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Dynamic Scheduling Of Open Multiclass Queueing Networks In A Slowly Changing Environment
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Book Synopsis Dynamic Scheduling of Open Multiclass Queueing Networks in a Slowly Changing Environment by : Junxia Chang
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.
Book Synopsis Dynamic Scheduling of Multiclass Queueing Networks by : Caiwei Li
Download or read book Dynamic Scheduling of Multiclass Queueing Networks written by Caiwei Li and published by . This book was released on 2000 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Scheduling of Queueing Networks by : Jihong Ou
Download or read book Dynamic Scheduling of Queueing Networks written by Jihong Ou and published by . This book was released on 1991 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Scheduling in Multiclass Queueing Networks by : Cédric Westphal
Download or read book Stability and Scheduling in Multiclass Queueing Networks written by Cédric Westphal and published by . This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scheduling of Multiclass Queueing Networks by : Ioannis Ch Paschalidis
Download or read book Scheduling of Multiclass Queueing Networks written by Ioannis Ch Paschalidis and published by . This book was released on 1992 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Robust Scheduling for Queueing Networks by : Ramtin Pedarsani
Download or read book Robust Scheduling for Queueing Networks written by Ramtin Pedarsani and published by . This book was released on 2015 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing networks are used to model complicated processing environments such as data centers, call centers, transportation networks, health systems, etc. A queueing network consists of multiple interconnected queues with some routing structure, and a set of servers that have different and possibly overlapping capabilities in processing tasks (jobs) of different queues. One of the most important challenges in designing processing systems is to come up with a low-complexity and efficient scheduling policy. In this thesis, we consider the problem of robust scheduling for various types of processing networks. We call a policy robust if it does not depend on system parameters such as arrival and service rates. A major challenge in designing efficient scheduling policies for new large-scale processing networks is the lack of reliable estimates of system parameters; thus, designing a robust scheduling policy is of great practical interest. We develop a novel methodology for designing robust scheduling policies for queueing networks. The key idea of our design is to use the queue-length changes information to learn the right allocation of service resources to different tasks by stochastic gradient projection method. Our scheduling policy is oblivious to the knowledge of arrival rates and service rates of tasks in the network. Further, we propose a new fork-join processing network for scheduling jobs that are represented as directed acyclic graphs. We apply our robust scheduling policy to this fork-join network, and prove rate stability of the network under some mild assumptions. Next, we consider the stability of open multiclass queueing networks under longest-queue (LQ) scheduling. LQ scheduling is of great practical interest since (a) it requires only local decisions per group of queues; (b) the policy is robust to knowledge of arrival rates, service rates and routing probabilities of the network. Throughput-optimality of LQ scheduling policy for open multiclass queueing network is still an open problem. We resolve the open problem for a special case of multiclass queueing networks with two servers that can each process two queues, and show that LQ is indeed throughput-optimal. Finally, we consider transportation networks that can be well modeled by queueing networks. We abstractly model a network of signalized intersections regulated by fixed-time controls as a deterministic queueing network with periodic arrival and service rates. This system is characterized by a delay-differential equation. We show that there exists a unique periodic trajectory of queue-lengths, and every trajectory or solution of the system converges to this periodic trajectory, independent of the initial conditions.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2005 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Target-pursuing Policies for Scheduling and Routing in Multiclass Queueing Networks by : Chang Su
Download or read book Target-pursuing Policies for Scheduling and Routing in Multiclass Queueing Networks written by Chang Su and published by . This book was released on 2004 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scheduling a Two-station Multiclass Queueing Network in Heavy Traffic by : Lawrence M. Wein
Download or read book Scheduling a Two-station Multiclass Queueing Network in Heavy Traffic written by Lawrence M. Wein and published by . This book was released on 1988* with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability, Capacity, and Scheduling of Multiclass Queueing Networks by : John Jay Hasenbein
Download or read book Stability, Capacity, and Scheduling of Multiclass Queueing Networks written by John Jay Hasenbein and published by . This book was released on 1998 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scheduling Multiclass Queueing Networks and Job Shops Using Fluid and Semidefinite Relaxations by : Jayachandran Sethuraman
Download or read book Scheduling Multiclass Queueing Networks and Job Shops Using Fluid and Semidefinite Relaxations written by Jayachandran Sethuraman and published by . This book was released on 1999 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scheduling Multiclass Queueing Networks on Parallel Servers by : Kevin D. Glazebrook
Download or read book Scheduling Multiclass Queueing Networks on Parallel Servers written by Kevin D. Glazebrook and published by . This book was released on 1997 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Institute for Operations Research and the Management Sciences. National Meeting Publisher : ISBN 13 : Total Pages :264 pages Book Rating :4.E/5 ( download)
Book Synopsis INFORMS Annual Meeting by : Institute for Operations Research and the Management Sciences. National Meeting
Download or read book INFORMS Annual Meeting written by Institute for Operations Research and the Management Sciences. National Meeting and published by . This book was released on 2003 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Necessary Conditions for Global Stability of Multiclass Queueing Networks by : John J. Hasenbein
Download or read book Necessary Conditions for Global Stability of Multiclass Queueing Networks written by John J. Hasenbein and published by . This book was released on 1996 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Method by : Dimitris Bertsimas
Download or read book Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Method written by Dimitris Bertsimas and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We address the problem of scheduling a multi-station multiclass queueing network (MQNET) with server changeover times to minimize steady-state mean job holding costs. We present new lower bounds on the best achievable cost that emerge as the values of mathematical programming problems (linear, semidefinite, and convex) over relaxed formulations of the system's achievable performance region. The constraints on achievable performance defining these formulations are obtained by formulating system's equilibrium relations. Our contributions include: (1) a flow conservation interpretation and closed formulae for the constraints previously derived by the potential function method; (2) new work decomposition laws for MQNETs; (3) new constraints (linear, convex, and semidefinite) on the performance region of first and second moments of queue lengths for MQNETs; (4) a fast bound for a MQNET with N customer classes computed in N steps; (5) two heuristic scheduling policies: a priority-index policy, and a policy extracted from the solution of a linear programming relaxation.
Book Synopsis Robust Fluid Control of Multiclass Queueing Networks by : Hua Su (S.M.)
Download or read book Robust Fluid Control of Multiclass Queueing Networks written by Hua Su (S.M.) and published by . This book was released on 2006 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis applies recent advances in the field of robust optimization to the optimal control of multiclass queueing networks. We develop models that take into account the uncertainty of interarrival and service time in multiclass queueing network problems without assuming a specific probability distribution, while remaining highly tractable and providing insight into the corresponding optimal control policy. Our approach also allows us to adjust the level of robustness of the solution to trade off performance and protection against uncertainty. We apply robust optimization to both open and closed queueing networks. For open queueing networks, we study control problems that involve sequencing, routing and input control decision, and optimize the total holding cost. For closed queueing networks, we focus on the sequencing problem and optimize the throughput. We compare the robust solutions to those derived by fluid control, dynamic programming and stochastic input control. We show that the robust control policy leads to better performance. Robust optimization emerges as a promising methodology to address a wide range of multiclass queueing networks subject to uncertainty, as it leads to representations of randomness that make few assumptions on the underlying probabilities. It also remains numerically tractable, and provides theoretical insights into the structure of the optimal control policy.
Book Synopsis An Intuitive Condition for Stability and Performance Analysis of Multiclass Queueing Networks by : Kevin D. Glazebrook
Download or read book An Intuitive Condition for Stability and Performance Analysis of Multiclass Queueing Networks written by Kevin D. Glazebrook and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present an intuitive stability condition for open multiclass queueing networks with Bernoulli routing: if each station has enough service capacity to cope with its peak traffic intensity, then the network is stable under any stationary nonidling scheduling policy. The condition is close to sharp for networks with light traffic between stations. Under this peak-rate condition, in the case of Markovian networks, we derive a closed-form upper bound on the time-average number of customers in the system, which is uniformly valid under all stationary nonidling policies. Our proof combines two recent results concerning (1) the relation between stability and performance via linear programming developed by Kumar and Meyn (1996); and (2) the work decomposition laws for multiclass queueing networks of Bertsimas and Ni?o-Mora (1999). The stability condition is tested on a generalization of the Lu-Kumar network, which shows how its quality depends on the degree of network connectivity.
