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We study a natural variant of scheduling that we call \emph{partial scheduling}: In this variant an instance of a scheduling problem along with an integer $k$ is given and one seeks an optimal schedule where not all, but only $k$ jobs, have…

Data Structures and Algorithms · Computer Science 2020-10-02 Jesper Nederlof , Céline Swennenhuis

We investigate the stability condition for redundancy-d systems where each of the servers follows a processor-sharing (PS) discipline. We allow for generally distributed job sizes, with possible dependence among the d replica sizes being…

Probability · Mathematics 2020-03-09 Youri Raaijmakers , Sem Borst , Onno Boxma

We study $n$ parallel queues in an extreme heavy-traffic regime: each server works at rate $n$, while jobs arrive to a dispatcher at rate $n^2-(a-b)\sqrt{n}$, with fixed $a>b>0$. Arrivals are routed by a marginal join-the-shortest-queue…

Probability · Mathematics 2026-05-19 Sayan Banerjee , Amarjit Budhiraja , Eva Loeser

In this paper, we study systems where each job or request can be split into a flexible number of sub-jobs up to a maximum limit. The number of sub-jobs a job is split into depends on the number of available servers found upon its arrival.…

Probability · Mathematics 2023-09-04 Samira Ghanbarian , Arpan Mukhopadhyay , Fabrice M. Guillemin , Ravi R. Mazumdar

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 $\mathcal{NP}$-hard problem $\mathrm{P} \mathbf{\vert} \mathrm{pmtn, setup=s_i} \mathbf{\vert} \mathrm{C_{\max}}$, the problem of scheduling $n$ jobs, which are divided into $c$ classes, on $m$ identical parallel machines…

Data Structures and Algorithms · Computer Science 2025-08-21 Max A. Deppert , David Fischer , Klaus Jansen

Vehicle teleoperation has potential applications in fallback solutions for autonomous vehicles, remote delivery services, and hazardous operations. However, network delays and limited situational awareness can compromise teleoperation…

Robotics · Computer Science 2024-10-28 Jai Prakash , Michele Vignati , Edoardo Sabbioni

We study the scheduling problem of makespan minimization while taking machine conflicts into account. Machine conflicts arise in various settings, e.g., shared resources for pre- and post-processing of tasks or spatial restrictions. In this…

Discrete Mathematics · Computer Science 2021-11-15 Moritz Buchem , Linda Kleist , Daniel Schmidt genannt Waldschmidt

Vehicle teleoperation is an interesting feature in many fields. A typical problem of teleoperation is communication time delay which, together with actuator saturation and environmental disturbance, can cause a vehicle deviation from the…

Robotics · Computer Science 2023-01-12 Jai Prakash , Michele Vignati , Edoardo Sabbioni , Federico Cheli

The evolution of Large Language Model (LLM) serving towards complex, distributed architectures--specifically the P/D-separated, large-scale DP+EP paradigm--introduces distinct scheduling challenges. Unlike traditional deployments where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-19 Jian Tian , Shuailong Li , Yang Cao , Wenbo Cui , Minghan Zhu , Wenkang Wu , Jianming Zhang , Yanpeng Wang , Zhiwen Xiao , Zhenyu Hou , Dou Shen

High-Performance Computing (HPC) job scheduling involves balancing conflicting objectives such as minimizing makespan, reducing wait times, optimizing resource use, and ensuring fairness. Traditional methods, including heuristic-based,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-05 Prachi Jadhav , Hongwei Jin , Ewa Deelman , Prasanna Balaprakash

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…

Data Structures and Algorithms · Computer Science 2022-07-19 Uwe Schwiegelshohn

We consider non-preemptive scheduling of MapReduce jobs with multiple tasks in the practical scenario where each job requires several map-reduce rounds. We seek to minimize the average weighted completion time and consider scheduling on…

Data Structures and Algorithms · Computer Science 2016-02-18 Dimitris Fotakis , Ioannis Milis , Orestis Papadigenopoulos , Vasilis Vassalos , Georgios Zois

We study shared processor scheduling of $\textit{multiprocessor}$ weighted jobs where each job can be executed on its private processor and simultaneously on possibly $\textit{many}$ processors shared by all jobs in order to reduce their…

Discrete Mathematics · Computer Science 2024-01-26 Dariusz Dereniowski , Wieslaw Kubiak

Consider the many shared resource scheduling problem where jobs have to be scheduled on identical parallel machines with the goal of minimizing the makespan. However, each job needs exactly one additional shared resource in order to be…

Data Structures and Algorithms · Computer Science 2022-10-05 Max A. Deppert , Klaus Jansen , Marten Maack , Simon Pukrop , Malin Rau

Job scheduling for a MapReduce cluster has been an active research topic in recent years. However, measurement traces from real-world production environment show that the duration of tasks within a job vary widely. The overall elapsed time…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-13 Huanle Xu , Wing Cheong Lau

Partitioned multiprocessor scheduling has been widely accepted in academia and industry to statically assign and partition real-time tasks onto identical multiprocessor systems. This paper studies fixed-priority partitioned multiprocessor…

Data Structures and Algorithms · Computer Science 2016-06-23 Jian-Jia Chen

Multi-server systems have received increasing attention with important implementations such as Google MapReduce, Hadoop, and Spark. Common to these systems are a fork operation, where jobs are first divided into tasks that are processed in…

Performance · Computer Science 2016-10-21 Markus Fidler , Brenton Walker , Yuming Jiang

We study the vehicle routing problem with time windows (VRPTW) and stochastic travel times, in which the decision-maker observes related contextual information, represented as feature variables, before making routing decisions. Despite the…

Machine Learning · Computer Science 2024-02-13 Breno Serrano , Alexandre M. Florio , Stefan Minner , Maximilian Schiffer , Thibaut Vidal

We consider variants of the restricted assignment problem where a set of jobs has to be assigned to a set of machines, for each job a size and a set of eligible machines is given, and the jobs may only be assigned to eligible machines with…

Data Structures and Algorithms · Computer Science 2022-03-14 Marten Maack , Simon Pukrop , Anna Rodriguez Rasmussen