framework is established to search for a suitable scheduling policy for such networks through its connection with stochastic fluid models. In this work, the dynamic scheduling of a specific multiclass stochastic fluid model is studied first. Then, a bridge between the scheduling of stochastic fluid models and that of the queueing networks in a changing environment is established. In the multiclass stochastic fluid model, the focus is on a system with two fluid classes and a single server whose capacity can be shared arbitrarily among these two classes. The server may be overloaded transiently and it is under a quality of service contract which is indicated by a threshold value of each class. Whenever the fluid level of a certain class is above the designated threshold value, the penalty cost is incurred to the server. The optimal and asymptotically optimal resource allocation policies are specified for such a stochastic fluid model. Afterwards, a connection between the optimization of the queueing networks and that of the stochastic fluid models is established. This connection involves two steps. The first step is to approximate such networks by their corresponding stochastic fluid models with a proper scaling method. The second step is to construct a suitable policy for the queueing network through a successful interpretation of the stochastic fluid model solution, where the interpretation method is provided in this study. The results developed in this thesis facilitate the process of searching for a nearly optimal scheduling policy for queueing networks in a slowly changing environment.
Author : Tuan Phung-Duc
Publisher : Springer Nature
ISBN 13 : 3030271811
Total Pages : 393 pages
Book Rating : 4.0/5 (32 download)
Download or read book Queueing Theory and Network Applications written by Tuan Phung-Duc and published by Springer Nature. This book was released on 2019-08-22 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Conference on Queueing Theory and Network Applications, QTNA 2019, held in Ghent, Belgium, in August 2019.The 23 full papers included in this volume were carefully reviewed and selected from 49 initial submissions. The papers are organized in topical sections on Retrial Queues; Controllable Queues; Strategic Queues; Queueing Networks; Scheduling Policies; Multidimensional Systems; and Queueing Models in Applications.
Author : Muhammad El-Taha
Publisher : Springer Science & Business Media
ISBN 13 : 1461557216
Total Pages : 303 pages
Book Rating : 4.4/5 (615 download)
Download or read book Sample-Path Analysis of Queueing Systems written by Muhammad El-Taha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sample-Path Analysis of Queueing Systems uses a deterministic (sample-path) approach to analyze stochastic systems, primarily queueing systems and more general input-output systems. Among other topics of interest it deals with establishing fundamental relations between asymptotic frequencies and averages, pathwise stability, and insensitivity. These results are utilized to establish useful performance measures. The intuitive deterministic approach of this book will give researchers, teachers, practitioners, and students better insights into many results in queueing theory. The simplicity and intuitive appeal of the arguments will make these results more accessible, with no sacrifice of mathematical rigor. Recent topics such as pathwise stability are also covered in this context. The book consistently takes the point of view of focusing on one sample path of a stochastic process. Hence, it is devoted to providing pure sample-path arguments. With this approach it is possible to separate the issue of the validity of a relationship from issues of existence of limits and/or construction of stationary framework. Generally, in many cases of interest in queueing theory, relations hold, assuming limits exist, and the proofs are elementary and intuitive. In other cases, proofs of the existence of limits will require the heavy machinery of stochastic processes. The authors feel that sample-path analysis can be best used to provide general results that are independent of stochastic assumptions, complemented by use of probabilistic arguments to carry out a more detailed analysis. This book focuses on the first part of the picture. It does however, provide numerous examples that invoke stochastic assumptions, which typically are presented at the ends of the chapters.
Author : Jose Brazio
Publisher : Springer Science & Business Media
ISBN 13 : 0387281738
Total Pages : 260 pages
Book Rating : 4.3/5 (872 download)
Download or read book Analysis and Design of Advanced Multiservice Networks Supporting Mobility, Multimedia, and Internetworking written by Jose Brazio and published by Springer Science & Business Media. This book was released on 2006-07-02 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent trend towards the interoperability of traditionally separate networks, such as terrestrial, wireless/cellular, and satellite, for the support of multimedia applications poses new and significantly challenging problems to network design. This book reports on the state-of-the-art work developed during the four years of operation of the COST 279 Action, Analysis and Design of Advanced Multiservice Networks supporting Mobility, Multimedia, and Internetworking, by its participating researchers, originating from over 40 research institutions from the academic, industrial, and telecom operator worlds. The work includes both fundamental, methodological, and applied aspects of network performance evaluation and design. Analysis and Design of Advanced Multiservice Networks Supporting Mobility, Multimedia, and Internetworking contains a detailed account of the work developed, supported on an extensive bibliography of material published in the peer-reviewed literature. It contains the following six chapters: IP-Based NetworksQueueing Models Traffic Measurement, Characterization, and ModelingWireless NetworksOptical NetworksPeer-to-Peer Services Analysis and Design of Advanced Multiservice Networks Supporting Mobility, Multimedia, and Internetworking will appeal to both practitioners of network design, and to researchers aiming to map future directions in networking research.
Author : Yueyang Zhong
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Learning the Scheduling Policy in Time-Varying Multiclass Many Server Queues with Abandonment written by Yueyang Zhong and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeunghyun Kim
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Dynamic Scheduling in a Many-Server Multi-Class System written by Jeunghyun Kim and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem Definition: We study optimal scheduling of customers in service systems, such as call centers. In such systems, customers typically hang up and abandon the system if their wait for service is too long. Such abandonments are detrimental for the system, and so managers typically use scheduling as a tool to mitigate it. In this paper we study the interplay between customer impatience and scheduling decisions when managing heterogeneous customer classes. Academic/Practical Relevance: Call centers constitute a large industry, that has a global spending of around $300 billion, and employs more than 15 million people worldwide. Our work focuses on improving call center operations which can reduce costs and improve customer satisfaction. Mathematically, customer patience is typically modeled as exponentially distributed for tractability. Our work makes inroads into relaxing this restrictive assumption to allow modeling more realistic call center situations. Methodology: We use heavy-traffic motivated asymptotic queueing machinery, that provides us the traction to successfully capture and incorporate the customer impatience distribution into the scheduling problem. In our approach, the scheduling problem reduces to a Diffusion Control Problem, which we solve to propose near-optimal scheduling policies. Results: We propose near-optimal scheduling policies that can be implemented by call centers to improve their QoS metrics. One of our main results is that for a class of parameters, we establish sufficient conditions for both the optimality and non-optimality of threshold policies. Managerial Implications: Threshold policies are widely used for scheduling. Our work provides additional insight into whether these may be sub-optimal. Our work provides an easy to-implement alternative that can reduce customer abandonments considerably, for instance, our numerical results indicate that for a system with two customer types, the abandonment rate of one class can be lowered by 30% by using our policy relative to the best threshold policy.
Author : Seuck-Cheun Yoo
Publisher :
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.:/5 ( download)
Download or read book A Queueing Model for a Multi-server and Multi-class Customer System written by Seuck-Cheun Yoo and published by . This book was released on 1989 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
