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Autori principali: Bergé, Pierre, Chaikovskaia, Mari, Gayon, Jean-Philippe, Quilliot, Alain
Natura: Preprint
Pubblicazione: 2023
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Accesso online:https://arxiv.org/abs/2401.00419
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author Bergé, Pierre
Chaikovskaia, Mari
Gayon, Jean-Philippe
Quilliot, Alain
author_facet Bergé, Pierre
Chaikovskaia, Mari
Gayon, Jean-Philippe
Quilliot, Alain
contents We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance demands. The time horizon is divided into several discrete identical periods representing each the time needed to proceed a job. The objective is to find a parametrization and a schedule for the jobs in such a way they require as less resources as possible. Though this problem derived from the applicative context of reconfigurable robots, we focus here on fundamental issues. We show that the resulting strongly NP-hard Multibot problem may be handled in a greedy way with an approximation ratio of $\frac{4}{3}$.
format Preprint
id arxiv_https___arxiv_org_abs_2401_00419
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Approximation algorithms for Job Scheduling with reconfigurable resources
Bergé, Pierre
Chaikovskaia, Mari
Gayon, Jean-Philippe
Quilliot, Alain
Data Structures and Algorithms
F.2.2
We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance demands. The time horizon is divided into several discrete identical periods representing each the time needed to proceed a job. The objective is to find a parametrization and a schedule for the jobs in such a way they require as less resources as possible. Though this problem derived from the applicative context of reconfigurable robots, we focus here on fundamental issues. We show that the resulting strongly NP-hard Multibot problem may be handled in a greedy way with an approximation ratio of $\frac{4}{3}$.
title Approximation algorithms for Job Scheduling with reconfigurable resources
topic Data Structures and Algorithms
F.2.2
url https://arxiv.org/abs/2401.00419