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In a large-scale computing cluster, the job completions can be substantially delayed due to two sources of variability, namely, variability in the job size and that in the machine service capacity. To tackle this issue, existing works have…

分布式、并行与集群计算 · 计算机科学 2017-07-07 Huanle Xu , Gustavo de Veciana , Wing Cheong Lau , Kunxiao Zhou

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…

最优化与控制 · 数学 2016-11-17 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

分布式、并行与集群计算 · 计算机科学 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

We obtain asymptotic bounds for the tail distribution of steady-state waiting time in a two server queue where each server processes incoming jobs at a rate equal to the rate of their arrivals (that is, the half-loaded regime). The job…

概率论 · 数学 2016-04-05 Jose Blanchet , Karthyek Murthy

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

数据结构与算法 · 计算机科学 2022-07-19 Uwe Schwiegelshohn

We consider a single server retrial queue with the server subject to interruptions and classical retrial policy for the access from the orbit to the server. We analyze the equilibrium distribution of the system and obtain the generating…

概率论 · 数学 2009-02-13 Tewfik Kernane

In this paper, the throughput of relay networks with multiple source-destination pairs under queueing constraints has been investigated for both variable-rate and fixed-rate schemes. When channel side information (CSI) is available at the…

信息论 · 计算机科学 2015-10-08 Yi Li , M. Cenk Gursoy , Senem Velipasalar

Zero queueing delay is highly desirable in large-scale computing systems. Existing work has shown that it can be asymptotically achieved by using the celebrated Power-of-$d$-choices (pod) policy with a probe overhead $d =…

性能 · 计算机科学 2020-11-03 Wentao Weng , Weina Wang

This paper introduces the \emph{serial-parallel decision problem}. Consider an online scheduler that receives a series of tasks, where each task has both a parallel and a serial implementation. The parallel implementation has the advantage…

数据结构与算法 · 计算机科学 2024-05-21 William Kuszmaul , Alek Westover

Consider a system of identical server pools where tasks with exponentially distributed service times arrive as a time-inhomogenenous Poisson process. An admission threshold is used in an inner control loop to assign incoming tasks to server…

概率论 · 数学 2024-04-08 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

Several systems possess the flexibility to serve requests in more than one way. For instance, a distributed storage system storing multiple replicas of the data can serve a request from any of the multiple servers that store the requested…

网络与互联网体系结构 · 计算机科学 2013-11-13 Nihar B. Shah , Kangwook Lee , Kannan Ramchandran

The shortest-remaining-processing-time (SRPT) scheduling policy has been extensively studied, for more than 50 years, in single-server queues with infinitely patient jobs. Yet, much less is known about its performance in multiserver queues.…

概率论 · 数学 2021-02-12 Jing Dong , Rouba Ibrahim

In most service systems, the servers are humans who desire to experience a certain level of idleness. In call centers, this manifests itself as the call avoidance behavior, where servers strategically adjust their service rate to strike a…

概率论 · 数学 2025-05-28 Burak Büke , Goncalo dos Reis , Vadim Platonov

Continuous Integration (CI) implies that a whole developer team works together on the mainline of a software project. CI systems automate the builds of a software. Sometimes a developer checks in code, which breaks the build. A broken build…

软件工程 · 计算机科学 2017-03-30 Klérisson V. R. Paixão , Crícia Z. Felício , Fernanda M. Delfim , Marcelo de A. Maia

In the Serial Parallel Decision Problem (SPDP), introduced by Kuszmaul and Westover [SPAA'24], an algorithm receives a series of tasks online, and must choose for each between a serial implementation and a parallelizable (but less…

数据结构与算法 · 计算机科学 2024-08-30 Nathan S. Sheffield , Alek Westover

We study a parallel queueing system with multiple types of servers and customers. A bipartite graph describes which pairs of customer-server types are compatible. We consider the service policy that always assigns servers to the first,…

概率论 · 数学 2018-05-14 Ivo Adan , Marko Boon , Gideon Weiss

The task of completing jobs with decaying value arises in a number of application areas including healthcare operations, communications engineering, and perishable inventory control. We consider a system in which a single server completes a…

最优化与控制 · 数学 2016-09-20 Neal Master , Nicholas Bambos

We introduce a general framework for the mean-field analysis of large-scale load-balancing networks with general service distributions. Specifically, we consider a parallel server network that consists of N queues and operates under the…

概率论 · 数学 2015-12-23 Reza Aghajani , Xingjie Li , Kavita Ramanan

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

性能 · 计算机科学 2025-10-17 Yishun Luo , Martin Zubeldia

A fundamental problem in distributed computing is the distribution of requests to a set of uniform servers without a centralized controller. Classically, such problems are modeled as static balls into bins processes, where $m$ balls (tasks)…

分布式、并行与集群计算 · 计算机科学 2016-03-08 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Lars Nagel , Chris Wastell