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Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagonist criteria should be optimized, such as throughput and latency (or a…

分布式、并行与集群计算 · 计算机科学 2007-06-28 Anne Benoit , Veronika Rehn-Sonigo , Yves Robert

This paper presents a scalable solution with adjustable computation time for the joint problem of scheduling and assigning machines and transporters for missions that must be completed in a fixed order of operations across multiple stages.…

机器人学 · 计算机科学 2023-07-13 Koresh Khateri , Giovanni Beltrame

We study the following general stabbing problem from a parameterized complexity point of view: Given a set $\mathcal S$ of $n$ translates of an object in $\Rd$, find a set of $k$ lines with the property that every object in $\mathcal S$ is…

计算几何 · 计算机科学 2015-02-18 Panos Giannopoulos , Christian Knauer , Gunter Rote , Daniel Werner

Flowshop problems play a prominent role in operations research, and have considerable practical significance. The single-machine flowshop problem is of particular theoretical interest. Until now the problem of minimizing late jobs or job…

分布式、并行与集群计算 · 计算机科学 2025-07-15 Matthew Gradwohl , Guidio Sewa , Oke Blessing Oghojafor , Richard Wilouwou , Muminu Adamu , Christopher Thron

In this paper we study the parameterized complexity of two well-known permutation group problems which are NP-complete. 1. Given a permutation group G=<S>, subgroup of $S_n$, and a parameter $k$, find a permutation $\pi$ in G such that…

计算复杂性 · 计算机科学 2013-01-18 Vikraman Arvind

The no-wait flowshop scheduling problem is a variant of the classical permutation flowshop problem, with the additional constraint that jobs have to be processed by the successive machines without waiting time. To efficiently address this…

人工智能 · 计算机科学 2019-03-22 Lucien Mousin , Marie-Eléonore Kessaci , Clarisse Dhaenens

We consider scheduling on identical and unrelated parallel machines with job assignment restrictions. These problems are NP-hard and they do not admit polynomial time approximation algorithms with approximation ratios smaller than $1.5$…

数据结构与算法 · 计算机科学 2017-01-26 Klaus Jansen , Marten Maack , Roberto Solis-Oba

A crucial challenge arising in the design of large-scale logistical networks is to optimize parcel sortation for routing. We study this problem under the recent graph-theoretic formalization of Van Dyk, Klause, Koenemann and Megow (IPCO…

数据结构与算法 · 计算机科学 2024-09-16 Robert Ganian , Hung P. Hoang , Simon Wietheger

In the paper "The complexity of mean flow time scheduling problems with release times", by Baptiste, Brucker, Chrobak, D\"urr, Kravchenko and Sourd, the authors claimed to prove strong NP-hardness of the scheduling problem $P|pmtn,r_j|\sum…

计算复杂性 · 计算机科学 2014-04-23 Odile Bellenguez-Morineau , Marek Chrobak , Christoph Dürr , Damien Prot

This paper addresses the problem of scheduling a set of jobs that are released over the time on a set of identical parallel machines, aiming at the minimization of the total weighted completion time. This problem, referred to as $P|r_j|\sum…

最优化与控制 · 数学 2020-06-30 Arthur Kramer , Mauro Dell'Amico , Dominique Feillet , Manuel Iori

The minimization of makespan in open shop with time lags has been shown NP-hard in the strong sense even for the case of two machines and unit-time operations. The minimization of total completion time however has remained open for that…

计算复杂性 · 计算机科学 2022-03-25 Wieslaw Kubiak

Temporal graphs are introduced to model systems where the relationships among the entities of the system evolve over time. In this paper, we consider the temporal graphs where the edge set changes with time and all the changes are known a…

数据结构与算法 · 计算机科学 2025-08-15 Rinku Kumar , Bodhisatwa Mazumdar , Subhrangsu Mandal

This work proposes a unified heuristic algorithm for a large class of earliness-tardiness (E-T) scheduling problems. We consider single/parallel machine E-T problems that may or may not consider some additional features such as idle time,…

人工智能 · 计算机科学 2017-01-11 Arthur Kramer , Anand Subramanian

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

A decision problem is called parameterized if its input is a pair of strings. One of these strings is referred to as a parameter. The problem: given a propositional logic program P and a non-negative integer k, decide whether P has a stable…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Zbigniew Lonc , Miroslaw Truszczynski

The usefulness of parameterized algorithmics has often depended on what Niedermeier has called, "the art of problem parameterization". In this paper we introduce and explore a novel but general form of parameterization: the number of…

数据结构与算法 · 计算机科学 2015-05-19 Michael R. Fellows , Serge Gaspers , Frances A. Rosamond

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

The maximum modularity of a graph is a parameter widely used to describe the level of clustering or community structure in a network. Determining the maximum modularity of a graph is known to be NP-complete in general, and in practice a…

数据结构与算法 · 计算机科学 2022-12-22 Kitty Meeks , Fiona Skerman

We study the fundamental problem of scheduling bidirectional traffic along a path composed of multiple segments. The main feature of the problem is that jobs traveling in the same direction can be scheduled in quick succession on a segment,…

数据结构与算法 · 计算机科学 2015-04-28 Yann Disser , Max Klimm , Elisabeth Lübbecke

In this paper, we consider the problem of scheduling jobs on parallel identical machines, where the processing times of jobs are uncertain: only interval bounds of processing times are known. The optimality criterion of a schedule is the…

数据结构与算法 · 计算机科学 2016-03-25 Maciej Drwal , Roman Rischke