An approximation algorithm for the license and shift class design problem
Identifieur interne : 000A56 ( Istex/Corpus ); précédent : 000A55; suivant : 000A57An approximation algorithm for the license and shift class design problem
Auteurs : Klaus JansenSource :
- European Journal of Operational Research [ 0377-2217 ] ; 1994.
Abstract
In this paper a generalization of the license and shift class design problem is considered. Let J be a set of jobs which have to be carried out in specified time intervals, let E be a set of different engineer licenses and Z be a set of shifts. Given a price P(e, z) ϵ ∈+ for engineers with license e ϵ E assigned to shift z ϵ Z, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|E|·|Z|·|J|2) and approximation bound O(log|J|) is proposed for this problem.
Url:
DOI: 10.1016/0377-2217(94)90150-3
Links to Exploration step
ISTEX:EBE7F352AA0F3F19566DC20EA93D526F5DE33F5CLe document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title>An approximation algorithm for the license and shift class design problem</title>
<author><name sortKey="Jansen, Klaus" sort="Jansen, Klaus" uniqKey="Jansen K" first="Klaus" last="Jansen">Klaus Jansen</name>
<affiliation><mods:affiliation>Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany</mods:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C</idno>
<date when="1994" year="1994">1994</date>
<idno type="doi">10.1016/0377-2217(94)90150-3</idno>
<idno type="url">https://api.istex.fr/document/EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000A56</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000A56</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a">An approximation algorithm for the license and shift class design problem</title>
<author><name sortKey="Jansen, Klaus" sort="Jansen, Klaus" uniqKey="Jansen K" first="Klaus" last="Jansen">Klaus Jansen</name>
<affiliation><mods:affiliation>Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany</mods:affiliation>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">European Journal of Operational Research</title>
<title level="j" type="abbrev">EOR</title>
<idno type="ISSN">0377-2217</idno>
<imprint><publisher>ELSEVIER</publisher>
<date type="published" when="1994">1994</date>
<biblScope unit="volume">73</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="127">127</biblScope>
<biblScope unit="page" to="131">131</biblScope>
</imprint>
<idno type="ISSN">0377-2217</idno>
</series>
<idno type="istex">EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C</idno>
<idno type="DOI">10.1016/0377-2217(94)90150-3</idno>
<idno type="PII">0377-2217(94)90150-3</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0377-2217</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">In this paper a generalization of the license and shift class design problem is considered. Let J be a set of jobs which have to be carried out in specified time intervals, let E be a set of different engineer licenses and Z be a set of shifts. Given a price P(e, z) ϵ ∈+ for engineers with license e ϵ E assigned to shift z ϵ Z, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|E|·|Z|·|J|2) and approximation bound O(log|J|) is proposed for this problem.</div>
</front>
</TEI>
<istex><corpusName>elsevier</corpusName>
<author><json:item><name>Klaus Jansen</name>
<affiliations><json:string>Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany</json:string>
</affiliations>
</json:item>
</author>
<subject><json:item><lang><json:string>eng</json:string>
</lang>
<value>Design planning</value>
</json:item>
<json:item><lang><json:string>eng</json:string>
</lang>
<value>Scheduling</value>
</json:item>
<json:item><lang><json:string>eng</json:string>
</lang>
<value>Graphs</value>
</json:item>
<json:item><lang><json:string>eng</json:string>
</lang>
<value>Heuristics</value>
</json:item>
</subject>
<language><json:string>eng</json:string>
</language>
<originalGenre><json:string>Full-length article</json:string>
</originalGenre>
<abstract>In this paper a generalization of the license and shift class design problem is considered. Let J be a set of jobs which have to be carried out in specified time intervals, let E be a set of different engineer licenses and Z be a set of shifts. Given a price P(e, z) ϵ ∈+ for engineers with license e ϵ E assigned to shift z ϵ Z, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|E|·|Z|·|J|2) and approximation bound O(log|J|) is proposed for this problem.</abstract>
<qualityIndicators><score>4.275</score>
<pdfVersion>1.2</pdfVersion>
<pdfPageSize>548 x 756 pts</pdfPageSize>
<refBibsNative>true</refBibsNative>
<keywordCount>4</keywordCount>
<abstractCharCount>542</abstractCharCount>
<pdfWordCount>3075</pdfWordCount>
<pdfCharCount>14245</pdfCharCount>
<pdfPageCount>5</pdfPageCount>
<abstractWordCount>100</abstractWordCount>
</qualityIndicators>
<title>An approximation algorithm for the license and shift class design problem</title>
<pii><json:string>0377-2217(94)90150-3</json:string>
</pii>
<refBibs><json:item><author><json:item><name>V. Chvatal</name>
</json:item>
</author>
<host><volume>4</volume>
<pages><last>235</last>
<first>233</first>
</pages>
<author></author>
<title>Mathematics of Operations Research</title>
</host>
<title>A greedy heuristic for the set covering problem</title>
</json:item>
<json:item><author><json:item><name>G.L. Dantzig</name>
</json:item>
<json:item><name>D.R. Fulkerson</name>
</json:item>
</author>
<host><volume>1</volume>
<pages><last>222</last>
<first>217</first>
</pages>
<author></author>
<title>Naval Research Logistics Quarterly</title>
</host>
<title>Minimizing the number of tankers to meet a fixed schedule</title>
</json:item>
<json:item><author><json:item><name>V.R. Doneti</name>
</json:item>
<json:item><name>H. Emmons</name>
</json:item>
</author>
<host><volume>40</volume>
<pages><last>85</last>
<first>76</first>
</pages>
<issue>Suppl. 1</issue>
<author></author>
<title>Operations Research</title>
</host>
<title>Interval scheduling with processors of two types</title>
</json:item>
<json:item><author><json:item><name>I. Gertsbakh</name>
</json:item>
<json:item><name>H.I. Stern</name>
</json:item>
</author>
<host><volume>26</volume>
<pages><last>85</last>
<first>68</first>
</pages>
<author></author>
<title>Operations Research</title>
</host>
<title>Minimal resources for fixed and variable job schedules</title>
</json:item>
<json:item><author><json:item><name>U.I. Gupta</name>
</json:item>
<json:item><name>D.T. Lee</name>
</json:item>
<json:item><name>J.Y.-T. Leung</name>
</json:item>
</author>
<host><volume>28</volume>
<pages><last>810</last>
<first>807</first>
</pages>
<author></author>
<title>IEEE Transactions on Computers</title>
</host>
<title>An optimal solution to the channel assignment problem</title>
</json:item>
<json:item><author><json:item><name>U.I. Gupta</name>
</json:item>
<json:item><name>D.T. Lee</name>
</json:item>
<json:item><name>J.Y.-T. Leung</name>
</json:item>
</author>
<host><volume>12</volume>
<pages><last>467</last>
<first>459</first>
</pages>
<author></author>
<title>Networks</title>
</host>
<title>Efficient algorithms for interval graphs and circular arc graphs</title>
</json:item>
<json:item><author><json:item><name>K. Jansen</name>
</json:item>
</author>
<host><volume>104</volume>
<pages><last>298</last>
<first>285</first>
</pages>
<author></author>
<title>Theoretical Computer Science</title>
</host>
<title>Processor-optimization for flow graphs</title>
</json:item>
<json:item><author><json:item><name>R.M. Karp</name>
</json:item>
</author>
<host><pages><last>104</last>
<first>85</first>
</pages>
<author></author>
<title>Complexity of Computer Computations</title>
</host>
<title>Reducibility among combinatorial problems</title>
</json:item>
<json:item><host><author></author>
</host>
</json:item>
<json:item><author><json:item><name>A.W.J. Kolen</name>
</json:item>
<json:item><name>L.G. Kroon</name>
</json:item>
</author>
<host><volume>54</volume>
<pages><last>38</last>
<first>23</first>
</pages>
<author></author>
<title>European Journal of Operational Research</title>
</host>
<title>On the computational complexity of (maximum) class scheduling</title>
</json:item>
<json:item><author><json:item><name>L.G. Kroon</name>
</json:item>
</author>
<host><author></author>
<title>Thesis</title>
</host>
<serie><author></author>
<title>Thesis</title>
</serie>
<title>Job scheduling and capacity planning in aircraft maintance</title>
</json:item>
</refBibs>
<genre><json:string>research-article</json:string>
</genre>
<serie><language><json:string>unknown</json:string>
</language>
<title>Thesis</title>
</serie>
<host><volume>73</volume>
<pii><json:string>S0377-2217(00)X0391-8</json:string>
</pii>
<pages><last>131</last>
<first>127</first>
</pages>
<issn><json:string>0377-2217</json:string>
</issn>
<issue>1</issue>
<genre><json:string>journal</json:string>
</genre>
<language><json:string>unknown</json:string>
</language>
<title>European Journal of Operational Research</title>
<publicationDate>1994</publicationDate>
</host>
<categories><wos><json:string>science</json:string>
<json:string>operations research & management science</json:string>
</wos>
<scienceMetrix><json:string>applied sciences</json:string>
<json:string>engineering</json:string>
<json:string>operations research</json:string>
</scienceMetrix>
</categories>
<publicationDate>1994</publicationDate>
<copyrightDate>1994</copyrightDate>
<doi><json:string>10.1016/0377-2217(94)90150-3</json:string>
</doi>
<id>EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C</id>
<score>0.7950529</score>
<fulltext><json:item><extension>pdf</extension>
<original>true</original>
<mimetype>application/pdf</mimetype>
<uri>https://api.istex.fr/document/EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C/fulltext/pdf</uri>
</json:item>
<json:item><extension>zip</extension>
<original>false</original>
<mimetype>application/zip</mimetype>
<uri>https://api.istex.fr/document/EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C/fulltext/zip</uri>
</json:item>
<istex:fulltextTEI uri="https://api.istex.fr/document/EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a">An approximation algorithm for the license and shift class design problem</title>
</titleStmt>
<publicationStmt><authority>ISTEX</authority>
<publisher>ELSEVIER</publisher>
<availability><p>ELSEVIER</p>
</availability>
<date>1994</date>
</publicationStmt>
<notesStmt><note type="content">Section title: Theory and methodology</note>
</notesStmt>
<sourceDesc><biblStruct type="inbook"><analytic><title level="a">An approximation algorithm for the license and shift class design problem</title>
<author xml:id="author-1"><persName><forename type="first">Klaus</forename>
<surname>Jansen</surname>
</persName>
<note type="correspondence"><p>Correspondence to: Dr. K. Jansen, Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany.</p>
</note>
<affiliation>Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany</affiliation>
</author>
</analytic>
<monogr><title level="j">European Journal of Operational Research</title>
<title level="j" type="abbrev">EOR</title>
<idno type="pISSN">0377-2217</idno>
<idno type="PII">S0377-2217(00)X0391-8</idno>
<imprint><publisher>ELSEVIER</publisher>
<date type="published" when="1994"></date>
<biblScope unit="volume">73</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="127">127</biblScope>
<biblScope unit="page" to="131">131</biblScope>
</imprint>
</monogr>
<idno type="istex">EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C</idno>
<idno type="DOI">10.1016/0377-2217(94)90150-3</idno>
<idno type="PII">0377-2217(94)90150-3</idno>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><creation><date>1994</date>
</creation>
<langUsage><language ident="en">en</language>
</langUsage>
<abstract xml:lang="en"><p>In this paper a generalization of the license and shift class design problem is considered. Let J be a set of jobs which have to be carried out in specified time intervals, let E be a set of different engineer licenses and Z be a set of shifts. Given a price P(e, z) ϵ ∈+ for engineers with license e ϵ E assigned to shift z ϵ Z, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|E|·|Z|·|J|2) and approximation bound O(log|J|) is proposed for this problem.</p>
</abstract>
<textClass><keywords scheme="keyword"><list><head>Keywords</head>
<item><term>Design planning</term>
</item>
<item><term>Scheduling</term>
</item>
<item><term>Graphs</term>
</item>
<item><term>Heuristics</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc><change when="1994">Published</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
<json:item><extension>txt</extension>
<original>false</original>
<mimetype>text/plain</mimetype>
<uri>https://api.istex.fr/document/EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C/fulltext/txt</uri>
</json:item>
</fulltext>
<metadata><istex:metadataXml wicri:clean="Elsevier, elements deleted: tail"><istex:xmlDeclaration>version="1.0" encoding="utf-8"</istex:xmlDeclaration>
<istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"></istex:docType>
<istex:document><converted-article version="4.5.2" docsubtype="fla"><item-info><jid>EOR</jid>
<aid>94901503</aid>
<ce:pii>0377-2217(94)90150-3</ce:pii>
<ce:doi>10.1016/0377-2217(94)90150-3</ce:doi>
<ce:copyright type="unknown" year="1994"></ce:copyright>
</item-info>
<head><ce:dochead><ce:textfn>Theory and methodology</ce:textfn>
</ce:dochead>
<ce:title>An approximation algorithm for the license and shift class design problem</ce:title>
<ce:author-group><ce:author><ce:given-name>Klaus</ce:given-name>
<ce:surname>Jansen</ce:surname>
<ce:cross-ref refid="COR1"><ce:sup>∗</ce:sup>
</ce:cross-ref>
</ce:author>
<ce:affiliation><ce:textfn>Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany</ce:textfn>
</ce:affiliation>
<ce:correspondence id="COR1"><ce:label>∗</ce:label>
<ce:text>Correspondence to: Dr. K. Jansen, Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany.</ce:text>
</ce:correspondence>
</ce:author-group>
<ce:abstract><ce:section-title>Abstract</ce:section-title>
<ce:abstract-sec><ce:simple-para>In this paper a generalization of the license and shift class design problem is considered. Let <ce:italic>J</ce:italic>
be a set of jobs which have to be carried out in specified time intervals, let <ce:italic>E</ce:italic>
be a set of different engineer licenses and <ce:italic>Z</ce:italic>
be a set of shifts. Given a price <ce:italic>P</ce:italic>
(<ce:italic>e</ce:italic>
, <ce:italic>z</ce:italic>
) <ce:italic>ϵ</ce:italic>
∈<ce:sup>+</ce:sup>
for engineers with license <ce:italic>e</ce:italic>
<ce:italic>ϵ</ce:italic>
<ce:italic>E</ce:italic>
assigned to shift <ce:italic>z</ce:italic>
<ce:italic>ϵ</ce:italic>
<ce:italic>Z</ce:italic>
, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|<ce:italic>E</ce:italic>
|·|<ce:italic>Z</ce:italic>
|·|<ce:italic>J</ce:italic>
|<ce:sup>2</ce:sup>
) and approximation bound O(log|<ce:italic>J</ce:italic>
|) is proposed for this problem.</ce:simple-para>
</ce:abstract-sec>
</ce:abstract>
<ce:keywords><ce:section-title>Keywords</ce:section-title>
<ce:keyword><ce:text>Design planning</ce:text>
</ce:keyword>
<ce:keyword><ce:text>Scheduling</ce:text>
</ce:keyword>
<ce:keyword><ce:text>Graphs</ce:text>
</ce:keyword>
<ce:keyword><ce:text>Heuristics</ce:text>
</ce:keyword>
</ce:keywords>
</head>
</converted-article>
</istex:document>
</istex:metadataXml>
<mods version="3.6"><titleInfo><title>An approximation algorithm for the license and shift class design problem</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA"><title>An approximation algorithm for the license and shift class design problem</title>
</titleInfo>
<name type="personal"><namePart type="given">Klaus</namePart>
<namePart type="family">Jansen</namePart>
<affiliation>Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany</affiliation>
<description>Correspondence to: Dr. K. Jansen, Fachbereich IV, Mathematik und Informatik, Universität Trier, Postfach 3825, 54286 Trier, Germany.</description>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre type="research-article" displayLabel="Full-length article"></genre>
<originInfo><publisher>ELSEVIER</publisher>
<dateIssued encoding="w3cdtf">1994</dateIssued>
<copyrightDate encoding="w3cdtf">1994</copyrightDate>
</originInfo>
<language><languageTerm type="code" authority="iso639-2b">eng</languageTerm>
<languageTerm type="code" authority="rfc3066">en</languageTerm>
</language>
<physicalDescription><internetMediaType>text/html</internetMediaType>
</physicalDescription>
<abstract lang="en">In this paper a generalization of the license and shift class design problem is considered. Let J be a set of jobs which have to be carried out in specified time intervals, let E be a set of different engineer licenses and Z be a set of shifts. Given a price P(e, z) ϵ ∈+ for engineers with license e ϵ E assigned to shift z ϵ Z, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|E|·|Z|·|J|2) and approximation bound O(log|J|) is proposed for this problem.</abstract>
<note type="content">Section title: Theory and methodology</note>
<subject><genre>Keywords</genre>
<topic>Design planning</topic>
<topic>Scheduling</topic>
<topic>Graphs</topic>
<topic>Heuristics</topic>
</subject>
<relatedItem type="host"><titleInfo><title>European Journal of Operational Research</title>
</titleInfo>
<titleInfo type="abbreviated"><title>EOR</title>
</titleInfo>
<genre type="journal">journal</genre>
<originInfo><dateIssued encoding="w3cdtf">19940224</dateIssued>
</originInfo>
<identifier type="ISSN">0377-2217</identifier>
<identifier type="PII">S0377-2217(00)X0391-8</identifier>
<part><date>19940224</date>
<detail type="volume"><number>73</number>
<caption>vol.</caption>
</detail>
<detail type="issue"><number>1</number>
<caption>no.</caption>
</detail>
<extent unit="issue pages"><start>1</start>
<end>204</end>
</extent>
<extent unit="pages"><start>127</start>
<end>131</end>
</extent>
</part>
</relatedItem>
<identifier type="istex">EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C</identifier>
<identifier type="DOI">10.1016/0377-2217(94)90150-3</identifier>
<identifier type="PII">0377-2217(94)90150-3</identifier>
<recordInfo><recordContentSource>ELSEVIER</recordContentSource>
</recordInfo>
</mods>
</metadata>
</istex>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000A56 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 000A56 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Rhénanie |area= UnivTrevesV1 |flux= Istex |étape= Corpus |type= RBID |clé= ISTEX:EBE7F352AA0F3F19566DC20EA93D526F5DE33F5C |texte= An approximation algorithm for the license and shift class design problem }}
![]() | This area was generated with Dilib version V0.6.31. | ![]() |