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We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

数据结构与算法 · 计算机科学 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

We consider the online busy time scheduling problem motivated by energy and cost minimization in cloud computing systems. The input is a set of jobs $J=\{1,\dots,n\}$ where each job $j\in J$ has a release time $r_j$, deadline $d_j$, and…

数据结构与算法 · 计算机科学 2025-10-20 Susanne Albers , G. Wessel van der Heijden

When integrating hard, soft and non-real-time tasks in general purpose operating systems, it is necessary to provide temporal isolation so that the timing properties of one task do not depend on the behaviour of the others. However, strict…

操作系统 · 计算机科学 2016-03-11 Luca Abeni , Giuseppe Lipari , Andrea Parri , Youcheng Sun

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

We study the problem of non-preemptively scheduling $n$ jobs, each job $j$ with a release time $t_j$, a deadline $d_j$, and a processing time $p_j$, on $m$ parallel identical machines. Cieliebak et al. (2004) considered the two constraints…

数据结构与算法 · 计算机科学 2017-05-25 René van Bevern , Rolf Niedermeier , Ondřej Suchý

In this paper, we study an optimal online resource reservation problem in a simple communication network. The network is composed of two compute nodes linked by a local communication link. The system operates in discrete time; at each time…

最优化与控制 · 数学 2024-04-04 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Shima Kheradmand

We study a single-machine scheduling problem with sequence dependent setup times, motivated by applications in manufacturing and service industries - in particular, the calendering stage in rubber flooring production. In this phase, setup…

最优化与控制 · 数学 2025-08-13 Dominik Leib , Till Heller , Raphael Kühn

This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

理论经济学 · 经济学 2022-12-01 Ata Atay , Christian Trudeau

We propose three novel mathematical optimization formulations that solve the same two-type heterogeneous multiprocessor scheduling problem for a real-time taskset with hard constraints. Our formulations are based on a global scheduling…

分布式、并行与集群计算 · 计算机科学 2017-10-13 Mason Thammawichai , Eric C. Kerrigan

In classical scheduling problems, we are given jobs and machines, and have to schedule all the jobs to minimize some objective function. What if each job has a specified profit, and we are no longer required to process all jobs -- we can…

数据结构与算法 · 计算机科学 2015-05-13 Anupam Gupta , Ravishankar Krishnaswamy , Amit Kumar , Danny Segev

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

数据结构与算法 · 计算机科学 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

In this paper we study how to optimally balance cheap inflexible resources with more expensive, reconfigurable resources despite uncertainty in the input problem. Specifically, we introduce the MinEMax model to study "build versus rent"…

数据结构与算法 · 计算机科学 2019-07-23 D Ellis Hershkowitz , R. Ravi , Sahil Singla

The Resource-Constrained Project Scheduling Problem (RCPSP) is a classical scheduling problem that has received significant attention due to of its numerous applications in industry. However, in practice, task durations are subject to…

人工智能 · 计算机科学 2025-11-18 Guillaume Infantes , Stéphanie Roussel , Antoine Jacquet , Emmanuel Benazera

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

数据结构与算法 · 计算机科学 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

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

Staff scheduling is a universal problem that can be encountered in many organizations, such as call centers, educational institution, industry, hospital, and any other public services. It is one of the most important aspects of workforce…

人工智能 · 计算机科学 2019-02-05 O. M. Alade , A. O. Amusat

The problem of scheduling unrelated machines has been studied since the inception of algorithmic mechanism design \cite{NR99}. It is a resource allocation problem that entails assigning $m$ tasks to $n$ machines for execution. Machines are…

计算机科学与博弈论 · 计算机科学 2022-04-21 Yansong Gao , Jie Zhang

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

数据结构与算法 · 计算机科学 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

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

In this work, we consider a scheduling problem faced by production companies with large electricity consumption. Due to the contract with the electric utility, the production companies are obligated to comply with the total energy…

数据结构与算法 · 计算机科学 2018-02-14 István Módos , Přemysl Šůcha , Zdeněk Hanzálek