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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…

网络与互联网体系结构 · 计算机科学 2023-10-02 Yin Sun , C. Emre Koksal , Ness B. Shroff

We consider the job assignment problem in a multi-server system consisting of $N$ parallel processor sharing servers, categorized into $M$ ($\ll N$) different types according to their processing capacity or speed. Jobs of random sizes…

分布式、并行与集群计算 · 计算机科学 2015-02-23 Arpan Mukhopadhyay , A. Karthik , Ravi R. Mazumdar

Distributed load balancing is the act of allocating jobs among a set of servers as evenly as possible. There are mainly two versions of the load balancing problem that have been studied in the literature: static and dynamic. The static…

性能 · 计算机科学 2020-11-04 Nitish K. Panigrahy , Thirupathaiah Vasantam , Prithwish Basu , Don Towsley

This paper presents scheduling algorithms for procrastinators, where the speed that a procrastinator executes a job increases as the due date approaches. We give optimal off-line scheduling policies for linearly increasing speed functions.…

数据结构与算法 · 计算机科学 2011-01-05 Michael A. Bender , Raphael Clifford , Kostas Tsichlas

This paper examines a continuous-time routing system with general interarrival and service time distributions, operating under the join-the-shortest-queue and power-of-two-choices policies. Under a weaker set of assumptions than those…

概率论 · 数学 2025-03-28 Jin Guang , Yaosheng Xu , J. G. Dai

The memory capacity in edge devices is often limited due to constraints on cost, size, and power. Consequently, memory competition leads to inevitable page swapping in memory-constrained mixed-criticality edge devices, causing slow storage…

操作系统 · 计算机科学 2025-11-26 Meng-Chia Lee , Wen Sheng Lim , Yuan-Hao Chang , Tei-Wei Kuo

Efficient multi-robot task allocation (MRTA) is fundamental to various time-sensitive applications such as disaster response, warehouse operations, and construction. This paper tackles a particular class of these problems that we call…

多智能体系统 · 计算机科学 2023-08-21 Steve Paul , Wenyuan Li , Brian Smyth , Yuzhou Chen , Yulia Gel , Souma Chowdhury

We study scheduling problems on a machine with varying speed. Assuming a known speed function we ask for a cost-efficient scheduling solution. Our main result is a PTAS for minimizing the total weighted completion time in this setting. This…

数据结构与算法 · 计算机科学 2014-03-06 Nicole Megow , José Verschae

This paper studies load balancing for many-server ($N$ servers) systems. Each server has a buffer of size $b-1,$ and can have at most one job in service and $b-1$ jobs in the buffer. The service time of a job follows the Coxian-2…

概率论 · 数学 2021-02-18 Xin Liu , Kang Gong , Lei Ying

Using public data (Forbes Global 2000) we show that the asset sizes for the largest global firms follow a Pareto distribution in an intermediate range, that is ``interrupted'' by a sharp cut-off in its upper tail, where it is totally…

综合金融 · 定量金融 2015-06-17 Davide Fiaschi , Imre Kondor , Matteo Marsili , Valerio Volpati

Serverless functions are a cloud computing paradigm where the provider takes care of resource management tasks such as resource provisioning, deployment, and auto-scaling. The only resource management task that developers are still in…

分布式、并行与集群计算 · 计算机科学 2021-06-08 Simon Eismann , Long Bui , Johannes Grohmann , Cristina L. Abad , Nikolas Herbst , Samuel Kounev

Stochastic service systems describe situations in which customers compete for service from scarce resources. Think of check-in lines at airports, waiting rooms in hospitals or queues in supermarkets, where the scarce resource is human…

概率论 · 数学 2017-06-30 Britt W. J. Mathijsen

Computing a (short) path between two vertices is one of the most fundamental primitives in graph algorithmics. In recent years, the study of paths in temporal graphs, that is, graphs where the vertex set is fixed but the edge set changes…

离散数学 · 计算机科学 2021-05-27 Arnaud Casteigts , Anne-Sophie Himmel , Hendrik Molter , Philipp Zschoche

We study a single server FIFO queue that offers general service. Each of n customers enter the queue at random time epochs that are inde- pendent and identically distributed. We call this the random scattering traffic model, and the…

概率论 · 数学 2017-08-21 Peter W. Glynn , Harsha Honnappa

We consider an online scheduling problem, motivated by the issues present at the joints of networks using ATM and TCP/IP. Namely, IP packets have to broken down to small ATM cells and sent out before their deadlines, but cells corresponding…

数据结构与算法 · 计算机科学 2009-04-14 Christoph Durr , Lukasz Jez , Nguyen Kim Thang

We consider an agent-based model in which two types of agents interact locally over a graph and have a common intolerance threshold $\tau$ for changing their types with exponentially distributed waiting times. The model is equivalent to an…

社会与信息网络 · 计算机科学 2018-01-08 Hamed Omidvar , Massimo Franceschetti

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

分布式、并行与集群计算 · 计算机科学 2016-03-21 Elli Zavou , Antonio Fernández Anta

We study a two-type server queueing system where flexible Type-I servers, upon their initial interaction with jobs, decide in real time whether to process them independently or in collaboration with dedicated Type-II servers. Independent…

最优化与控制 · 数学 2026-01-21 Shuwen Lu , Mark E. Lewis , Jamol Pender

When parallelizing a set of jobs across many servers, one must balance a trade-off between granting priority to short jobs and maintaining the overall efficiency of the system. When the goal is to minimize the mean flow time of a set of…

性能 · 计算机科学 2020-11-24 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

We carry out a delay stability analysis (i.e., determine conditions under which expected steady-state delays at a queue are finite) for a simple 3-queue system operated under the Max-Weight scheduling policy, for the case where one of the…

系统与控制 · 计算机科学 2012-07-25 Mihalis G. Markakis , Eytan Modiano , John N. Tsitsiklis