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We consider the processor sharing $M/M/1$-PS queue which also models balking. A customer that arrives and sees $n$ others in the system "balks" (i.e., decides not to enter) with probability $1-b_n$. If $b_n$ is inversely proportional to…

概率论 · 数学 2011-04-26 Qiang Zhen , Johan S. H. van Leeuwaarden , Charles Knessl

This paper studies the effect of an overdispersed arrival process on the performance of an infinite-server system. In our setup, a random environment is modeled by drawing an arrival rate $\Lambda$ from a given distribution every $\Delta$…

概率论 · 数学 2016-02-02 Mariska Heemskerk , Johan van Leeuwaarden , Michel Mandjes

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

数据结构与算法 · 计算机科学 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

We consider a single large language model (LLM) server that serves a heterogeneous stream of queries belonging to $N$ distinct task types. Queries arrive according to a Poisson process, and each type occurs with a known prior probability.…

机器学习 · 计算机科学 2026-01-16 Emre Ozbas , Melih Bastopcu

In balanced allocations, the goal is to place $m$ balls into $n$ bins, so as to minimize the gap (difference of max to average load). The One-Choice process places each ball to a bin sampled independently and uniformly at random. The…

离散数学 · 计算机科学 2023-04-24 Dimitrios Los , Thomas Sauerwald

The allocation of computing tasks for networked distributed services poses a question to service providers on whether centralized allocation management be worth its cost. Existing analytical models were conceived for users accessing…

计算机科学与博弈论 · 计算机科学 2024-04-09 Vincenzo Mancuso , Paolo Castagno , Leonardo Badia , Matteo Sereno , Marco Ajmone Marsan

We investigate a computer network consisting of two layers occurring in, for example, application servers. The first layer incorporates the arrival of jobs at a network of multi-server nodes, which we model as a many-server Jackson network.…

概率论 · 数学 2014-04-29 Maria Vlasiou , Jiheng Zhang , Bert Zwart

This paper considers the scheduling of stochastic jobs on parallel identical machines to minimize the expected total weighted completion time. While this is a classical problem with a significant body of research on approximation algorithms…

数据结构与算法 · 计算机科学 2026-01-27 Benjamin Moseley , Kirk Pruhs , Marc Uetz , Rudy Zhou

We consider a communication network over which transmissions must fulfill the so-called token bucket traffic specification, with a rollout (i.e., predictive) controller that both schedules transmissions and computes the corresponding…

系统与控制 · 电气工程与系统科学 2020-05-11 Florian Jaumann , Stefan Wildhagen , Frank Allgöwer

Recently, coding has been a useful technique to mitigate the effect of stragglers in distributed computing. However, coding in this context has been mainly explored under the assumption of homogeneous workers, although the real-world…

分布式、并行与集群计算 · 计算机科学 2020-02-18 DaeJin Kim , Hyegyeong Park , Junkyun Choi

Edge computing operates between the cloud and end users and strives to provide low-latency computing services for simultaneous users. Redundant use of multiple edge nodes can reduce latency, as edge systems often operate in uncertain…

分布式、并行与集群计算 · 计算机科学 2024-11-26 Pei Peng , Emina Soljanin

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

We consider a system of parallel queues where tasks are assigned (dispatched) to one of the available servers upon arrival. The dispatching decision is based on the full state information, i.e., on the sizes of the new and existing jobs. We…

性能 · 计算机科学 2012-03-23 Esa Hyytiä , Samuli Aalto , Aleksi Penttinen

Speed scaling for a tandem server setting is considered, where there is a series of servers, and each job has to be processed by each of the servers in sequence. Servers have a variable speed, their power consumption being a convex…

数据结构与算法 · 计算机科学 2019-07-11 Rahul Vaze , Jayakrishnan Nair

Large-scale distributed computing systems face two major bottlenecks that limit their scalability: straggler delay caused by the variability of computation times at different worker nodes and communication bottlenecks caused by shuffling…

信息论 · 计算机科学 2017-07-04 Amirhossein Reisizadeh , Ramtin Pedarsani

One typical use case of large-scale distributed computing in data centers is to decompose a computation job into many independent tasks and run them in parallel on different machines, sometimes known as the "embarrassingly parallel"…

分布式、并行与集群计算 · 计算机科学 2014-04-07 Da Wang , Gauri Joshi , Gregory Wornell

This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

理论经济学 · 经济学 2022-12-01 Ata Atay , Christian Trudeau

We consider computing systems that partition jobs into tasks, add redundancy through coding, and assign the encoded tasks to different computing nodes for parallel execution. The expected execution time depends on the level of redundancy.…

信息论 · 计算机科学 2025-10-29 Swapnil Saha , Emina Soljanin , Philip Whiting

Work-stealing is a widely used technique for balancing irregular parallel workloads, and most modern runtime systems adopt lock-free work-stealing deques to reduce contention and improve scalability. However, existing algorithms are…

分布式、并行与集群计算 · 计算机科学 2026-03-09 Raja Sai Nandhan Yadav Kataru , Danial Davarnia , Ali Jannesari

Distributed quantum computing is motivated by the difficulty in building large-scale, individual quantum computers. To solve that problem, a large quantum circuit is partitioned and distributed to small quantum computers for execution.…

量子物理 · 物理学 2023-10-09 Marc Grau Davis , Joaquin Chung , Dirk Englund , Rajkumar Kettimuthu