An Information-Theoretic Entropy Metric for Assessing Multi-Objective Optimization Solution Set Quality

An Information-Theoretic Entropy Metric for Assessing Multi-Objective Optimization Solution Set Quality

An entropy-based metric is presented that can be used for assessing the quality of a solution set as obtained from multi-objective optimization techniques. This metric quantifies the “goodness” of a set of solutions in terms of distribution quality over the Pareto frontier. The metric can be used to...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mechanical design (1990) 2003-12, Vol.125 (4), p.655-663
Hauptverfasser: Farhang-Mehr, Ali, Azarm, Shapour
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Exact sciences and technology
Mechanical engineering. Machine design
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 663
container_issue 4
container_start_page 655
container_title Journal of mechanical design (1990)
container_volume 125
creator Farhang-Mehr, Ali
Azarm, Shapour
description An entropy-based metric is presented that can be used for assessing the quality of a solution set as obtained from multi-objective optimization techniques. This metric quantifies the “goodness” of a set of solutions in terms of distribution quality over the Pareto frontier. The metric can be used to compare the performance of different multi-objective optimization techniques. In particular, the metric can be used in analysis of multi-objective evolutionary algorithms, wherein the capabilities of such techniques to produce and maintain diversity among different solution points are desired to be compared on a quantitative basis. An engineering test example, the multi-objective design optimization of a speed-reducer, is provided to demonstrate an application of the proposed entropy metric.
doi_str_mv 10.1115/1.1623186
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_27887137</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>27887137</sourcerecordid><originalsourceid>FETCH-LOGICAL-a308t-34f3a7c21d85f1dbb2ca301fe21538892109ffd8772be745bd63f63e09e659373</originalsourceid><addsrcrecordid>eNpFkM1PwzAMxSsEEmNw4MylF5A4dMRJ06bHaRowiWlCjHOUds7I1DYjSZHGX0_3IXHys_3zk_yi6BbICAD4E4wgowxEdhYNgFORFITAea8JJwlJc3oZXXm_6YcgUj6I1uM2nrXaukYFY9tk-YXWYTBVPG2Ds9tdPMfg-rZH4rH36L1p1_G8q4NJFuUGq2B-MF5sg2nM78Ej_rB1dxQY4vdO1SbsrqMLrWqPN6c6jD6fp8vJa_K2eJlNxm-JYkSEhKWaqbyisBJcw6osadUvQCMFzoQoKJBC65XIc1pinvJylTGdMSQFZrxgORtGD0ffrbPfHfogG-MrrGvVou28pLkQORzAxyNYOeu9Qy23zjTK7SQQuY9SgjxF2bP3J1PlK1Vrp9rK-P8DngoO6d7z7sgp36Dc2M61_a8yzVhBGPsDsnV8iA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>27887137</pqid></control><display><type>article</type><title>An Information-Theoretic Entropy Metric for Assessing Multi-Objective Optimization Solution Set Quality</title><source>ASME Transactions Journals (Current)</source><creator>Farhang-Mehr, Ali ; Azarm, Shapour</creator><creatorcontrib>Farhang-Mehr, Ali ; Azarm, Shapour</creatorcontrib><description>An entropy-based metric is presented that can be used for assessing the quality of a solution set as obtained from multi-objective optimization techniques. This metric quantifies the “goodness” of a set of solutions in terms of distribution quality over the Pareto frontier. The metric can be used to compare the performance of different multi-objective optimization techniques. In particular, the metric can be used in analysis of multi-objective evolutionary algorithms, wherein the capabilities of such techniques to produce and maintain diversity among different solution points are desired to be compared on a quantitative basis. An engineering test example, the multi-objective design optimization of a speed-reducer, is provided to demonstrate an application of the proposed entropy metric.</description><identifier>ISSN: 1050-0472</identifier><identifier>EISSN: 1528-9001</identifier><identifier>DOI: 10.1115/1.1623186</identifier><language>eng</language><publisher>New York, NY: ASME</publisher><subject>Applied sciences ; Exact sciences and technology ; Mechanical engineering. Machine design</subject><ispartof>Journal of mechanical design (1990), 2003-12, Vol.125 (4), p.655-663</ispartof><rights>2004 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a308t-34f3a7c21d85f1dbb2ca301fe21538892109ffd8772be745bd63f63e09e659373</citedby><cites>FETCH-LOGICAL-a308t-34f3a7c21d85f1dbb2ca301fe21538892109ffd8772be745bd63f63e09e659373</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,778,782,27907,27908,38503</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=15485147$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Farhang-Mehr, Ali</creatorcontrib><creatorcontrib>Azarm, Shapour</creatorcontrib><title>An Information-Theoretic Entropy Metric for Assessing Multi-Objective Optimization Solution Set Quality</title><title>Journal of mechanical design (1990)</title><addtitle>J. Mech. Des</addtitle><description>An entropy-based metric is presented that can be used for assessing the quality of a solution set as obtained from multi-objective optimization techniques. This metric quantifies the “goodness” of a set of solutions in terms of distribution quality over the Pareto frontier. The metric can be used to compare the performance of different multi-objective optimization techniques. In particular, the metric can be used in analysis of multi-objective evolutionary algorithms, wherein the capabilities of such techniques to produce and maintain diversity among different solution points are desired to be compared on a quantitative basis. An engineering test example, the multi-objective design optimization of a speed-reducer, is provided to demonstrate an application of the proposed entropy metric.</description><subject>Applied sciences</subject><subject>Exact sciences and technology</subject><subject>Mechanical engineering. Machine design</subject><issn>1050-0472</issn><issn>1528-9001</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNpFkM1PwzAMxSsEEmNw4MylF5A4dMRJ06bHaRowiWlCjHOUds7I1DYjSZHGX0_3IXHys_3zk_yi6BbICAD4E4wgowxEdhYNgFORFITAea8JJwlJc3oZXXm_6YcgUj6I1uM2nrXaukYFY9tk-YXWYTBVPG2Ds9tdPMfg-rZH4rH36L1p1_G8q4NJFuUGq2B-MF5sg2nM78Ej_rB1dxQY4vdO1SbsrqMLrWqPN6c6jD6fp8vJa_K2eJlNxm-JYkSEhKWaqbyisBJcw6osadUvQCMFzoQoKJBC65XIc1pinvJylTGdMSQFZrxgORtGD0ffrbPfHfogG-MrrGvVou28pLkQORzAxyNYOeu9Qy23zjTK7SQQuY9SgjxF2bP3J1PlK1Vrp9rK-P8DngoO6d7z7sgp36Dc2M61_a8yzVhBGPsDsnV8iA</recordid><startdate>20031201</startdate><enddate>20031201</enddate><creator>Farhang-Mehr, Ali</creator><creator>Azarm, Shapour</creator><general>ASME</general><general>American Society of Mechanical Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope></search><sort><creationdate>20031201</creationdate><title>An Information-Theoretic Entropy Metric for Assessing Multi-Objective Optimization Solution Set Quality</title><author>Farhang-Mehr, Ali ; Azarm, Shapour</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a308t-34f3a7c21d85f1dbb2ca301fe21538892109ffd8772be745bd63f63e09e659373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Applied sciences</topic><topic>Exact sciences and technology</topic><topic>Mechanical engineering. Machine design</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Farhang-Mehr, Ali</creatorcontrib><creatorcontrib>Azarm, Shapour</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><jtitle>Journal of mechanical design (1990)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Farhang-Mehr, Ali</au><au>Azarm, Shapour</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Information-Theoretic Entropy Metric for Assessing Multi-Objective Optimization Solution Set Quality</atitle><jtitle>Journal of mechanical design (1990)</jtitle><stitle>J. Mech. Des</stitle><date>2003-12-01</date><risdate>2003</risdate><volume>125</volume><issue>4</issue><spage>655</spage><epage>663</epage><pages>655-663</pages><issn>1050-0472</issn><eissn>1528-9001</eissn><abstract>An entropy-based metric is presented that can be used for assessing the quality of a solution set as obtained from multi-objective optimization techniques. This metric quantifies the “goodness” of a set of solutions in terms of distribution quality over the Pareto frontier. The metric can be used to compare the performance of different multi-objective optimization techniques. In particular, the metric can be used in analysis of multi-objective evolutionary algorithms, wherein the capabilities of such techniques to produce and maintain diversity among different solution points are desired to be compared on a quantitative basis. An engineering test example, the multi-objective design optimization of a speed-reducer, is provided to demonstrate an application of the proposed entropy metric.</abstract><cop>New York, NY</cop><pub>ASME</pub><doi>10.1115/1.1623186</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1050-0472
ispartof Journal of mechanical design (1990), 2003-12, Vol.125 (4), p.655-663
issn 1050-0472
1528-9001
language eng
recordid cdi_proquest_miscellaneous_27887137
source ASME Transactions Journals (Current)
subjects Applied sciences
Exact sciences and technology
Mechanical engineering. Machine design
title An Information-Theoretic Entropy Metric for Assessing Multi-Objective Optimization Solution Set Quality
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T00%3A55%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=An%20Information-Theoretic%20Entropy%20Metric%20for%20Assessing%20Multi-Objective%20Optimization%20Solution%20Set%20Quality&rft.jtitle=Journal%20of%20mechanical%20design%20(1990)&rft.au=Farhang-Mehr,%20Ali&rft.date=2003-12-01&rft.volume=125&rft.issue=4&rft.spage=655&rft.epage=663&rft.pages=655-663&rft.issn=1050-0472&rft.eissn=1528-9001&rft_id=info:doi/10.1115/1.1623186&rft_dat=%3Cproquest_cross%3E27887137%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=27887137&rft_id=info:pmid/&rfr_iscdi=true