On the complexity of scheduling incompatible jobs with unit-times
Identifieur interne : 001067 ( Istex/Corpus ); précédent : 001066; suivant : 001068On the complexity of scheduling incompatible jobs with unit-times
Auteurs : Hans L. Bodlaender ; Klaus JansenSource :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 1993.
Abstract
Abstract: We consider scheduling problems in a multiprocessor system with incompatibile jobs of unit-time length where two incompatible jobs can not be processed on the same machine. Given a deadline κ′ and a number of κ machines, the problem is to find a feasible assignment of the jobs to the machines. We prove the computational complexity of this scheduling problem restricted to different graph classes, arbitary and constant numbers κ and κ′.
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DOI: 10.1007/3-540-57182-5_21
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<affiliation>Department of Computer Science, Utrecht University, P.O.Box 80.089, 3508, TB Utrecht, The Netherlands</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">Klaus</namePart>
<namePart type="family">Jansen</namePart>
<affiliation>Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, W-5500, Trier, Germany</affiliation>
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<originInfo><publisher>Springer Berlin Heidelberg</publisher>
<place><placeTerm type="text">Berlin, Heidelberg</placeTerm>
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<dateIssued encoding="w3cdtf">2005-05-30</dateIssued>
<copyrightDate encoding="w3cdtf">1993</copyrightDate>
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<abstract lang="en">Abstract: We consider scheduling problems in a multiprocessor system with incompatibile jobs of unit-time length where two incompatible jobs can not be processed on the same machine. Given a deadline κ′ and a number of κ machines, the problem is to find a feasible assignment of the jobs to the machines. We prove the computational complexity of this scheduling problem restricted to different graph classes, arbitary and constant numbers κ and κ′.</abstract>
<relatedItem type="host"><titleInfo><title>Mathematical Foundations of Computer Science 1993</title>
<subTitle>18th International Symposium, MFCS'93 Gdańsk, Poland, August 30–September 3, 1993 Proceedings</subTitle>
</titleInfo>
<name type="personal"><namePart type="given">Andrzej</namePart>
<namePart type="given">M.</namePart>
<namePart type="family">Borzyszkowski</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">Stefan</namePart>
<namePart type="family">Sokołowski</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<genre type="book-series" displayLabel="Proceedings"></genre>
<originInfo><copyrightDate encoding="w3cdtf">1993</copyrightDate>
<issuance>monographic</issuance>
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<subject><genre>Book-Subject-Collection</genre>
<topic authority="SpringerSubjectCodes" authorityURI="SUCO11645">Computer Science</topic>
</subject>
<subject><genre>Book-Subject-Group</genre>
<topic authority="SpringerSubjectCodes" authorityURI="I">Computer Science</topic>
<topic authority="SpringerSubjectCodes" authorityURI="I16013">Computation by Abstract Devices</topic>
<topic authority="SpringerSubjectCodes" authorityURI="I16021">Algorithm Analysis and Problem Complexity</topic>
<topic authority="SpringerSubjectCodes" authorityURI="I1603X">Logics and Meanings of Programs</topic>
<topic authority="SpringerSubjectCodes" authorityURI="I16048">Mathematical Logic and Formal Languages</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M17009">Combinatorics</topic>
<topic authority="SpringerSubjectCodes" authorityURI="I15017">Data Structures</topic>
</subject>
<identifier type="DOI">10.1007/3-540-57182-5</identifier>
<identifier type="ISBN">978-3-540-57182-7</identifier>
<identifier type="eISBN">978-3-540-47927-7</identifier>
<identifier type="ISSN">0302-9743</identifier>
<identifier type="eISSN">1611-3349</identifier>
<identifier type="BookTitleID">33794</identifier>
<identifier type="BookID">3540571825</identifier>
<identifier type="BookChapterCount">68</identifier>
<identifier type="BookVolumeNumber">711</identifier>
<part><date>1993</date>
<detail type="volume"><number>711</number>
<caption>vol.</caption>
</detail>
<extent unit="pages"><start>291</start>
<end>300</end>
</extent>
</part>
<recordInfo><recordOrigin>Springer-Verlag, 1993</recordOrigin>
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</relatedItem>
<relatedItem type="series"><titleInfo><title>Lecture Notes in Computer Science</title>
</titleInfo>
<name type="personal"><namePart type="given">G.</namePart>
<namePart type="family">Goos</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">J.</namePart>
<namePart type="family">Hartmanis</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<originInfo><copyrightDate encoding="w3cdtf">1993</copyrightDate>
<issuance>serial</issuance>
</originInfo>
<identifier type="ISSN">0302-9743</identifier>
<identifier type="eISSN">1611-3349</identifier>
<identifier type="SeriesID">558</identifier>
<recordInfo><recordOrigin>Springer-Verlag, 1993</recordOrigin>
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<identifier type="istex">89E872BB36C12FA78C9C5457FE3FE28909BF5CC8</identifier>
<identifier type="DOI">10.1007/3-540-57182-5_21</identifier>
<identifier type="ChapterID">21</identifier>
<identifier type="ChapterID">Chap21</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag, 1993</accessCondition>
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<recordOrigin>Springer-Verlag, 1993</recordOrigin>
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