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The problem of scheduling jobs on parallel machines (identical, uniform, or unrelated), under incompatibility relation modeled as a block graph, under the makespan optimality criterion, is considered in this paper. No two jobs that are in…

离散数学 · 计算机科学 2024-03-05 Hanna Furmańczyk , Tytus Pikies , Inka Sokołowska , Krzysztof Turowski

Consider the classical Min-Sum Set Cover problem: We are given a universe $\mathcal{U}$ of $n$ elements and a collection $\mathcal{S}$ of $k$ subsets of $\mathcal{U}$. Moreover, a cost function is associated with each set. The goal is to…

数据结构与算法 · 计算机科学 2026-05-29 Michał Szyfelbein

In this paper, we focus on the solution of a hard single machine scheduling problem by new heuristic algorithms embedding techniques from machine learning field and scheduling theory. These heuristics transform an instance of the hard…

最优化与控制 · 数学 2021-01-05 Axel Parmentier , Vincent T'Kindt

This paper mainly focuses on a resource leveling variant of a two-processor scheduling problem. The latter problem is to schedule a set of dependent UET jobs on two identical processors with minimum makespan. It is known to be…

计算复杂性 · 计算机科学 2024-06-13 Pascale Bendotti , Luca Brunod Indrigo , Philippe Chrétienne , Bruno Escoffier

\textit{Weighted shortest processing time first} (WSPT) is one of the best known algorithms for total weighted completion time scheduling problems. For each job $J_j$, it first combines the two independent job parameters weight $w_j$ and…

数据结构与算法 · 计算机科学 2023-07-18 Samin Jamalabadi , Uwe Schwiegelshohn

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…

We study the problem of executing an application represented by a precedence task graph on a parallel machine composed of standard computing cores and accelerators. Contrary to most existing approaches, we distinguish the allocation and the…

分布式、并行与集群计算 · 计算机科学 2017-11-20 Marcos Amaris , Giorgio Lucarelli , Clément Mommessin , Denis Trystram

The main goal of parallel processing is to provide users with performance that is much better than that of single processor systems. The execution of jobs is scheduled, which requires certain resources in order to meet certain criteria.…

分布式、并行与集群计算 · 计算机科学 2019-02-07 Yang Cao , Fei Wu , Thomas Robertazzi

Job Shop Scheduling (JSS) is one of the most studied combinatorial optimization problems. It involves scheduling a set of jobs with predefined processing constraints on a set of machines to achieve a desired objective, such as minimizing…

分布式、并行与集群计算 · 计算机科学 2025-05-08 Karima Rihane , Adel Dabah , Abdelhakim AitZai

We address single machine problems with optional jobs - rejection, studied recently in Zhang et al. [21] and Cao et al. [2]. In these papers, the authors focus on minimizing regular performance measures, i.e., functions that are…

离散数学 · 计算机科学 2018-02-02 Baruch Mor , Dana Shapira

Advance reservation is important to guarantee the quality of services of jobs by allowing exclusive access to resources over a defined time interval on resources. It is a challenge for the scheduler to organize available resources…

分布式、并行与集群计算 · 计算机科学 2012-03-06 Bo Li , Yijian Pei , Bin Shen , Hao Wu , Min He , Jundong Yang

In malleable job scheduling, jobs can be executed simultaneously on multiple machines with the processing time depending on the number of allocated machines. In this setting, jobs are required to be executed non-preemptively and in unison,…

数据结构与算法 · 计算机科学 2020-04-08 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

This paper addresses the challenging scheduling problem of coflows with release times, with the objective of minimizing the total weighted completion time. Previous literature has predominantly concentrated on establishing the scheduling…

数据结构与算法 · 计算机科学 2023-12-27 Chi-Yeh Chen

We study policies aiming to minimize the weighted sum of completion times of jobs in the context of coordination mechanisms for selfish scheduling problems. Our goal is to design local policies that achieve a good price of anarchy in the…

计算机科学与博弈论 · 计算机科学 2010-12-23 Richard Cole , José R. Correa , Vasilis Gkatzelis , Vahab Mirrokni , Neil Olver

Modern computing workloads are often composed of parallelizable jobs. A parallelizable job can be completed more quickly when run on additional servers. However, each job can only use a limited number of servers, known as its…

性能 · 计算机科学 2025-12-30 Benjamin Berg , Benjamin Moseley , Weina Wang , Mor Harchol-Balter

When parallelizing a set of jobs across many servers, one must balance a trade-off between granting priority to short jobs and maintaining the overall efficiency of the system. When the goal is to minimize the mean flow time of a set of…

性能 · 计算机科学 2020-11-24 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

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…

数据结构与算法 · 计算机科学 2017-10-31 G. Calinescu , F. Jaehn , M. Li , K. Wang

In the paper we consider the problem of scheduling $n$ identical jobs on 4 uniform machines with speeds $s_1 \geq s_2 \geq s_3 \geq s_4,$ respectively. Our aim is to find a schedule with a minimum possible length. We assume that jobs are…

数据结构与算法 · 计算机科学 2016-02-08 H. Furmanczyk , M. Kubale

We study a difficult problem of how to schedule complex workflows with precedence constraints under a limited budget in the cloud environment. We first formulate the scheduling problem as an integer programming problem, which can be…

分布式、并行与集群计算 · 计算机科学 2019-03-05 Hang Zhang , Xiaoying Zheng , Ye Xia , Mingqi Li

Scheduling jobs with precedence constraints on a set of identical machines to minimize the total processing time (makespan) is a fundamental problem in combinatorial optimization. In practical settings such as cloud computing, jobs are…

数据结构与算法 · 计算机科学 2014-04-29 Konstantin Makarychev , Debmalya Panigrahi
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