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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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

In this paper, to analyze end-to-end timing behavior in heterogeneous processor and network environments accurately, we adopt a heterogeneous selection value on communication contention (HSV_CC) algorithm, which can synchronize tasks and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Jaeyong Rho , Takuya Azumi , Mayo Nakagawa , Kenya Sato , Nobuhiko Nishio

Arrival processes to service systems often display (i) larger than anticipated fluctuations, (ii) a time-varying rate, and (iii) temporal correlation. Motivated by this, we introduce a specific non-homogeneous Poisson process that…

Performance · Computer Science 2020-06-02 M. Heemskerk , M. Mandjes , B. Mathijsen

We study classical deadline-based preemptive scheduling of tasks in a computing environment equipped with both dynamic speed scaling and sleep state capabilities: Each task is specified by a release time, a deadline and a processing volume,…

Data Structures and Algorithms · Computer Science 2014-07-04 Antonios Antoniadis , Chien-Chung Huang , Sebastian Ott

We consider the problem of online preemptive scheduling on a single machine to minimize the total flow time. In clairvoyant scheduling, where job processing times are revealed upon arrival, the Shortest Remaining Processing Time (SRPT)…

Data Structures and Algorithms · Computer Science 2026-02-16 Alexander Lindermayr , Guido Schäfer , Jens Schlöter , Leen Stougie

Queues with setup time are extensively studied because they have application in performance evaluation of power-saving data centers. In a data center, there are a huge number of servers which consume a large amount of energy. In the current…

Performance · Computer Science 2015-12-15 Tuan Phung-Duc

Coordinating time-sensitive deliveries in environments like hospitals poses a complex challenge, particularly when managing multiple online pickup and delivery requests within strict time windows using a team of heterogeneous robots.…

Robotics · Computer Science 2025-05-14 Ashish Verma , Avinash Gautam , Tanishq Duhan , V. S. Shekhawat , Sudeept Mohan

This paper studies a generalized busy-time scheduling model on heterogeneous machines. The input to the model includes a set of jobs and a set of machine types. Each job has a size and a time interval during which it should be processed.…

Data Structures and Algorithms · Computer Science 2021-05-14 Mozhengfu Liu , Xueyan Tang

We consider the problem of load balancing in parallel queues by transferring customers between them at discrete points in time. Holding costs accrue as customers wait in the queue, while transfer decisions incur both fixed (setup) costs and…

Optimization and Control · Mathematics 2025-08-13 Timothy C. Y. Chan , Jangwon Park , Vahid Sarhangian

We study the asymptotic response time tail in the M/G/n multi-server queue with heavy-tailed (regularly varying) job sizes, a setting representative of modern computing workloads. For single-server systems, tail optimization is well…

Performance · Computer Science 2026-05-14 Zhouzi Li , Mor Harchol-Balter , Alan Scheller-Wolf

Real-time scheduling and locking protocols are fundamental facilities to construct time-critical systems. For parallel real-time tasks, predictable locking protocols are required when concurrent sub-jobs mutually exclusive access to shared…

Operating Systems · Computer Science 2020-07-03 Maolin Yang , Zewei Chen , Xu Jiang , Nan Guan , Hang Lei

The Join-the-Shortest-Queue-d routing policy is considered for a large system with $n$ servers. Moderate deviation principles (MDP) for the occupancy process and the empirical queue length process are established as $n\to \infty$. Each MDP…

Probability · Mathematics 2025-03-06 Zhenhua Wang , Ruoyu Wu

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

With multiple identical unit speed servers, the online problem of scheduling jobs that migrate between two phases, limitedly parallelizable or completely sequential, and choosing their respective speeds to minimize the total flow time is…

Data Structures and Algorithms · Computer Science 2022-05-03 Rahul Vaze

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

Motivated by distribution problems arising in the supply chain of Haleon, we investigate a discrete optimization problem that we call the "container delivery scheduling problem". The problem models a supplier dispatching ordered products…

Optimization and Control · Mathematics 2023-07-03 Anna Collins , Dimitrios Letsios , Gueorgui Mihaylov

We present a silent, self-stabilizing ranking protocol for the population protocol model of distributed computing, where agents interact in randomly chosen pairs to solve a common task. We are given $n$ anonymous agents, and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Petra Berenbrink , Robert Elsässer , Thorsten Götte , Lukas Hintze , Dominik Kaaser

We consider a load balancing system comprised of a fixed number of single server queues, operating under the well-known Join-the-Shortest Queue policy, and where jobs/customers are impatient and abandon if they do not receive service after…

Probability · Mathematics 2023-04-05 Prakirt Raj Jhunjhunwala , Martin Zubeldia , Siva Theja Maguluri

Distributed cloud environments hosting data-intensive applications often experience slowdowns due to network congestion, asymmetric bandwidth, and inter-node data shuffling. These factors are typically not captured by traditional host-level…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-21 Sankalpa Timilsina , Susmit Shannigrahi

In multi-server queueing systems where there is no central queue holding all incoming jobs, job dispatching policies are used to assign incoming jobs to the queue at one of the servers. Classic job dispatching policies such as…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Tuhinangshu Choudhury , Gauri Joshi , Weina Wang , Sanjay Shakkottai