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Designing and implementing efficient parallel priority schedulers is an active research area. An intriguing proposed design is the Multi-Queue: given $n$ threads and $m\ge n$ distinct priority queues, task insertions are performed uniformly…

Data Structures and Algorithms · Computer Science 2021-09-03 Anastasiia Postnikova , Nikita Koval , Giorgi Nadiradze , Dan Alistarh

We consider a system of $N$ parallel single-server queues with unit exponential service rates and a single dispatcher where tasks arrive as a Poisson process of rate $\lambda(N)$. When a task arrives, the dispatcher assigns it to a server…

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

This paper studies the sensitivity (or insensitivity) of a class of load balancing algorithms that achieve asymptotic zero-waiting in the sub-Halfin-Whitt regime, named LB-zero. Most existing results on zero-waiting load balancing…

Probability · Mathematics 2022-02-17 Xin Liu , Kang Gong , Lei Ying

In practice, standard scheduling of parallel computing jobs almost always leaves significant portions of the available hardware unused, even with many jobs still waiting in the queue. The simple reason is that the resource requests of these…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-04 Florian Spenke , Karsten Balzer , Sascha Frick , Bernd Hartke , Johannes M. Dieterich

We address the problem of giving robust performance bounds based on the study of the asymptotic behavior of the insensitive load balancing schemes when the number of servers and the load scales jointly. These schemes have the desirable…

Performance · Computer Science 2016-05-11 Matthieu Jonckheere , Balakrishna Prabhu

In modern computer systems, jobs are divided into short tasks and executed in parallel. Empirical observations in practical systems suggest that the task service times are highly random and the job service time is bottlenecked by the…

Performance · Computer Science 2017-02-08 Yin Sun , C. Emre Koksal , Ness B. Shroff

Motivated by the increasing popularity of learning and predicting human user behavior in communication and computing systems, in this paper, we investigate the fundamental benefit of predictive scheduling, i.e., predicting and pre-serving…

Optimization and Control · Mathematics 2013-09-05 Longbo Huang , Shaoquan Zhang , Minghua Chen , Xin Liu

This paper presents a multiagent approach as a paradigm for scheduling parallel jobs in a parallel system. Scheduling parallel jobs is performed as a means to balance the load of a system in order to improve the performance of a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Jaderick P. Pabico

Motivated by emerging applications in online matching platforms and marketplaces, we study a matching queue. Customers and servers that arrive in a matching queue depart as soon as they are matched. While state-dependent control is an…

Probability · Mathematics 2024-12-03 Sushil Mahavir Varma , Siva Theja Maguluri

Multiserver jobs, which are jobs that occupy multiple servers simultaneously during service, are prevalent in today's computing clusters. But little is known about the delay performance of systems with multiserver jobs. We consider queueing…

Performance · Computer Science 2023-04-17 Yige Hong , Weina Wang

Deep neural networks training jobs and other iterative computations frequently include checkpoints where jobs can be canceled based on the current value of monitored metrics. While most of existing results focus on the performance of all…

Performance · Computer Science 2022-09-30 Yuan Yao , Marco Paolieri , Leana Golubchik

To keep pace with Moore's law, chip designers have focused on increasing the number of cores per chip rather than single core performance. In turn, modern jobs are often designed to run on any number of cores. However, to effectively…

Performance · Computer Science 2017-11-02 Benjamin Berg , Jan-Pieter Dorsman , Mor Harchol-Balter

We consider the weighted completion time minimization problem for capacitated parallel machines, which is a fundamental problem in modern cloud computing environments. We study settings in which the processed jobs may have varying duration,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-28 Ilan Reuven Cohen , Izack Cohen , Iyar Zaks

Given n jobs with release dates, deadlines and processing times we consider the problem of scheduling them on m parallel machines so as to minimize the total energy consumed. Machines can enter a sleep state and they consume no energy in…

Data Structures and Algorithms · Computer Science 2019-10-01 Antonios Antoniadis , Naveen Garg , Gunjan Kumar , Nikhil Kumar

We consider a system of $N$ parallel queues with identical exponential service rates and a single dispatcher where tasks arrive as a Poisson process. When a task arrives, the dispatcher always assigns it to an idle server, if there is any,…

Probability · Mathematics 2016-12-14 D. Mukherjee , S. C. Borst , J. S. H. van Leeuwaarden , P. A. Whiting

Dynamic affinity load balancing of multi-type tasks on multi-skilled servers, when the service rate of each task type on each of the servers is known and can possibly be different from each other, is an open problem for over three decades.…

Performance · Computer Science 2020-03-05 Ali Yekkehkhany , Rakesh Nagi

Parallel thinking has emerged as a promising paradigm for reasoning, yet it imposes significant computational burdens. Existing efficiency methods primarily rely on local, per-trajectory signals and lack principled mechanisms to exploit…

Computation and Language · Computer Science 2026-02-12 Tong Zheng , Chengsong Huang , Runpeng Dai , Yun He , Rui Liu , Xin Ni , Huiwen Bao , Kaishen Wang , Hongtu Zhu , Jiaxin Huang , Furong Huang , Heng Huang

Consider a system with $K$ parallel queues in which the server for each queue processes jobs at rate $n$ and the total arrival rate to the system is $nK-\upsilon \sqrt{n}$ where $\upsilon \in (0, \infty)$ and $n$ is large. We study…

Probability · Mathematics 2024-02-16 Sayan Banerjee , Amarjit Budhiraja , Benjamin Estevez

We consider the problem of minimizing queue-length costs in a system with heterogenous parallel servers, operating in a many-server heavy-traffic regime with nondegenerate slowdown. This regime is distinct from the well-studied heavy…

Probability · Mathematics 2014-03-24 Rami Atar , Itai Gurvich