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In a classical scheduling problem, we are given a set of $n$ jobs of unit length along with precedence constraints and the goal is to find a schedule of these jobs on $m$ identical machines that minimizes the makespan. This problem is…

数据结构与算法 · 计算机科学 2022-08-05 Jesper Nederlof , Céline M. F. Swennenhuis , Karol Węgrzycki

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)…

数据结构与算法 · 计算机科学 2026-02-16 Alexander Lindermayr , Guido Schäfer , Jens Schlöter , Leen Stougie

This paper studies the application of the simulated annealing metaheuristic on the identical parallel machine scheduling problem, a variant of the broader optimal job scheduling problem. In the identical parallel machine scheduling problem,…

分布式、并行与集群计算 · 计算机科学 2024-10-17 Jiaxing Li , David Perkins

This paper considers using predictions in the context of the online Joint Replenishment Problem with Deadlines (JRP-D). Prior work includes asymptotically optimal competitive ratios of $O(1)$ for the clairvoyant setting and $O(\sqrt{n})$ of…

数据结构与算法 · 计算机科学 2025-11-21 Michael Dinitz , Jeremy T. Fineman , Seeun William Umboh

This paper focuses on the analysis of real-time non preemptive multiprocessor scheduling with precedence and several latency constraints. It aims to specify a schedulability condition which enables a designer to check a priori -without…

操作系统 · 计算机科学 2013-01-22 Omar Kermia

Makespan minimization on identical parallel machines is a classical scheduling problem. We consider the online scenario where a sequence of $n$ jobs has to be scheduled non-preemptively on $m$ machines so as to minimize the maximum…

数据结构与算法 · 计算机科学 2012-03-09 Susanne Albers , Matthias Hellwig

In online interval scheduling, the input is an online sequence of intervals, and the goal is to accept a maximum number of non-overlapping intervals. In the more general disjoint path allocation problem, the input is a sequence of requests,…

数据结构与算法 · 计算机科学 2025-01-24 Joan Boyar , Lene M. Favrholdt , Shahin Kamali , Kim S. Larsen

We consider scheduling problems over scenarios where the goal is to find a single assignment of the jobs to the machines which performs well over all possible scenarios. Each scenario is a subset of jobs that must be executed in that…

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

分布式、并行与集群计算 · 计算机科学 2012-09-03 Lev Kazakovtsev

This work introduces a natural variant of the online machine scheduling problem on unrelated machines, which we refer to as the favorite machine model. In this model, each job has a minimum processing time on a certain set of machines,…

数据结构与算法 · 计算机科学 2019-12-30 Cong Chen , Paolo Penna , Yinfeng Xu

In the Scheduling Machines with Capacity Constraints problem, we are given k identical machines, each of which can process at most m_i jobs. M jobs are also given, where job j has a non-negative processing time length t_j >= 0. The task is…

数据结构与算法 · 计算机科学 2009-06-18 Chi Zhang , Gang Wang , Xiaoguang Liu , Jing Liu

We explore the machine-minimizing job scheduling problem, which has a rich history in the line of research, under an online setting. We consider systems with arbitrary job arrival times, arbitrary job deadlines, and unit job execution time.…

数据结构与算法 · 计算机科学 2013-09-24 Mong-Jen Kao , Jian-Jia Chen , Ignaz Rutter , Dorothea Wagner

We study the problem of truthfully scheduling $m$ tasks to $n$ selfish unrelated machines, under the objective of makespan minimization, as was introduced in the seminal work of Nisan and Ronen [STOC'99]. Closing the current gap of…

计算机科学与博弈论 · 计算机科学 2020-07-08 Yiannis Giannakopoulos , Alexander Hammerl , Diogo Poças

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

最优化与控制 · 数学 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

数据结构与算法 · 计算机科学 2012-10-18 Guillaume Aupy , Anne Benoit

We study the makespan minimization problem with unrelated selfish machines under the assumption that job sizes are stochastic. We design simple truthful mechanisms that under various distributional assumptions provide constant and…

计算机科学与博弈论 · 计算机科学 2013-05-06 Shuchi Chawla , Jason D. Hartline , David Malec , Balasubramanian Sivan

In this work we give a tight lower bound on makespan approximations for envy-free allocation mechanism dedicated to scheduling tasks on unrelated machines. Specifically, we show that no mechanism exists that can guarantee an envy-free…

离散数学 · 计算机科学 2012-05-09 Amos Fiat , Ariel Levavi

The NP-hard MATERIAL CONSUMPTION SCHEDULING Problem and closely related problems have been thoroughly studied since the 1980's. Roughly speaking, the problem deals with minimizing the makespan when scheduling jobs that consume non-renewable…

计算机科学与博弈论 · 计算机科学 2021-03-15 Matthias Bentert , Robert Bredereck , Péter Györgyi , Andrzej Kaczmarczyk , Rolf Niedermeier

Scheduling with testing falls under the umbrella of the research on optimization with explorable uncertainty. In this model, each job has an upper limit on its processing time that can be decreased to a lower limit (possibly unknown) by…

数据结构与算法 · 计算机科学 2023-06-28 Christoph Damerius , Peter Kling , Minming Li , Chenyang Xu , Ruilong Zhang

The discrete parallel machine makespan scheduling location (ScheLoc) problem is an integrated combinatorial optimization problem that combines facility location and job scheduling. The problem consists in choosing the locations of $p$…

人工智能 · 计算机科学 2025-04-08 Raphael Kramer , Arthur Kramer