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A moldable job is a job that can be executed on an arbitrary number of processors, and whose processing time depends on the number of processors allotted to it. A moldable job is monotone if its work doesn't decrease for an increasing…

数据结构与算法 · 计算机科学 2018-01-09 Klaus Jansen , Felix Land

We consider the task of allocating indivisible items to agents, when the agents' preferences over the items are identical. The preferences are captured by means of a directed acyclic graph, with vertices representing items and an edge…

The efficient and fair distribution of indivisible resources among agents is a common problem in the field of \emph{Multi-Agent-Systems}. We consider a graph-based version of this problem called Reachable Assignments, introduced by Gourves,…

多智能体系统 · 计算机科学 2020-05-06 Luis Müller , Matthias Bentert

In the restricted assignment problem, the input consists of a set of machines and a set of jobs each with a processing time and a subset of eligible machines. The goal is to find an assignment of the jobs to the machines minimizing the…

计算复杂性 · 计算机科学 2019-07-09 Marten Maack , Klaus Jansen

We study scheduling problems on a machine with varying speed. Assuming a known speed function we ask for a cost-efficient scheduling solution. Our main result is a PTAS for minimizing the total weighted completion time in this setting. This…

数据结构与算法 · 计算机科学 2014-03-06 Nicole Megow , José Verschae

Dual-arm robots offer enhanced versatility and efficiency over single-arm counterparts by enabling concurrent manipulation of multiple objects or cooperative execution of tasks using both arms. However, the coordination of dual-arm systems…

机器人学 · 计算机科学 2025-04-14 Zeyu Gao , Yao Mu , Jinye Qu , Mengkang Hu , Shijia Peng , Chengkai Hou , Lingyue Guo , Ping Luo , Shanghang Zhang , Yanfeng Lu

Modern machine learning workloads use large models, with complex structures, that are very expensive to execute. The devices that execute complex models are becoming increasingly heterogeneous as we see a flourishing of domain-specific…

机器学习 · 计算机科学 2020-11-02 Jakub Tarnawski , Amar Phanishayee , Nikhil R. Devanur , Divya Mahajan , Fanny Nina Paravecino

Path cover is a well-known intractable problem that finds a minimum number of vertex disjoint paths in a given graph to cover all the vertices. We show that a variant, where the objective function is not the number of paths but the number…

数据结构与算法 · 计算机科学 2018-03-09 Yinhui Cai , Guangting Chen , Yong Chen , Randy Goebel , Guohui Lin , Longcheng Liu , An Zhang

Graphs are widely used to model execution dependencies in applications. In particular, the NP-complete problem of partitioning a graph under constraints receives enormous attention by researchers because of its applicability in…

数据结构与算法 · 计算机科学 2017-04-04 Orlando Moreira , Merten Popp , Christian Schulz

We consider the problem of minimizing the makespan on batch processing identical machines, subject to compatibility constraints, where two jobs are compatible if they can be processed simultaneously in a same batch. These constraints are…

离散数学 · 计算机科学 2023-09-07 Khaoula Bouakaz , Mourad Boudhar

Temporal graphs have been recently introduced to model changes to a given network that occur throughout a fixed period of time. The Temporal $\Delta$ Clique problem, that generalizes the well known Clique problem to temporal graphs, has…

数据结构与算法 · 计算机科学 2022-10-14 Danny Hermelin , Yuval Itzhaki , Hendrik Molter , Rolf Niedermeier

Consider a scheduling problem in which jobs need to be processed on a single machine. Each job has a weight and is composed of several operations belonging to different families. The machine needs to perform a setup between the processing…

数据结构与算法 · 计算机科学 2019-10-22 Alexander Mäcker , Friedhelm Meyer auf der Heide , Simon Pukrop

We study the problem of scheduling jobs on fault-prone machines communicating via a shared channel, also known as multiple-access channel. We have $n$ arbitrary length jobs to be scheduled on $m$ identical machines, $f$ of which are prone…

分布式、并行与集群计算 · 计算机科学 2018-07-26 Marek Klonowski , Dariusz R. Kowalski , Jarosław Mirek , Prudence W. H. Wong

In Polyamorous Scheduling, we are given an edge-weighted graph and must find a periodic schedule of matchings in this graph which minimizes the maximal weighted waiting time between consecutive occurrences of the same edge. This NP-hard…

数据结构与算法 · 计算机科学 2024-11-12 Yuriy Biktairov , Leszek Gąsieniec , Wanchote Po Jiamjitrak , Namrata , Benjamin Smith , Sebastian Wild

Modern embedded systems have made the transition from single-core to multi-core architectures, providing performance improvement via parallelism rather than higher clock frequencies. DAGs are considered among the most generic task models in…

分布式、并行与集群计算 · 计算机科学 2014-06-05 José Marinho , Stefan M. Petters

In this paper, we consider an NP-hard problem of scheduling a set of jobs of equal processing time on two machines, given a partial precedence order on the set of jobs, with an objective to minimize the makespan. An approximation algorithm…

最优化与控制 · 数学 2014-12-17 Anna Romanova

While sequential task assignment for a single agent has been widely studied, such problems in a multi-agent setting, where the agents have heterogeneous task preferences or capabilities, remain less well-characterized. We study a…

多智能体系统 · 计算机科学 2025-10-21 Qinshuang Wei , Vaibhav Srivastava , Vijay Gupta

We introduce a natural but seemingly yet unstudied generalization of the problem of scheduling jobs on a single machine so as to minimize the number of tardy jobs. Our generalization lies in simultaneously considering several instances of…

离散数学 · 计算机科学 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

The problem of allocating tasks to workers is of long standing fundamental importance. Examples of this include the classical problem of assigning computing tasks to nodes in a distributed computing environment, as well as the more recent…

计算机科学与博弈论 · 计算机科学 2017-09-04 Chen Hajaj , Yevgeniy Vorobeychik

Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the…

数据结构与算法 · 计算机科学 2024-03-28 Leszek Gąsieniec , Benjamin Smith , Sebastian Wild