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Dispatching systems, where arriving jobs are immediately assigned to one of multiple queues, are ubiquitous in computer systems and service systems. A natural and practically relevant model is one in which each queue serves jobs in FCFS…

Performance · Computer Science 2024-01-30 Runhan Xie , Isaac Grosof , Ziv Scully

In this paper, motivated by considerations of server utilization and energy consumptions in cloud computing, we investigate a homogeneous queueing system with a threshold-based workload control scheme. In this system, a virtual machine will…

Probability · Mathematics 2018-07-18 Qihui Bu , Liwei Liuand Yiqiang Q. Zhao

Load balancing algorithms play a crucial role in delivering robust application performance in data centers and cloud networks. Recently, strong interest has emerged in Join-the-Idle-Queue (JIQ) algorithms, which rely on tokens issued by…

Probability · Mathematics 2017-06-06 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a scheduler that governs the assignment of tasks in the queue to the server. The server has an availability state that indicates, at…

Applications · Statistics 2021-01-15 Michael Lin , Richard J. La , Nuno C. Martins

The paper studies approximations and control of a processor sharing (PS) server where the service rate depends on the number of jobs occupying the server. The control of such a system is implemented by imposing a limit on the number of jobs…

Systems and Control · Computer Science 2014-09-02 Varun Gupta , Jiheng Zhang

A fundamental challenge in large-scale cloud networks and data centers is to achieve highly efficient server utilization and limit energy consumption, while providing excellent user-perceived performance in the presence of uncertain and…

Probability · Mathematics 2017-06-23 Debankur Mukherjee , Souvik Dhara , Sem Borst , Johan S. H. van Leeuwaarden

We consider a switch operating under the MaxWeight scheduling algorithm, under any traffic pattern such that all the ports are loaded. This system is interesting to study since the queue lengths exhibit a multi-dimensional state-space…

Probability · Mathematics 2015-06-11 Siva Theja Maguluri , R. Srikant

We consider the following distributed service model: jobs with unit mean, general distribution, and independent processing times arrive as a renewal process of rate $\lambda n$, with $0<\lambda<1$, and are immediately dispatched to one of…

Probability · Mathematics 2018-07-10 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

In this paper, we investigate the problem of assignment of $K$ identical servers to a set of $N$ parallel queues in a time slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server…

Optimization and Control · Mathematics 2016-11-17 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

Joining the shortest or least loaded queue among $d$ randomly selected queues are two fundamental load balancing policies. Under both policies the dispatcher does not maintain any information on the queue length or load of the servers. In…

Performance · Computer Science 2021-01-25 Tim Hellemans , Benny Van Houdt

Optical switches have been drawing attention due to their large data bandwidth and low power consumption. However, scheduling policies need to account for the schedule reconfiguration delay of optical switches to achieve good performance.…

Optimization and Control · Mathematics 2017-01-23 Chang-Heng Wang , Siva Theja Maguluri , Tara Javidi

We consider a horizontal traffic queue (HTQ) on a periodic road segment, where vehicles arrive according to a spatio-temporal Poisson process, and depart after traveling a distance that is sampled independently and identically from a…

Dynamical Systems · Mathematics 2016-05-25 Mohammad Motie , Ketan Savla

Tandem queueing networks are widely used to model systems where services are provided in sequential stages. In this study, we assume that each station in the tandem system operates under a general renewal process. Additionally, we assume…

Probability · Mathematics 2024-11-13 Eliran Sherzer

We consider many-server queueing systems with heterogeneous exponential servers and renewal arrivals. The service rate of each server is a random variable drawn from a given distribution. We develop a framework for analyzing the heavy…

Probability · Mathematics 2019-05-13 Burak Büke , Wenyi Qin

This paper provides a mathematical framework for estimation of the service time distribution and the expected service time of an infinite-server queueing system with a nonhomogeneous Poisson arrival process, in the case of partial…

Statistics Theory · Mathematics 2018-05-29 A. Goldenshluger , D. T. Koops

Till today we dreamt of imperceptible delay in a network. The computer science research grows today faster than ever offering more and more services (computational representational, graphical, intelligent implication etc) to its user. But…

Networking and Internet Architecture · Computer Science 2011-10-18 Soumen Kanrar , M Siraj

We study a class of scheduling problems, where each job is divided into a batch of unit-size tasks and these tasks can be executed in parallel on multiple servers with New-Better-than-Used (NBU) service time distributions. While many delay…

Networking and Internet Architecture · Computer Science 2023-10-02 Yin Sun , C. Emre Koksal , Ness B. Shroff

It is well-known that the power-of-d choices routing algorithm maximizes throughput and is heavy-traffic optimal in load balancing systems with homogeneous servers. However, if the servers are heterogeneous, throughput optimality does not…

Probability · Mathematics 2022-01-12 Daniela Hurtado-Lange , Siva Theja Maguluri

Inspired by the work of Atar and Miyazawa [1] (2026) as well as applications to energy-saving problems, we are interested in the heavy-traffic limit of the stationary queue length distribution, which is not addressed in [1]. In this paper,…

Probability · Mathematics 2026-04-13 Masahiro Kobayashi , Masakiyo Miyazawa , Yutaka Sakuma

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden
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