Stopping criteria for MAPLS-AW, a hybrid multi-objective evolutionary algorithm

Evolutionary algorithms are widely used to solve multi-objective optimization problems effectively by performing global search over the solution space to find better solutions. Hybrid evolutionary algorithms have been introduced to enhance the quality of solutions obtained. One such hybrid algorithm...

Full description

Saved in:

Bibliographic Details
Published in:	Soft computing (Berlin, Germany) Vol. 20; no. 6; pp. 2409 - 2432
Main Authors:	Bhuvana, J., Aravindan, Chandrabose
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2016 Springer Nature B.V
Subjects:	Artificial Intelligence Computational Intelligence Control Convergence Design Engineering Evolutionary algorithms Genetic algorithms Mathematical Logic and Foundations Mechatronics Methodologies and Application Multiple objective analysis Mutation Optimization Robotics Searching Solution space EELD Hybrid multi-objective evolutionary algorithms Stopping criteria Convergence
ISSN:	1432-7643, 1433-7479
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	Evolutionary algorithms are widely used to solve multi-objective optimization problems effectively by performing global search over the solution space to find better solutions. Hybrid evolutionary algorithms have been introduced to enhance the quality of solutions obtained. One such hybrid algorithm is memetic algorithm with preferential local search using adaptive weights (MAPLS-AW) (Bhuvana and Aravindan in Soft Comput, doi: 10.1007/s00500-015-1593-9 , 2015 ). MAPLS-AW, a variant of NSGA-II algorithm, recognizes the elite solutions of the population and preferences are given to them for local search during the evolution. This paper proposes a termination scheme derived from the features of MAPLS-AW. The objective of the proposed scheme is to detect convergence of population without compromising quality of solutions generated by MAPLS-AW. The proposed termination scheme consists of five stopping measures, among which two are newly proposed in this paper to predict the convergence of the population. Experimental study has been carried out to analyze the performance of the proposed termination scheme and to compare with existing termination schemes. Several constrained and unconstrained multi-objective benchmark test problems are used for this comparison. Additionally, a real-time application economic emission and load dispatch has also been used to check the performance of the proposed scheme. The results show that the proposed scheme identifies convergence of population much earlier than the existing stopping schemes without compromising the quality of solutions.
AbstractList	Evolutionary algorithms are widely used to solve multi-objective optimization problems effectively by performing global search over the solution space to find better solutions. Hybrid evolutionary algorithms have been introduced to enhance the quality of solutions obtained. One such hybrid algorithm is memetic algorithm with preferential local search using adaptive weights (MAPLS-AW) (Bhuvana and Aravindan in Soft Comput, doi: 10.1007/s00500-015-1593-9 , 2015 ). MAPLS-AW, a variant of NSGA-II algorithm, recognizes the elite solutions of the population and preferences are given to them for local search during the evolution. This paper proposes a termination scheme derived from the features of MAPLS-AW. The objective of the proposed scheme is to detect convergence of population without compromising quality of solutions generated by MAPLS-AW. The proposed termination scheme consists of five stopping measures, among which two are newly proposed in this paper to predict the convergence of the population. Experimental study has been carried out to analyze the performance of the proposed termination scheme and to compare with existing termination schemes. Several constrained and unconstrained multi-objective benchmark test problems are used for this comparison. Additionally, a real-time application economic emission and load dispatch has also been used to check the performance of the proposed scheme. The results show that the proposed scheme identifies convergence of population much earlier than the existing stopping schemes without compromising the quality of solutions. Evolutionary algorithms are widely used to solve multi-objective optimization problems effectively by performing global search over the solution space to find better solutions. Hybrid evolutionary algorithms have been introduced to enhance the quality of solutions obtained. One such hybrid algorithm is memetic algorithm with preferential local search using adaptive weights (MAPLS-AW) (Bhuvana and Aravindan in Soft Comput, doi:10.1007/s00500-015-1593-9, 2015). MAPLS-AW, a variant of NSGA-II algorithm, recognizes the elite solutions of the population and preferences are given to them for local search during the evolution. This paper proposes a termination scheme derived from the features of MAPLS-AW. The objective of the proposed scheme is to detect convergence of population without compromising quality of solutions generated by MAPLS-AW. The proposed termination scheme consists of five stopping measures, among which two are newly proposed in this paper to predict the convergence of the population. Experimental study has been carried out to analyze the performance of the proposed termination scheme and to compare with existing termination schemes. Several constrained and unconstrained multi-objective benchmark test problems are used for this comparison. Additionally, a real-time application economic emission and load dispatch has also been used to check the performance of the proposed scheme. The results show that the proposed scheme identifies convergence of population much earlier than the existing stopping schemes without compromising the quality of solutions.
Author	Aravindan, Chandrabose Bhuvana, J.
Author_xml	– sequence: 1 givenname: J. surname: Bhuvana fullname: Bhuvana, J. email: bhuvanaj@ssn.edu.in organization: Department of Computer Science and Engineering, SSN College of Engineering – sequence: 2 givenname: Chandrabose surname: Aravindan fullname: Aravindan, Chandrabose organization: Department of Computer Science and Engineering, SSN College of Engineering
BookMark	eNp9kF9LwzAUxYNMcJt-AN8CvhpNmrZJH8fwH0wmTPExpE26ZXRNTdLBvr2ZFQRBX-69D-d377lnAkatbTUAlwTfEIzZrcc4wxhhkiGSZwTREzAmKaWIpawYfc0JYnlKz8DE-y3GCWEZHYPlKtiuM-0aVs4E7YyEtXXwefayWKHZ-zWUcHMonVFw1zfBIFtudRXMXkO9t00fjG2lO0DZrG3kN7tzcFrLxuuL7z4Fb_d3r_NHtFg-PM1nC1RRkodYOdOSqyTnjCmuylQXqpC8lInCFaeFpnWa1UVJOMNU8ixXSa3KXFcsV1pqOgVXw97O2Y9e-yC2tndtPCmSgrACpxlPo4oNqspZ752uRWWCPJoOTppGECyO6YkhPRHTE8f0BI0k-UV2zuziq_8yycD4qG3X2v14-hv6BIAFg_Q
CitedBy_id	crossref_primary_10_1007_s10696_021_09410_1
Cites_doi	10.1162/evco.2009.17.4.17403 10.1016/S1568-4946(02)00062-5 10.1162/106365600568103 10.1109/4235.797969 10.1016/j.jss.2014.05.032 10.1007/s00500-008-0351-7 10.1162/106365600568202 10.1109/TSMCB.2005.856143 10.1016/j.asoc.2011.08.047 10.1115/1.3662552 10.1016/j.ins.2012.05.009 10.1162/evco.2010.18.1.18102 10.1109/TEVC.2011.2132725 10.1016/j.swevo.2011.11.003 10.1109/TEVC.2003.810758 10.1016/j.asoc.2014.02.009 10.1007/s00500-008-0347-3 10.1109/TEVC.2005.861417 10.1016/j.asoc.2010.11.014 10.1109/TEVC.2003.810752 10.1109/34.825752 10.1016/S0952-1976(98)00009-8 10.1016/j.ins.2014.11.051 10.1016/j.ins.2014.02.154 10.1162/evco.1999.7.3.205 10.1109/CEC.2010.5586265 10.1145/298151.298382 10.3233/FI-2012-754 10.1145/1274000.1274053 10.1007/978-1-4613-8997-2_15 10.1007/BFb0056872 10.1145/2463372.2463548 10.1109/CEC.2009.4983090 10.1109/SoCPaR.2011.6089270 10.1145/1569901.1569983 10.2514/6.2010-9233 10.1007/978-3-642-20573-6_53 10.1007/s00500-015-1593-9 10.1007/978-3-642-01020-0_19 10.1007/978-3-540-87700-4_82 10.1109/CEC.2010.5586474 10.1109/CEC.2002.1007032 10.1109/CEC.2009.4983020 10.1007/978-3-642-19893-9_2
ContentType	Journal Article
Copyright	Springer-Verlag Berlin Heidelberg 2015 Springer-Verlag Berlin Heidelberg 2015.
Copyright_xml	– notice: Springer-Verlag Berlin Heidelberg 2015 – notice: Springer-Verlag Berlin Heidelberg 2015.
DBID	AAYXX CITATION 8FE 8FG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ JQ2 K7- P5Z P62 PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI
DOI	10.1007/s00500-015-1651-3
DatabaseName	CrossRef ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition
DatabaseTitle	CrossRef Advanced Technologies & Aerospace Collection Computer Science Database ProQuest Central Student Technology Collection ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central Advanced Technologies & Aerospace Database ProQuest One Applied & Life Sciences ProQuest One Academic UKI Edition ProQuest Central Korea ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New)
DatabaseTitleList	Advanced Technologies & Aerospace Collection
Database_xml	– sequence: 1 dbid: P5Z name: Advanced Technologies & Aerospace Database url: https://search.proquest.com/hightechjournals sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering Computer Science
EISSN	1433-7479
EndPage	2432
ExternalDocumentID	10_1007_s00500_015_1651_3
GroupedDBID	-5B -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 1N0 1SB 203 29~ 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5VS 67Z 6NX 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTD ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BDATZ BENPR BGLVJ BGNMA BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K7- KDC KOV LAS LLZTM M4Y MA- N2Q NB0 NPVJJ NQJWS NU0 O9- O93 O9J OAM P2P P9P PF0 PT4 PT5 QOS R89 R9I RIG RNI ROL RPX RSV RZK S16 S1Z S27 S3B SAP SDH SEG SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7X Z7Y Z7Z Z81 Z83 Z88 ZMTXR AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG ADKFA AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION PHGZM PHGZT PQGLB 8FE 8FG AZQEC DWQXO GNUQQ JQ2 P62 PKEHL PQEST PQQKQ PQUKI
ID	FETCH-LOGICAL-c316t-c387ea8d26877d8db4e9d9a8ba2d0c839e3f45f9b18703a856d2fdb6ec76deae3
IEDL.DBID	P5Z
ISICitedReferencesCount	3
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000376103900020&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	1432-7643
IngestDate	Wed Nov 05 06:47:46 EST 2025 Sat Nov 29 03:19:51 EST 2025 Tue Nov 18 21:25:46 EST 2025 Fri Feb 21 02:40:11 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	6
Keywords	EELD Hybrid multi-objective evolutionary algorithms Stopping criteria Convergence
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c316t-c387ea8d26877d8db4e9d9a8ba2d0c839e3f45f9b18703a856d2fdb6ec76deae3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
PQID	2917904584
PQPubID	2043697
PageCount	24
ParticipantIDs	proquest_journals_2917904584 crossref_citationtrail_10_1007_s00500_015_1651_3 crossref_primary_10_1007_s00500_015_1651_3 springer_journals_10_1007_s00500_015_1651_3
PublicationCentury	2000
PublicationDate	20160600 2016-6-00 20160601
PublicationDateYYYYMMDD	2016-06-01
PublicationDate_xml	– month: 6 year: 2016 text: 20160600
PublicationDecade	2010
PublicationPlace	Berlin/Heidelberg
PublicationPlace_xml	– name: Berlin/Heidelberg – name: Heidelberg
PublicationSubtitle	A Fusion of Foundations, Methodologies and Applications
PublicationTitle	Soft computing (Berlin, Germany)
PublicationTitleAbbrev	Soft Comput
PublicationYear	2016
Publisher	Springer Berlin Heidelberg Springer Nature B.V
Publisher_xml	– name: Springer Berlin Heidelberg – name: Springer Nature B.V
References	CR38 Abedian, Ghiasi, Dehghan-Manshadi (CR1) 2006; 3 Wood, Wollenberg (CR48) 2011 CR31 CR30 Wang, Wang, Yang (CR47) 2009; 13 Ishibuchi, Yoshida, Murata (CR26) 2003; 7 Molina, Lozano, García-Martínez, Herrera (CR34) 2010; 18 Arab, Alfi (CR2) 2015; 299 Chen, Ong, Lim, Tan (CR13) 2011; 15 El-Mihoub, Hopgood, Nolle, Battersby (CR19) 2006; 13 Veček, Mernik, Črepinšek (CR43) 2014; 277 Basu (CR4) 2011; 11 CR6 Črepinšek, Liu, Mernik (CR15) 2014; 19 CR8 CR7 CR49 Balakrishnan, Kannan, Aravindan, Subathra (CR3) 2003; 2 CR46 Fraser, Arcuri, McMinn (CR21) 2015; 103 CR45 CR44 Zitzler, Deb, Thiele (CR52) 2000; 8 Mignotte, Collet, Perez, Bouthemy (CR33) 2000; 22 CR42 CR40 Deb (CR16) 1998; 7 CR18 Zitzler, Thiele (CR51) 1999; 3 CR17 CR12 CR11 Mongus, Repnik, Mernik, Žalik (CR35) 2012; 12 CR50 Zitzler, Thiele, Laumanns, Fonseca, Da Fonseca (CR53) 2003; 7 Bishop, Welch (CR9) 2001; 8 Neri, Cotta (CR36) 2012; 2 Črepinšek, Liu, Mernik (CR14) 2012; 212 Merz, Freisleben (CR32) 2000; 8 Santamaría, Cordøn, Damas, García-Torres, Quirin (CR39) 2009; 13 Trautmann, Wagner, Naujoks, Preuss, Mehnen (CR41) 2009; 17 Bhandari, Murthy, Pal (CR5) 2012; 120 CR29 CR28 Ong, Lim, Zhu, Wong (CR37) 2006; 36 CR24 CR23 CR22 Huband, Hingston, Barone, While (CR25) 2006; 10 Kalman (CR27) 1960; 82 CR20 Bos (CR10) 1998; 11 RE Kalman (1651_CR27) 1960; 82 1651_CR49 M Basu (1651_CR4) 2011; 11 1651_CR6 G Fraser (1651_CR21) 2015; 103 M Mignotte (1651_CR33) 2000; 22 1651_CR42 1651_CR8 1651_CR7 1651_CR40 1651_CR45 1651_CR46 1651_CR44 YS Ong (1651_CR37) 2006; 36 A Arab (1651_CR2) 2015; 299 1651_CR38 AJ Wood (1651_CR48) 2011 E Zitzler (1651_CR51) 1999; 3 D Molina (1651_CR34) 2010; 18 A Abedian (1651_CR1) 2006; 3 H Wang (1651_CR47) 2009; 13 1651_CR30 P Merz (1651_CR32) 2000; 8 S Balakrishnan (1651_CR3) 2003; 2 1651_CR31 X Chen (1651_CR13) 2011; 15 D Bhandari (1651_CR5) 2012; 120 M Črepinšek (1651_CR14) 2012; 212 1651_CR28 E Zitzler (1651_CR52) 2000; 8 1651_CR29 1651_CR20 1651_CR23 1651_CR24 1651_CR22 H Trautmann (1651_CR41) 2009; 17 G Bishop (1651_CR9) 2001; 8 E Zitzler (1651_CR53) 2003; 7 D Mongus (1651_CR35) 2012; 12 F Neri (1651_CR36) 2012; 2 J Santamaría (1651_CR39) 2009; 13 S Huband (1651_CR25) 2006; 10 K Deb (1651_CR16) 1998; 7 N Veček (1651_CR43) 2014; 277 A Bos (1651_CR10) 1998; 11 1651_CR17 M Črepinšek (1651_CR15) 2014; 19 1651_CR18 H Ishibuchi (1651_CR26) 2003; 7 1651_CR50 TA El-Mihoub (1651_CR19) 2006; 13 1651_CR12 1651_CR11
References_xml	– ident: CR45 – ident: CR22 – volume: 17 start-page: 493 issue: 4 year: 2009 end-page: 509 ident: CR41 article-title: Statistical methods for convergence detection of multi-objective evolutionary algorithms publication-title: Evol comput doi: 10.1162/evco.2009.17.4.17403 – ident: CR49 – volume: 2 start-page: 297 issue: 4 year: 2003 end-page: 305 ident: CR3 article-title: On-line emission and economic load dispatch using adaptive Hopfield neural network publication-title: Appl Soft Comput doi: 10.1016/S1568-4946(02)00062-5 – ident: CR12 – volume: 8 start-page: 61 issue: 1 year: 2000 end-page: 91 ident: CR32 article-title: Fitness landscapes, memetic algorithms, and greedy operators for graph bipartitioning publication-title: Evol Comput doi: 10.1162/106365600568103 – ident: CR29 – volume: 3 start-page: 257 issue: 4 year: 1999 end-page: 271 ident: CR51 article-title: Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach publication-title: IEEE Trans Evol Comput doi: 10.1109/4235.797969 – ident: CR8 – volume: 103 start-page: 311 year: 2015 end-page: 327 ident: CR21 article-title: A memetic algorithm for whole test suite generation publication-title: J Syst Softw doi: 10.1016/j.jss.2014.05.032 – volume: 13 start-page: 883 issue: 8–9 year: 2009 end-page: 904 ident: CR39 article-title: Performance evaluation of memetic approaches in 3d reconstruction of forensic objects publication-title: Soft Comput doi: 10.1007/s00500-008-0351-7 – volume: 8 start-page: 173 issue: 2 year: 2000 end-page: 195 ident: CR52 article-title: Comparison of multiobjective evolutionary algorithms: empirical results publication-title: Evol Comput doi: 10.1162/106365600568202 – ident: CR42 – ident: CR46 – volume: 36 start-page: 141 issue: 1 year: 2006 end-page: 152 ident: CR37 article-title: Classification of adaptive memetic algorithms: a comparative study publication-title: IEEE Trans Syst Man Cybern Part B Cybern doi: 10.1109/TSMCB.2005.856143 – ident: CR50 – ident: CR11 – volume: 12 start-page: 266 issue: 1 year: 2012 end-page: 273 ident: CR35 article-title: A hybrid evolutionary algorithm for tuning a cloth-simulation model publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2011.08.047 – volume: 82 start-page: 35 issue: 1 year: 1960 end-page: 45 ident: CR27 article-title: A new approach to linear filtering and prediction problems publication-title: J Basic Eng doi: 10.1115/1.3662552 – volume: 212 start-page: 79 year: 2012 end-page: 93 ident: CR14 article-title: A note on teaching-learning-based optimization algorithm publication-title: Inf Sci doi: 10.1016/j.ins.2012.05.009 – volume: 18 start-page: 27 issue: 1 year: 2010 end-page: 63 ident: CR34 article-title: Memetic algorithms for continuous optimisation based on local search chains publication-title: Evol Comput doi: 10.1162/evco.2010.18.1.18102 – ident: CR18 – volume: 15 start-page: 591 issue: 5 year: 2011 end-page: 607 ident: CR13 article-title: A multi-facet survey on memetic computation publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2011.2132725 – volume: 2 start-page: 1 year: 2012 end-page: 14 ident: CR36 article-title: Memetic algorithms and memetic computing optimization: a literature review publication-title: Swarm Evol Comput doi: 10.1016/j.swevo.2011.11.003 – ident: CR30 – volume: 7 start-page: 117 issue: 2 year: 2003 end-page: 132 ident: CR53 article-title: Performance assessment of multiobjective optimizers: an analysis and review publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2003.810758 – volume: 19 start-page: 161 year: 2014 end-page: 170 ident: CR15 article-title: Replication and comparison of computational experiments in applied evolutionary computing: common pitfalls and guidelines to avoid them publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2014.02.009 – volume: 13 start-page: 763 issue: 8–9 year: 2009 end-page: 780 ident: CR47 article-title: A memetic algorithm with adaptive hill climbing strategy for dynamic optimization problems publication-title: Soft Comput doi: 10.1007/s00500-008-0347-3 – ident: CR6 – volume: 10 start-page: 477 issue: 5 year: 2006 end-page: 506 ident: CR25 article-title: A review of multiobjective test problems and a scalable test problem toolkit publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2005.861417 – ident: CR40 – volume: 11 start-page: 2845 issue: 2 year: 2011 end-page: 2853 ident: CR4 article-title: Economic environmental dispatch using multi-objective differential evolution publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2010.11.014 – ident: CR23 – volume: 8 start-page: 599 issue: 27 year: 2001 end-page: 3175 ident: CR9 article-title: An introduction to the Kalman filter publication-title: Proc SIGGRAPH Course – ident: CR44 – volume: 7 start-page: 204 issue: 2 year: 2003 end-page: 223 ident: CR26 article-title: Balance between genetic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2003.810752 – volume: 22 start-page: 129 issue: 2 year: 2000 end-page: 141 ident: CR33 article-title: Hybrid genetic optimization and statistical model based approach for the classification of shadow shapes in sonar imagery publication-title: IEEE Trans Pattern Anal Mach Intell doi: 10.1109/34.825752 – ident: CR38 – ident: CR17 – volume: 13 start-page: 124 issue: 2 year: 2006 end-page: 137 ident: CR19 article-title: Hybrid genetic algorithms: a review publication-title: Eng Lett – volume: 120 start-page: 145 issue: 2 year: 2012 end-page: 164 ident: CR5 article-title: Variance as a stopping criterion for genetic algorithms with elitist model publication-title: Fundam Inform – volume: 11 start-page: 377 issue: 3 year: 1998 end-page: 382 ident: CR10 article-title: Aircraft conceptual design by genetic/gradient-guided optimization publication-title: Eng Appl Artif Intell doi: 10.1016/S0952-1976(98)00009-8 – ident: CR31 – year: 2011 ident: CR48 publication-title: Power generation, operation, and control – volume: 3 start-page: 167 issue: 4 year: 2006 ident: CR1 article-title: An introduction to a new criterion proposed for stopping GA optimization process of a laminated composite plate publication-title: JAST-TEHRAN – volume: 299 start-page: 117 year: 2015 end-page: 142 ident: CR2 article-title: An adaptive gradient descent-based local search in memetic algorithm applied to optimal controller design publication-title: Inf Sci doi: 10.1016/j.ins.2014.11.051 – ident: CR7 – ident: CR28 – volume: 277 start-page: 656 year: 2014 end-page: 679 ident: CR43 article-title: A chess rating system for evolutionary algorithms: a new method for the comparison and ranking of evolutionary algorithms publication-title: Inf Sci doi: 10.1016/j.ins.2014.02.154 – ident: CR24 – volume: 7 start-page: 205 year: 1998 end-page: 230 ident: CR16 article-title: Multi-objective genetic algorithms: problem difficulties and construction of test problems publication-title: Evol Comput doi: 10.1162/evco.1999.7.3.205 – ident: CR20 – ident: 1651_CR24 doi: 10.1109/CEC.2010.5586265 – ident: 1651_CR42 doi: 10.1145/298151.298382 – volume: 8 start-page: 173 issue: 2 year: 2000 ident: 1651_CR52 publication-title: Evol Comput doi: 10.1162/106365600568202 – volume: 120 start-page: 145 issue: 2 year: 2012 ident: 1651_CR5 publication-title: Fundam Inform doi: 10.3233/FI-2012-754 – volume: 10 start-page: 477 issue: 5 year: 2006 ident: 1651_CR25 publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2005.861417 – volume: 15 start-page: 591 issue: 5 year: 2011 ident: 1651_CR13 publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2011.2132725 – volume: 8 start-page: 599 issue: 27 year: 2001 ident: 1651_CR9 publication-title: Proc SIGGRAPH Course – volume: 13 start-page: 124 issue: 2 year: 2006 ident: 1651_CR19 publication-title: Eng Lett – ident: 1651_CR28 doi: 10.1145/1274000.1274053 – ident: 1651_CR31 doi: 10.1007/978-1-4613-8997-2_15 – volume: 17 start-page: 493 issue: 4 year: 2009 ident: 1651_CR41 publication-title: Evol comput doi: 10.1162/evco.2009.17.4.17403 – volume: 13 start-page: 763 issue: 8–9 year: 2009 ident: 1651_CR47 publication-title: Soft Comput doi: 10.1007/s00500-008-0347-3 – volume: 7 start-page: 204 issue: 2 year: 2003 ident: 1651_CR26 publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2003.810752 – ident: 1651_CR50 doi: 10.1007/BFb0056872 – ident: 1651_CR20 doi: 10.1145/2463372.2463548 – volume: 82 start-page: 35 issue: 1 year: 1960 ident: 1651_CR27 publication-title: J Basic Eng doi: 10.1115/1.3662552 – ident: 1651_CR38 – volume: 11 start-page: 377 issue: 3 year: 1998 ident: 1651_CR10 publication-title: Eng Appl Artif Intell doi: 10.1016/S0952-1976(98)00009-8 – ident: 1651_CR30 – ident: 1651_CR29 doi: 10.1109/CEC.2009.4983090 – volume: 22 start-page: 129 issue: 2 year: 2000 ident: 1651_CR33 publication-title: IEEE Trans Pattern Anal Mach Intell doi: 10.1109/34.825752 – volume: 13 start-page: 883 issue: 8–9 year: 2009 ident: 1651_CR39 publication-title: Soft Comput doi: 10.1007/s00500-008-0351-7 – volume: 18 start-page: 27 issue: 1 year: 2010 ident: 1651_CR34 publication-title: Evol Comput doi: 10.1162/evco.2010.18.1.18102 – volume: 19 start-page: 161 year: 2014 ident: 1651_CR15 publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2014.02.009 – ident: 1651_CR7 doi: 10.1109/SoCPaR.2011.6089270 – ident: 1651_CR23 doi: 10.1145/1569901.1569983 – volume: 2 start-page: 297 issue: 4 year: 2003 ident: 1651_CR3 publication-title: Appl Soft Comput doi: 10.1016/S1568-4946(02)00062-5 – ident: 1651_CR49 – ident: 1651_CR22 doi: 10.2514/6.2010-9233 – ident: 1651_CR6 doi: 10.1007/978-3-642-20573-6_53 – volume: 103 start-page: 311 year: 2015 ident: 1651_CR21 publication-title: J Syst Softw doi: 10.1016/j.jss.2014.05.032 – volume: 36 start-page: 141 issue: 1 year: 2006 ident: 1651_CR37 publication-title: IEEE Trans Syst Man Cybern Part B Cybern doi: 10.1109/TSMCB.2005.856143 – volume: 2 start-page: 1 year: 2012 ident: 1651_CR36 publication-title: Swarm Evol Comput doi: 10.1016/j.swevo.2011.11.003 – ident: 1651_CR8 doi: 10.1007/s00500-015-1593-9 – ident: 1651_CR17 – volume: 277 start-page: 656 year: 2014 ident: 1651_CR43 publication-title: Inf Sci doi: 10.1016/j.ins.2014.02.154 – ident: 1651_CR45 doi: 10.1007/978-3-642-01020-0_19 – volume: 212 start-page: 79 year: 2012 ident: 1651_CR14 publication-title: Inf Sci doi: 10.1016/j.ins.2012.05.009 – ident: 1651_CR40 doi: 10.1007/978-3-540-87700-4_82 – ident: 1651_CR44 doi: 10.1109/CEC.2010.5586474 – volume: 7 start-page: 205 year: 1998 ident: 1651_CR16 publication-title: Evol Comput doi: 10.1162/evco.1999.7.3.205 – volume: 12 start-page: 266 issue: 1 year: 2012 ident: 1651_CR35 publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2011.08.047 – volume: 3 start-page: 167 issue: 4 year: 2006 ident: 1651_CR1 publication-title: JAST-TEHRAN – volume: 11 start-page: 2845 issue: 2 year: 2011 ident: 1651_CR4 publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2010.11.014 – volume-title: Power generation, operation, and control year: 2011 ident: 1651_CR48 – volume: 299 start-page: 117 year: 2015 ident: 1651_CR2 publication-title: Inf Sci doi: 10.1016/j.ins.2014.11.051 – ident: 1651_CR18 doi: 10.1109/CEC.2002.1007032 – volume: 3 start-page: 257 issue: 4 year: 1999 ident: 1651_CR51 publication-title: IEEE Trans Evol Comput doi: 10.1109/4235.797969 – volume: 7 start-page: 117 issue: 2 year: 2003 ident: 1651_CR53 publication-title: IEEE Trans Evol Comput doi: 10.1109/TEVC.2003.810758 – ident: 1651_CR11 doi: 10.1109/CEC.2009.4983020 – ident: 1651_CR12 – volume: 8 start-page: 61 issue: 1 year: 2000 ident: 1651_CR32 publication-title: Evol Comput doi: 10.1162/106365600568103 – ident: 1651_CR46 doi: 10.1007/978-3-642-19893-9_2
SSID	ssj0021753
Score	2.104209
Snippet	Evolutionary algorithms are widely used to solve multi-objective optimization problems effectively by performing global search over the solution space to find...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	2409
SubjectTerms	Artificial Intelligence Computational Intelligence Control Convergence Design Engineering Evolutionary algorithms Genetic algorithms Mathematical Logic and Foundations Mechatronics Methodologies and Application Multiple objective analysis Mutation Optimization Robotics Searching Solution space
SummonAdditionalLinks	– databaseName: SpringerLink Journals dbid: RSV link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwED5BYYCBQgFRXvLABFjK07HHCoEYoFSUR7foHDstCFrUBqT-e-w0aQEBEizxENuKzvf4ojt_B3DgCOUy5SINU8engSc5RZ44VDg8EFJKN_IxbzYRNZu80xGt4h73qKx2L1OSuaeeXnazVCW2iCqkLgtd6s_Dgol23PZruG7fTf-yCupJgwMMdDTxtkxlfrfF52A0Q5hfkqJ5rDmr_usrV2GlgJakMdGFNZjT_RpUy7YNpLDiGix_4CBch6t2NrAcDV1i_IclbkZicCy5bLQu2rRxf0yQ9Mb2WhfJaw_pQD5OfCTRb4Xa4nBM8Kk7MOt7zxtwe3Z6c3JOiy4LNPFdlpknjzRy5TEeRYorGWihBHKJnnISg5-0nwZhKqRrTNtHHjLlpUoynURMadT-JlT6g77eAsIclAlyobwQA8EkqkTJ1LOjSJnAOjiluOOkoCC3nTCe4il5ci6-2IgvtuKL_TocTpe8TPg3fpu8W55hXJjiKPaEJSGz6eA6HJVnNnv942bbf5q9A0sGSrFJEdkuVLLhq96DxeQtexgN93MNfQeQBeAl priority: 102 providerName: Springer Nature
Title	Stopping criteria for MAPLS-AW, a hybrid multi-objective evolutionary algorithm
URI	https://link.springer.com/article/10.1007/s00500-015-1651-3 https://www.proquest.com/docview/2917904584
Volume	20
WOSCitedRecordID	wos000376103900020&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1433-7479 dateEnd: 20241209 omitProxy: false ssIdentifier: ssj0021753 issn: 1432-7643 databaseCode: P5Z dateStart: 20090101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 1433-7479 dateEnd: 20241209 omitProxy: false ssIdentifier: ssj0021753 issn: 1432-7643 databaseCode: K7- dateStart: 20090101 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1433-7479 dateEnd: 20241209 omitProxy: false ssIdentifier: ssj0021753 issn: 1432-7643 databaseCode: BENPR dateStart: 20090101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLink Journals customDbUrl: eissn: 1433-7479 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0021753 issn: 1432-7643 databaseCode: RSV dateStart: 19970401 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LbxMxEB6RhEMvhEcRKSHygVOp1X167RMKqBESkEZJgYrLavzYBJQmIVki9d9jb7yJQKKXXryH3bWsHXvmW8_4-wBeB0KHTIdI0yKIaRJJTpGrgIqAJ0JKGWYxVmIT2XDIr6_FyG-4bXxZZe0TK0etl8rtkZ9HwnFJuaze29Uv6lSjXHbVS2g0oOVYEpx0wyj9vv_h8iyUFhJYFGlDb53VDCoS0dSdqQ5TGrI0pPHfcekANv_Jj1ZhZ9C-74AfwyMPOEl_N0OewAOzeArtWsyB-LX9DC4n5dJxNUyJ9SOOwBmJxbPkc3_0aUL7384IktmtO95FqhpEupQ_d76SmK2fvri-JTif2kGUs5tj-DK4uHr_gXq1BarikJW25ZlBriPGs0xzLRMjtEAuMdKBsjjKxEWSFkKGdonHyFOmo0JLZlTGtEETP4fmYrkwL4CwAKVCLnSUYiKYRK20LCJ3FQUT2IGg_ta58lTkThFjnu9JlCvz5NY8uTNPHnfgdP_KasfDcdfD3dokuV-Sm_xgjw68qY16uP3fzk7u7uwlHFkMxXbVY11oluvf5hU8VNvyx2bdg9a7i-Fo3IPGx4z2qtlp2_Hk6x_03uoW
linkProvider	ProQuest
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB4BRaKXUihVl0frA1xarCZO4tiHCq3aItAuWyRAcAvjR3gIduluoNo_1d9YO49dUancOPSSHJKMlPibmc8Z-xuAzUCakJsQaZIHEY2ZEhSFDqgMRCyVUmEaYdlsIu31xNmZPJyB381eGL-ssomJZaA2A-3_kX9m0mtJ-arezt1P6rtG-epq00KjgkXHjn-5Kdvoy_43N75bjO1-P_66R-uuAlRHIS_cUaQWhWFcpKkRRsVWGolCITOBdnzBRnmc5FKFDsoRioQblhvFrU65sWgjZ3cWXsTOjPerTkonE7xa9dJREMdaXapvqqhBKVqa-D3cYUJDnoQ0epwHp-T2r3psmeZ2F_-3D_QaXtWEmrQrD1iCGdtfhsWmWQWpY9cb-HFUDLwWxQVxcdILVCNxfJ0ctA-7R7R9uk2QXI799jVSrrGkA3Vd5QJiH2r3xOGY4M2Fe-ni8nYFTp7ltd7CXH_Qt--A8ACVRiENSzCWXKHRRuXMn2XOJbYgaMY207XUuu_4cZNNRKJLOGQODpmHQxa14OPkkbtKZ-Spm9cbCGR1yBll0_FvwacGRNPL_zS2-rSxD7Cwd3zQzbr7vc4avHR8kVcr5dZhrhje2w2Y1w_F1Wj4vvQFAufPja0_dS9GIQ
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1ZS8QwEB68EH3wFtczDz6pwZ5p8rioi6KuC-v1ViZN6oHuym4V_PcmPdYDFcSX9qFJKJOZzBdm5huATUcolykXaZg6Pg08ySnyxKHC4YGQUrqRj3mziajZ5NfXolX2Oe1X2e5VSLKoabAsTZ1s90mlu4PCN0tbYhOqQuqy0KX-MIwGNo_eXtfbl4MbV0lDaTCBgZHG91Zhze-W-OyY3tHmlwBp7nca0__-4xmYKiEnqRc6MgtDujMH01U7B1Ja9xxMfuAmnIezdta13A03xJwrltAZicG35LTeOmnT-tUOQXL7asu9SJ6TSLvyvjg7iX4p1Rl7rwQfbrpm_u3jAlw0Ds73DmnZfYEmvssy8-SRRq48xqNIcSUDLZRALtFTTmJwlfbTIEyFdI3J-8hDprxUSaaTiCmN2l-EkU63o5eAMAdlglwoL8RAMIkqUTL17FukTGANnEr0cVJSk9sOGQ_xgFQ5F19sxBdb8cV-DbYGU54KXo7fBq9W-xmXJtqPPWHJyWyYuAbb1f69f_5xseU_jd6A8dZ-Iz45ah6vwIRBW6zIM1uFkaz3rNdgLHnJ7vq99Vxx3wC2Eevt
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Stopping+criteria+for+MAPLS-AW%2C+a+hybrid+multi-objective+evolutionary+algorithm&rft.jtitle=Soft+computing+%28Berlin%2C+Germany%29&rft.au=Bhuvana%2C+J&rft.au=Aravindan%2C+Chandrabose&rft.date=2016-06-01&rft.pub=Springer+Nature+B.V&rft.issn=1432-7643&rft.eissn=1433-7479&rft.volume=20&rft.issue=6&rft.spage=2409&rft.epage=2432&rft_id=info:doi/10.1007%2Fs00500-015-1651-3
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1432-7643&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1432-7643&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1432-7643&client=summon