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We study the problem of computing a preemptive schedule of equal-length jobs with given release times, deadlines and weights. Our goal is to maximize the weighted throughput, which is the total weight of completed jobs. In Graham's notation…

Data Structures and Algorithms · Computer Science 2007-05-23 Philippe Baptiste , Marek Chrobak , Christoph Durr , Wojciech Jawor , Nodari Vakhania

This work addresses the problem of assigning periodic tasks to workers in a balanced way, i.e., so that each worker performs every task with the same frequency over the long term. The input consists of a list of tasks to be repeated weekly…

Discrete Mathematics · Computer Science 2025-05-27 Héloïse Gachet , Frédéric Meunier

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees, defined by instantaneous throughput and hard packet deadlines. Using a network slicing model to decouple the queueing dynamics between flows,…

Networking and Internet Architecture · Computer Science 2026-04-21 Nicholas Jones , Eytan Modiano

We consider a natural generalization of scheduling $n$ jobs on $m$ parallel machines so as to minimize the makespan. In our extension the set of jobs is partitioned into several classes and a machine requires a setup whenever it switches…

Data Structures and Algorithms · Computer Science 2018-09-28 Klaus Jansen , Marten Maack , Alexander Mäcker

We discuss the complexity of path enumeration and counting in weighted temporal graphs. In a weighted temporal graph, each edge has an availability time, a traversal time and some real cost. We introduce two bicriteria temporal min-cost…

Computational Complexity · Computer Science 2020-07-10 Petra Mutzel , Lutz Oettershagen

The online feasibility problem (for a set of sporadic tasks) asks whether there is a scheduler that always prevents deadline misses (if any), whatever the sequence of job releases, which is a priori} unknown to the scheduler. In the…

Computer Science and Game Theory · Computer Science 2017-04-05 Gilles Geeraerts , Joël Goossens , Thi-Van-Anh Nguyen

The main objective of this paper is to develop the two different ways in which round robin architecture is modified and made suitable to be implemented in real time and embedded systems. The scheduling algorithm plays a significant role in…

Operating Systems · Computer Science 2009-12-04 C. Yaashuwanth , Dr. R. Ramesh

The main objective of this paper is to improve the Round Robin scheduling algorithm using the dynamic time slice concept. CPU scheduling becomes very important in accomplishing the operating system (OS) design goals. The intention should be…

Operating Systems · Computer Science 2013-07-17 Neetu Goel , R. B. Garg

Scheduling on related machines ($Q||C_{\max}$) is one of the most important problems in the field of Algorithmic Mechanism Design. Each machine is controlled by a selfish agent and her valuation can be expressed via a single parameter, her…

Computer Science and Game Theory · Computer Science 2009-07-20 George Christodoulou , Annamaria Kovacs

The performance of anytime algorithms can be improved by simultaneously solving several instances of algorithm-problem pairs. These pairs may include different instances of a problem (such as starting from a different initial state),…

Artificial Intelligence · Computer Science 2011-06-28 L. Finkelstein , S. Markovitch , E. Rivlin

In 1999, Jacobson and Lehel conjectured that for $k \geq 3$, every $k$-regular Hamiltonian graph has cycles of at least linearly many different lengths. This was further strengthened by Verstra\"{e}te, who asked whether the regularity can…

Combinatorics · Mathematics 2021-04-16 Matija Bucić , Lior Gishboliner , Benny Sudakov

Time-dependent scheduling with linear deterioration involves determining when to execute jobs whose processing times degrade as their beginning is delayed. Each job i is associated with a release time r_i and a processing time function…

Data Structures and Algorithms · Computer Science 2023-07-04 Angelos Gkikas , Dimitrios Letsios , Tomasz Radzik , Kathleen Steinhöfel

In Real-time system, utilization based schedulability test is a common approach to determine whether or not tasks can be admitted without violating deadline requirements. The exact problem has previously been proven intractable even upon…

Software Engineering · Computer Science 2011-01-11 Jagbeer Singh

This work focuses on exact methods for a Simultaneous Vehicle Routing and Crew Scheduling Problem in long-haul transport. Pickup-and-delivery requests with time windows must be fullfiled over a multi-day planning horizon. Unlike some…

Optimization and Control · Mathematics 2024-05-31 Mauro Lucci , Daniel Severin , Paula Zabala

We consider an online preemptive scheduling problem where jobs with deadlines arrive sporadically. A commitment requirement is imposed such that the scheduler has to either accept or decline a job immediately upon arrival. The scheduler's…

Data Structures and Algorithms · Computer Science 2011-10-07 Shiyao Chen , Lang Tong , Ting He

A model has been proposed in [Baruah et al., in Proceedings of the IEEE Real-Time Systems Symposium 2012] for representing recurrent precedence-constrained tasks to be executed on multiprocessor platforms, where each recurrent task is…

Data Structures and Algorithms · Computer Science 2019-07-01 Vincenzo Bonifaci , Alberto Marchetti-Spaccamela , Sebastian Stiller , Andreas Wiese

In this paper, we proposed an effective approach for scheduling of multiprocessor unit time tasks with chain precedence on to large multiprocessor system. The proposed longest chain maximum processor scheduling algorithm is proved to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-14 T. K. Agrawal , R. Sharma , M. Ghose , A. Sahu

In this paper we study the classical scheduling problem of minimizing the total weighted completion time on a single machine with the constraint that one specific job must be scheduled at a specified position. We give dynamic programs with…

Data Structures and Algorithms · Computer Science 2017-10-31 G. Calinescu , F. Jaehn , M. Li , K. Wang

We study the Parallel Task Scheduling problem $Pm|size_j|C_{\max}$ with a constant number of machines. This problem is known to be strongly NP-complete for each $m \geq 5$, while it is solvable in pseudo-polynomial time for each $m \leq 3$.…

Computational Complexity · Computer Science 2017-05-15 Sören Henning , Klaus Jansen , Malin Rau , Lars Schmarje

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

Discrete Mathematics · Computer Science 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar