Hybridization of Strength Pareto Multiobjective Optimization with Modified Cuckoo Search Algorithm for Rectangular Array

This research proposes the various versions of modified cuckoo search (MCS) metaheuristic algorithm deploying the strength Pareto evolutionary algorithm (SPEA) multiobjective (MO) optimization technique in rectangular array geometry synthesis. Precisely, the MCS algorithm is proposed by incorporatin...

Full description

Saved in:
Bibliographic Details
Published in:Scientific reports Vol. 7; no. 1; p. 46521
Main Authors: Abdul Rani, Khairul Najmy, Abdulmalek, Mohamedfareq, A. Rahim, Hasliza, Siew Chin, Neoh, Abd Wahab, Alawiyah
Format: Journal Article
Language:English
Published: London Nature Publishing Group UK 20.04.2017
Nature Publishing Group
Subjects:
ISSN:2045-2322, 2045-2322
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract This research proposes the various versions of modified cuckoo search (MCS) metaheuristic algorithm deploying the strength Pareto evolutionary algorithm (SPEA) multiobjective (MO) optimization technique in rectangular array geometry synthesis. Precisely, the MCS algorithm is proposed by incorporating the Roulette wheel selection operator to choose the initial host nests (individuals) that give better results, adaptive inertia weight to control the positions exploration of the potential best host nests (solutions), and dynamic discovery rate to manage the fraction probability of finding the best host nests in 3-dimensional search space. In addition, the MCS algorithm is hybridized with the particle swarm optimization (PSO) and hill climbing (HC) stochastic techniques along with the standard strength Pareto evolutionary algorithm (SPEA) forming the MCSPSOSPEA and MCSHCSPEA, respectively. All the proposed MCS-based algorithms are examined to perform MO optimization on Zitzler–Deb–Thiele’s (ZDT’s) test functions. Pareto optimum trade-offs are done to generate a set of three non-dominated solutions, which are locations, excitation amplitudes, and excitation phases of array elements, respectively. Overall, simulations demonstrates that the proposed MCSPSOSPEA outperforms other compatible competitors, in gaining a high antenna directivity, small half-power beamwidth (HPBW), low average side lobe level (SLL) suppression, and/or significant predefined nulls mitigation, simultaneously.
AbstractList This research proposes the various versions of modified cuckoo search (MCS) metaheuristic algorithm deploying the strength Pareto evolutionary algorithm (SPEA) multiobjective (MO) optimization technique in rectangular array geometry synthesis. Precisely, the MCS algorithm is proposed by incorporating the Roulette wheel selection operator to choose the initial host nests (individuals) that give better results, adaptive inertia weight to control the positions exploration of the potential best host nests (solutions), and dynamic discovery rate to manage the fraction probability of finding the best host nests in 3-dimensional search space. In addition, the MCS algorithm is hybridized with the particle swarm optimization (PSO) and hill climbing (HC) stochastic techniques along with the standard strength Pareto evolutionary algorithm (SPEA) forming the MCSPSOSPEA and MCSHCSPEA, respectively. All the proposed MCS-based algorithms are examined to perform MO optimization on Zitzler–Deb–Thiele’s (ZDT’s) test functions. Pareto optimum trade-offs are done to generate a set of three non-dominated solutions, which are locations, excitation amplitudes, and excitation phases of array elements, respectively. Overall, simulations demonstrates that the proposed MCSPSOSPEA outperforms other compatible competitors, in gaining a high antenna directivity, small half-power beamwidth (HPBW), low average side lobe level (SLL) suppression, and/or significant predefined nulls mitigation, simultaneously.
This research proposes the various versions of modified cuckoo search (MCS) metaheuristic algorithm deploying the strength Pareto evolutionary algorithm (SPEA) multiobjective (MO) optimization technique in rectangular array geometry synthesis. Precisely, the MCS algorithm is proposed by incorporating the Roulette wheel selection operator to choose the initial host nests (individuals) that give better results, adaptive inertia weight to control the positions exploration of the potential best host nests (solutions), and dynamic discovery rate to manage the fraction probability of finding the best host nests in 3-dimensional search space. In addition, the MCS algorithm is hybridized with the particle swarm optimization (PSO) and hill climbing (HC) stochastic techniques along with the standard strength Pareto evolutionary algorithm (SPEA) forming the MCSPSOSPEA and MCSHCSPEA, respectively. All the proposed MCS-based algorithms are examined to perform MO optimization on Zitzler-Deb-Thiele's (ZDT's) test functions. Pareto optimum trade-offs are done to generate a set of three non-dominated solutions, which are locations, excitation amplitudes, and excitation phases of array elements, respectively. Overall, simulations demonstrates that the proposed MCSPSOSPEA outperforms other compatible competitors, in gaining a high antenna directivity, small half-power beamwidth (HPBW), low average side lobe level (SLL) suppression, and/or significant predefined nulls mitigation, simultaneously.This research proposes the various versions of modified cuckoo search (MCS) metaheuristic algorithm deploying the strength Pareto evolutionary algorithm (SPEA) multiobjective (MO) optimization technique in rectangular array geometry synthesis. Precisely, the MCS algorithm is proposed by incorporating the Roulette wheel selection operator to choose the initial host nests (individuals) that give better results, adaptive inertia weight to control the positions exploration of the potential best host nests (solutions), and dynamic discovery rate to manage the fraction probability of finding the best host nests in 3-dimensional search space. In addition, the MCS algorithm is hybridized with the particle swarm optimization (PSO) and hill climbing (HC) stochastic techniques along with the standard strength Pareto evolutionary algorithm (SPEA) forming the MCSPSOSPEA and MCSHCSPEA, respectively. All the proposed MCS-based algorithms are examined to perform MO optimization on Zitzler-Deb-Thiele's (ZDT's) test functions. Pareto optimum trade-offs are done to generate a set of three non-dominated solutions, which are locations, excitation amplitudes, and excitation phases of array elements, respectively. Overall, simulations demonstrates that the proposed MCSPSOSPEA outperforms other compatible competitors, in gaining a high antenna directivity, small half-power beamwidth (HPBW), low average side lobe level (SLL) suppression, and/or significant predefined nulls mitigation, simultaneously.
ArticleNumber 46521
Author A. Rahim, Hasliza
Siew Chin, Neoh
Abd Wahab, Alawiyah
Abdulmalek, Mohamedfareq
Abdul Rani, Khairul Najmy
Author_xml – sequence: 1
  givenname: Khairul Najmy
  surname: Abdul Rani
  fullname: Abdul Rani, Khairul Najmy
  email: khairulnajmy@unimap.edu.my
  organization: Department of Electronics Engineering Technology, Bioelectromagnetics Research Group (BioEM), Faculty of Engineering Technology, Universiti Malaysia Perlis
– sequence: 2
  givenname: Mohamedfareq
  surname: Abdulmalek
  fullname: Abdulmalek, Mohamedfareq
  organization: Faculty of Engineering and Information Sciences, University of Wollongong in Dubai
– sequence: 3
  givenname: Hasliza
  surname: A. Rahim
  fullname: A. Rahim, Hasliza
  organization: Bioelectromagnetics Research Group (BioEM), School of Computer and Communications Engineering, Universiti Malaysia Perlis
– sequence: 4
  givenname: Neoh
  surname: Siew Chin
  fullname: Siew Chin, Neoh
  organization: Faculty of Engineering, Technology & Built Environment, University College Sedaya International
– sequence: 5
  givenname: Alawiyah
  surname: Abd Wahab
  fullname: Abd Wahab, Alawiyah
  organization: School of Computing, Universiti Utara Malaysia
BackLink https://www.ncbi.nlm.nih.gov/pubmed/28425443$$D View this record in MEDLINE/PubMed
BookMark eNptkV1vFCEYhYmpsbX2wj9gSLxRk7V8zQzcmGw2ak3a1Fi9Jgwws6wzsAWmuv56qdtu1io3kJznPTkv5yk48MFbAJ5j9BYjyk9TtGtWVwQ_AkcEsWpGKCEHe-9DcJLSCpVTEcGweAIOCWekYowegZ9nmzY6436p7IKHoYNXOVrf5yX8rKLNAV5MQ5HaldXZ3Vh4uc5uvMd_uMJdBOM6Zw1cTPp7CPDKqqiXcD70IRZ9hF2I8EsZV76fBhXhPEa1eQYed2pI9uTuPgbfPrz_ujibnV9-_LSYn880ozzPaAncoaZpqTLMClRRhBlttTGspcIQTbkWLe8YETWubdUYWom6pQTVvG40pcfg3dZ3PbWjNdr6HNUg19GNKm5kUE7-rXi3lH24kRUVDad1MXh1ZxDD9WRTlqNL2g6D8jZMSWIuMOKifHRBXz5AV2GKvqwnsUCU8YrzW-rFfqJdlPtSCvB6C-gYUqm32yEYydvO5a7zwp4-YLXLf8opy7jhvxNvthOpuPrexr2Q_8C_AZaivlo
CitedBy_id crossref_primary_10_1007_s11431_019_9532_5
crossref_primary_10_1177_09596518231153231
crossref_primary_10_1109_ACCESS_2020_2976127
crossref_primary_10_1016_j_knosys_2024_111412
crossref_primary_10_1038_s41598_025_85755_z
crossref_primary_10_1007_s11831_025_10240_9
crossref_primary_10_3390_geomatics2010005
Cites_doi 10.1155/2014/943403
10.14429/dsj.66.9583
10.1016/j.cor.2011.09.026
10.2528/PIERB16031508
10.1007/s00521-013-1367-1
10.1016/0305-0548(86)90048-1
10.1007/978-3-319-01766-2_5
10.1016/j.procs.2015.03.126
10.1016/j.jcp.2007.06.008
10.2528/PIERB09011308
10.2528/PIERB09033101
10.1038/443281a
10.1007/978-3-540-87700-4_65
10.1155/2016/1205970
ContentType Journal Article
Copyright The Author(s) 2017
Copyright Nature Publishing Group Apr 2017
Copyright © 2017, The Author(s) 2017 The Author(s)
Copyright_xml – notice: The Author(s) 2017
– notice: Copyright Nature Publishing Group Apr 2017
– notice: Copyright © 2017, The Author(s) 2017 The Author(s)
DBID C6C
AAYXX
CITATION
NPM
3V.
7X7
7XB
88A
88E
88I
8FE
8FH
8FI
8FJ
8FK
ABUWG
AEUYN
AFKRA
AZQEC
BBNVY
BENPR
BHPHI
CCPQU
DWQXO
FYUFA
GHDGH
GNUQQ
HCIFZ
K9.
LK8
M0S
M1P
M2P
M7P
PHGZM
PHGZT
PIMPY
PJZUB
PKEHL
PPXIY
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
Q9U
7X8
5PM
DOI 10.1038/srep46521
DatabaseName Springer Nature OA/Free Journals
CrossRef
PubMed
ProQuest Central (Corporate)
Health & Medical Collection
ProQuest Central (purchase pre-March 2016)
Biology Database (Alumni Edition)
Medical Database (Alumni Edition)
Science Database (Alumni Edition)
ProQuest SciTech Collection
ProQuest Natural Science Collection
Hospital Premium Collection
Hospital Premium Collection (Alumni Edition)
ProQuest Central (Alumni) (purchase pre-March 2016)
ProQuest Central (Alumni Edition)
ProQuest One Sustainability
ProQuest Central UK/Ireland
ProQuest Central Essentials
Biological Science Collection
ProQuest Central
Natural Science Collection
ProQuest One Community College
ProQuest Central Korea
Health Research Premium Collection
Health Research Premium Collection (Alumni)
ProQuest Central Student
SciTech Premium Collection
ProQuest Health & Medical Complete (Alumni)
ProQuest Biological Science Collection
Health & Medical Collection (Alumni Edition)
Medical Database
Science Database
Biological Science Database
ProQuest Central Premium
ProQuest One Academic (New)
ProQuest Publicly Available Content Database
ProQuest Health & Medical Research Collection
ProQuest One Academic Middle East (New)
ProQuest One Health & Nursing
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
ProQuest Central Basic
MEDLINE - Academic
PubMed Central (Full Participant titles)
DatabaseTitle CrossRef
PubMed
Publicly Available Content Database
ProQuest Central Student
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest Health & Medical Complete (Alumni)
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest One Health & Nursing
ProQuest Natural Science Collection
ProQuest Central China
ProQuest Biology Journals (Alumni Edition)
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest One Sustainability
ProQuest Health & Medical Research Collection
Health Research Premium Collection
Health and Medicine Complete (Alumni Edition)
Natural Science Collection
ProQuest Central Korea
Health & Medical Research Collection
Biological Science Collection
ProQuest Central (New)
ProQuest Medical Library (Alumni)
ProQuest Science Journals (Alumni Edition)
ProQuest Biological Science Collection
ProQuest Central Basic
ProQuest Science Journals
ProQuest One Academic Eastern Edition
ProQuest Hospital Collection
Health Research Premium Collection (Alumni)
Biological Science Database
ProQuest SciTech Collection
ProQuest Hospital Collection (Alumni)
ProQuest Health & Medical Complete
ProQuest Medical Library
ProQuest One Academic UKI Edition
ProQuest One Academic
ProQuest One Academic (New)
ProQuest Central (Alumni)
MEDLINE - Academic
DatabaseTitleList
Publicly Available Content Database
CrossRef
MEDLINE - Academic
PubMed

Database_xml – sequence: 1
  dbid: NPM
  name: PubMed
  url: http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed
  sourceTypes: Index Database
– sequence: 2
  dbid: PIMPY
  name: ProQuest - Publicly Available Content Database
  url: http://search.proquest.com/publiccontent
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Biology
EISSN 2045-2322
ExternalDocumentID PMC5397836
28425443
10_1038_srep46521
Genre Journal Article
GroupedDBID 0R~
3V.
4.4
53G
5VS
7X7
88A
88E
88I
8FE
8FH
8FI
8FJ
AAFWJ
AAJSJ
AAKDD
ABDBF
ABUWG
ACGFS
ACSMW
ACUHS
ADBBV
ADRAZ
AENEX
AEUYN
AFKRA
AJTQC
ALIPV
ALMA_UNASSIGNED_HOLDINGS
AOIJS
AZQEC
BAWUL
BBNVY
BCNDV
BENPR
BHPHI
BPHCQ
BVXVI
C6C
CCPQU
DIK
DWQXO
EBD
EBLON
EBS
EJD
ESX
FYUFA
GNUQQ
GROUPED_DOAJ
GX1
HCIFZ
HH5
HMCUK
HYE
KQ8
LK8
M0L
M1P
M2P
M48
M7P
M~E
NAO
OK1
PIMPY
PQQKQ
PROAC
PSQYO
RNT
RNTTT
RPM
SNYQT
UKHRP
AASML
AAYXX
AFFHD
AFPKN
CITATION
PHGZM
PHGZT
PJZUB
PPXIY
PQGLB
NPM
7XB
8FK
K9.
PKEHL
PQEST
PQUKI
PRINS
Q9U
7X8
PUEGO
5PM
ID FETCH-LOGICAL-c438t-3419f077b3ad4e90530143bcdd4b39d2c38c9b8f429616e57d3596b3206867c33
IEDL.DBID M2P
ISICitedReferencesCount 13
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000399746300001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2045-2322
IngestDate Tue Nov 04 01:58:02 EST 2025
Fri Sep 05 08:21:38 EDT 2025
Tue Oct 07 07:19:49 EDT 2025
Mon Jul 21 05:45:08 EDT 2025
Sat Nov 29 02:48:47 EST 2025
Tue Nov 18 22:14:50 EST 2025
Fri Feb 21 02:38:55 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c438t-3419f077b3ad4e90530143bcdd4b39d2c38c9b8f429616e57d3596b3206867c33
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
OpenAccessLink https://www.proquest.com/docview/1903485882?pq-origsite=%requestingapplication%
PMID 28425443
PQID 1903485882
PQPubID 2041939
ParticipantIDs pubmedcentral_primary_oai_pubmedcentral_nih_gov_5397836
proquest_miscellaneous_1891089322
proquest_journals_1903485882
pubmed_primary_28425443
crossref_primary_10_1038_srep46521
crossref_citationtrail_10_1038_srep46521
springer_journals_10_1038_srep46521
PublicationCentury 2000
PublicationDate 2017-04-20
PublicationDateYYYYMMDD 2017-04-20
PublicationDate_xml – month: 04
  year: 2017
  text: 2017-04-20
  day: 20
PublicationDecade 2010
PublicationPlace London
PublicationPlace_xml – name: London
– name: England
PublicationTitle Scientific reports
PublicationTitleAbbrev Sci Rep
PublicationTitleAlternate Sci Rep
PublicationYear 2017
Publisher Nature Publishing Group UK
Nature Publishing Group
Publisher_xml – name: Nature Publishing Group UK
– name: Nature Publishing Group
References Abdul Rani, Abd Malek, Neoh, Abd Wahab (CR26) 2014; 3
Abdul Rani, Abd Malek, Neoh (CR24) 2012; 21
Glover (CR9) 1986; 13
Zitzler, Laumanns, Bleuler, Gandibleux, Sevaux, Sörensen, T’kindt (CR28) 2004; 535
Ouyang (CR30) 2015; 29
Shlesinger (CR20) 2006; 443
Khodier, Al-Aqeel (CR16) 2009; 15
CR13
CR10
Ong (CR23) 2014; 2014
CR31
Vesa (CR4) 2010; 55
Valian (CR21) 2011; 2
Zhang, Wong, Zhu (CR12) 2014; 277
Yang, Deb (CR17) 2014; 24
Panduro (CR11) 2009; 13
CR2
Hamdi (CR14) 2016; 67
Pavlyukevich (CR19) 2007; 226
Kamat, Karegowda (CR22) 2014; 2
Guney, Durmus (CR1) 2016; 66
CR3
CR6
CR5
CR8
CR7
CR29
CR27
Bera (CR15) 2015; 45
Yang, Deb (CR25) 2013; 40
Yang, Deb (CR18) 2010; 1
BFsrep46521_CR5
BFsrep46521_CR3
A Vesa (BFsrep46521_CR4) 2010; 55
BFsrep46521_CR2
S Kamat (BFsrep46521_CR22) 2014; 2
BFsrep46521_CR8
BFsrep46521_CR7
BFsrep46521_CR6
Z Zhang (BFsrep46521_CR12) 2014; 277
E Valian (BFsrep46521_CR21) 2011; 2
A Ouyang (BFsrep46521_CR30) 2015; 29
BFsrep46521_CR27
BFsrep46521_CR29
MA Panduro (BFsrep46521_CR11) 2009; 13
F Glover (BFsrep46521_CR9) 1986; 13
KN Abdul Rani (BFsrep46521_CR24) 2012; 21
R Bera (BFsrep46521_CR15) 2015; 45
E Zitzler (BFsrep46521_CR28) 2004; 535
K Guney (BFsrep46521_CR1) 2016; 66
BFsrep46521_CR10
BFsrep46521_CR31
BFsrep46521_CR13
P Ong (BFsrep46521_CR23) 2014; 2014
XS Yang (BFsrep46521_CR17) 2014; 24
I Pavlyukevich (BFsrep46521_CR19) 2007; 226
MF Shlesinger (BFsrep46521_CR20) 2006; 443
KN Abdul Rani (BFsrep46521_CR26) 2014; 3
B Hamdi (BFsrep46521_CR14) 2016; 67
MM Khodier (BFsrep46521_CR16) 2009; 15
XS Yang (BFsrep46521_CR18) 2010; 1
XS Yang (BFsrep46521_CR25) 2013; 40
References_xml – volume: 2014
  start-page: 1
  year: 2014
  end-page: 8
  ident: CR23
  article-title: Adaptive Cuckoo Search Algorithm for Unconstrained Optimization
  publication-title: The Sci. World J
  doi: 10.1155/2014/943403
– volume: 55
  start-page: 13
  year: 2010
  end-page: 16
  ident: CR4
  article-title: The Radiation Pattern for Uniform Array Antennas
  publication-title: Trans. on Elect. & Comm
– volume: 2
  start-page: 36
  year: 2011
  end-page: 43
  ident: CR21
  article-title: Improved Cuckoo Search Algorithm for Feedforward Neural Network Training
  publication-title: Int. J. of Art. Intel. & Applic
– ident: CR2
– volume: 66
  start-page: 272
  year: 2016
  end-page: 277
  ident: CR1
  article-title: Elliptical Antenna Array Synthesis using Backtracking Search Optimisation Algorithm
  publication-title: Defense Sc. J.
  doi: 10.14429/dsj.66.9583
– ident: CR10
– volume: 1
  start-page: 330
  year: 2010
  end-page: 343
  ident: CR18
  article-title: Engineering Optimization by Cuckoo Search
  publication-title: Int. J. of Math. Model. & Num. Optim
– ident: CR6
– ident: CR29
– volume: 40
  start-page: 1616
  year: 2013
  end-page: 1624
  ident: CR25
  article-title: Multiobjective Cuckoo Search for Design Optimization
  publication-title: Comp. & Op. Res
  doi: 10.1016/j.cor.2011.09.026
– ident: CR8
– volume: 67
  start-page: 91
  year: 2016
  end-page: 106
  ident: CR14
  article-title: Uniform and Concentric Circular Antenna Arrays Synthesis for Smart Antenna Systems using Artificial Neural Network Algorithm
  publication-title: Prog. in Elect. Res. B
  doi: 10.2528/PIERB16031508
– volume: 24
  start-page: 169
  year: 2014
  end-page: 174
  ident: CR17
  article-title: Cuckoo Search: Recent Advances and Applications
  publication-title: Neural Comp. & App
  doi: 10.1007/s00521-013-1367-1
– ident: CR27
– volume: 13
  start-page: 533
  year: 1986
  end-page: 549
  ident: CR9
  article-title: Future Paths for Integer Programming and Links to Artificial Intelligence
  publication-title: Comp. and Op. Res.
  doi: 10.1016/0305-0548(86)90048-1
– volume: 277
  start-page: 39
  year: 2014
  end-page: 46
  ident: CR12
  article-title: Synthesis of Linear Antenna Array using Genetic Algorithm to Control Side Lobe Level
  publication-title: Comp. Eng. & Net., ser. Lect. Notes in Elect. Eng.
  doi: 10.1007/978-3-319-01766-2_5
– volume: 3
  start-page: 6774
  year: 2014
  end-page: 6781
  ident: CR26
  article-title: Modified and Hybrid Cuckoo Search Algorithms via Weighted−Sum Multiobjective Optimization for Symmetric Linear Array Geometry Synthesis
  publication-title: Int. J. of Adv. Res. in Comp. & Comm. Eng.
– volume: 45
  start-page: 651
  year: 2015
  end-page: 660
  ident: CR15
  article-title: Comparative Study of Circular and Hexagonal Antenna Array Synthesis using Improved Particle Swarm Optimization
  publication-title: Procedia Comp. Sc. (ScienceDirect)
  doi: 10.1016/j.procs.2015.03.126
– ident: CR3
– volume: 226
  start-page: 1830
  year: 2007
  end-page: 1844
  ident: CR19
  article-title: Lévy Flights, Non−local Search and Simulated Annealing
  publication-title: J. Comp. Physics
  doi: 10.1016/j.jcp.2007.06.008
– volume: 29
  start-page: 1
  year: 2015
  end-page: 24
  ident: CR30
  article-title: A Novel Hybrid Multi−Objective Population Migration Algorithm
  publication-title: Int. J. of Ptn. Recog. and Art. Intel.
– ident: CR31
– ident: CR13
– volume: 13
  start-page: 171
  year: 2009
  end-page: 186
  ident: CR11
  article-title: A Comparison of Genetic Algorithms, Particle Swarm Optimization and the Differential Evolution Method for the Design of Scannable Circular Antenna Arrays
  publication-title: Prog. in Elect. Res. B
  doi: 10.2528/PIERB09011308
– volume: 535
  start-page: 3
  year: 2004
  end-page: 37
  ident: CR28
  article-title: A Tutorial on Evolutionary Multiobjective Optimization
  publication-title: Metaheuristics for Multiobj. Optim. Lect. Notes in Econ. and Math. Sys.
– volume: 15
  start-page: 347
  year: 2009
  end-page: 373
  ident: CR16
  article-title: Linear and Circular Array Optimization: A Study using Particle Swarm Intelligence
  publication-title: Prog. in Elect. Res. B
  doi: 10.2528/PIERB09033101
– ident: CR5
– ident: CR7
– volume: 2
  start-page: 7
  year: 2014
  end-page: 14
  ident: CR22
  article-title: A Brief Survey on Cuckoo Search Applications
  publication-title: Int. J. of Innov. Res. in Comp. & Comm. Eng
– volume: 21
  start-page: 865
  year: 2012
  end-page: 874
  ident: CR24
  article-title: Nature−Inspired Cuckoo Search Algorithm for Side Lobe Suppression in a Symmetric Linear Antenna Array
  publication-title: Radioengineering
– volume: 443
  start-page: 281
  year: 2006
  end-page: 282
  ident: CR20
  article-title: Search Research
  publication-title: Nature
  doi: 10.1038/443281a
– ident: BFsrep46521_CR6
– volume: 13
  start-page: 533
  year: 1986
  ident: BFsrep46521_CR9
  publication-title: Comp. and Op. Res.
  doi: 10.1016/0305-0548(86)90048-1
– ident: BFsrep46521_CR29
  doi: 10.1007/978-3-540-87700-4_65
– ident: BFsrep46521_CR2
– ident: BFsrep46521_CR8
– ident: BFsrep46521_CR13
  doi: 10.1155/2016/1205970
– ident: BFsrep46521_CR31
– volume: 55
  start-page: 13
  year: 2010
  ident: BFsrep46521_CR4
  publication-title: Trans. on Elect. & Comm
– ident: BFsrep46521_CR10
– volume: 2
  start-page: 36
  year: 2011
  ident: BFsrep46521_CR21
  publication-title: Int. J. of Art. Intel. & Applic
– volume: 277
  start-page: 39
  year: 2014
  ident: BFsrep46521_CR12
  publication-title: Comp. Eng. & Net., ser. Lect. Notes in Elect. Eng.
  doi: 10.1007/978-3-319-01766-2_5
– volume: 45
  start-page: 651
  year: 2015
  ident: BFsrep46521_CR15
  publication-title: Procedia Comp. Sc. (ScienceDirect)
  doi: 10.1016/j.procs.2015.03.126
– volume: 15
  start-page: 347
  year: 2009
  ident: BFsrep46521_CR16
  publication-title: Prog. in Elect. Res. B
  doi: 10.2528/PIERB09033101
– volume: 2014
  start-page: 1
  year: 2014
  ident: BFsrep46521_CR23
  publication-title: The Sci. World J
  doi: 10.1155/2014/943403
– volume: 535
  start-page: 3
  year: 2004
  ident: BFsrep46521_CR28
  publication-title: Metaheuristics for Multiobj. Optim. Lect. Notes in Econ. and Math. Sys.
– ident: BFsrep46521_CR7
– volume: 67
  start-page: 91
  year: 2016
  ident: BFsrep46521_CR14
  publication-title: Prog. in Elect. Res. B
  doi: 10.2528/PIERB16031508
– volume: 3
  start-page: 6774
  year: 2014
  ident: BFsrep46521_CR26
  publication-title: Int. J. of Adv. Res. in Comp. & Comm. Eng.
– volume: 66
  start-page: 272
  year: 2016
  ident: BFsrep46521_CR1
  publication-title: Defense Sc. J.
  doi: 10.14429/dsj.66.9583
– ident: BFsrep46521_CR3
– volume: 2
  start-page: 7
  year: 2014
  ident: BFsrep46521_CR22
  publication-title: Int. J. of Innov. Res. in Comp. & Comm. Eng
– volume: 443
  start-page: 281
  year: 2006
  ident: BFsrep46521_CR20
  publication-title: Nature
  doi: 10.1038/443281a
– ident: BFsrep46521_CR5
– volume: 40
  start-page: 1616
  year: 2013
  ident: BFsrep46521_CR25
  publication-title: Comp. & Op. Res
  doi: 10.1016/j.cor.2011.09.026
– volume: 1
  start-page: 330
  year: 2010
  ident: BFsrep46521_CR18
  publication-title: Int. J. of Math. Model. & Num. Optim
– volume: 13
  start-page: 171
  year: 2009
  ident: BFsrep46521_CR11
  publication-title: Prog. in Elect. Res. B
  doi: 10.2528/PIERB09011308
– volume: 226
  start-page: 1830
  year: 2007
  ident: BFsrep46521_CR19
  publication-title: J. Comp. Physics
  doi: 10.1016/j.jcp.2007.06.008
– volume: 29
  start-page: 1
  year: 2015
  ident: BFsrep46521_CR30
  publication-title: Int. J. of Ptn. Recog. and Art. Intel.
– volume: 21
  start-page: 865
  year: 2012
  ident: BFsrep46521_CR24
  publication-title: Radioengineering
– ident: BFsrep46521_CR27
– volume: 24
  start-page: 169
  year: 2014
  ident: BFsrep46521_CR17
  publication-title: Neural Comp. & App
  doi: 10.1007/s00521-013-1367-1
SSID ssj0000529419
Score 2.2610028
Snippet This research proposes the various versions of modified cuckoo search (MCS) metaheuristic algorithm deploying the strength Pareto evolutionary algorithm (SPEA)...
SourceID pubmedcentral
proquest
pubmed
crossref
springer
SourceType Open Access Repository
Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 46521
SubjectTerms 639/166/987
639/705/1042
Algorithms
Climbing
Genetic algorithms
Humanities and Social Sciences
Hybridization
multidisciplinary
Nests
Optimization techniques
Pareto optimum
Science
Title Hybridization of Strength Pareto Multiobjective Optimization with Modified Cuckoo Search Algorithm for Rectangular Array
URI https://link.springer.com/article/10.1038/srep46521
https://www.ncbi.nlm.nih.gov/pubmed/28425443
https://www.proquest.com/docview/1903485882
https://www.proquest.com/docview/1891089322
https://pubmed.ncbi.nlm.nih.gov/PMC5397836
Volume 7
WOSCitedRecordID wos000399746300001&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: PRVAON
  databaseName: DOAJ Directory of Open Access Journals
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: DOA
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.doaj.org/
  providerName: Directory of Open Access Journals
– providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: M~E
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
– providerCode: PRVPQU
  databaseName: Biological Science Database
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: M7P
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/biologicalscijournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Health & Medical Collection
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: 7X7
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/healthcomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest - Publicly Available Content Database
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: PIMPY
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/publiccontent
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: BENPR
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database
  customDbUrl:
  eissn: 2045-2322
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000529419
  issn: 2045-2322
  databaseCode: M2P
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Lb9NAEB7RBiQuvKFuS7Q8Dlysxrtre32qStWqSCRYCKRwsrIPN6GtHRKnIv-e2fUD0iIuXPayI3nk2Zn5dmZnBuAtTXKuESb4Kgilz5WivsyV8Y1ION7dVGgmronrx3g0EuNxkjYBt2XzrLK1ic5Q61LZGPkBOi7GRYiA8HD-w7dTo2x2tRmhsQU9RDaBfdI1pGkXY7FZLB4kbUMhJg7Q7cx5FNJg0w3dwpa3n0jeyJM693P68H8ZfwQPGuBJjuqT8hjumOIJ3KtHUa6fws-zta3daqoySZkTm68uzqspSe0g3JK4Ut1Sfq8tJPmEtuaqJbfRXDIs9SxHREuOV-qiLEn9kpkcXZ4jO9X0iiA-JghTKxsixQs18rKYrJ_B19OTL8dnfjOVwVecicq3DeDyQRxLNtHcJKjEtkWgVFpzyRJNFRMqkSJHRxcFkQljzcIkkozaYpRYMfYctouyMDtA8PciQNQ5N5rzUErJJWe5MNGASh4Z7sG7VkiZalqW28kZl5lLnTORdfL04HVHOq_7dPyNaL8VUdao6jL7LR8PXnXbqGQ2czIpTLlCGoGoCpEdRZoX9cHovkJtIpNz5kG8cWQ6AtvAe3OnmE1dI--QuSIaD960h-sPtm4yv_tv5vfgPrWIY8DR8O3DdrVYmZdwV11Xs-WiD1vxOHar6EPv_cko_dx34Ye-0xi7xrj20g_D9NsvvawkKA
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEB5VBQQX3g9DgeUlcbGa7K7t9QGhqlClahpyKFJvJvtwE0jtkDhA_hS_kRm_IC3i1gNnj-xd-_PMt_MEeMnjVFqkCb7pBtqXxnBfp8b5TsUSz24mcKOyiWs_GgzU8XE83ICfTS0MpVU2OrFU1DY35CPfRsMlpAqQEL6dffVpahRFV5sRGhUsDtzqOx7ZFm_23-H3fcX53vuj3Z5fTxXwjRSq8KmBWdqJIi1GVroYQUgt7rSxVmoRW26EMrFWKSrqsBu6ILIiiEMtOBVTRIYcoKjyL0nqLEapgnzY-nQoaoZ3bxoYCbWNZm4mw4B3183eOS57PiXzTFy2NHd7N_63F3UTrtfEmu1Uf8It2HDZbbhSjdpc3YEfvRXVptVVpyxPGcXjs5NizIY06DdnZSlyrj9XFoB9QF162oiTt5od5naSImNnu0vzJc9ZlanNdqYnuP1ifMqQ_zOk4QW5gKejOa5lPlrdhY8Xsu17sJnlmXsADD8nEmCbSmelDLTWUkuRKhd2uJahkx68bkCRmLolO00GmSZlaoBQSYsfD563orOqD8nfhLYaSCS1Klokv_HgwbP2MioRigyNMpcvUUYha0TmylHmfgXE9imcArVSCg-iNYi2AtSgfP1KNhmXjcoDURYJefCiAfMfyzq7-If_XvxTuNo7Ouwn_f3BwSO4xolddSQq-S3YLOZL9xgum2_FZDF_Uv6TDD5dNLZ_AfcSdxc
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEB5VKSAuvKGGAstL4mIl2V3b6wNCVUvUqG3wAaRyMt6Hm9DUDokD5K_x65j1C9Iibj1w9sheez_PfDtPgJc0TLlGmuCqviddrhR1ZaqMa0TI8eymPJOUTVwPg9FIHB-H0Qb8bGphbFploxNLRa1zZX3kXTRcjAsPCWE3rdMior3B29lX106QspHWZpxGBZEDs_qOx7fFm-Ee7vUrSgfvPuzuu_WEAVdxJgrXNjNLe0EgWaK5CRGQtt2dVFpzyUJNFRMqlCJFpe33feMFmnmhLxm1hRWBss5QVP-bSMk57cBmNDyKPrUeHhtDw_s37YyY6KLRm3Hfo_11I3iB2V5M0DwXpS2N3-Dm__zZbsGNmnKTneofuQ0bJrsDV6shnKu78GN_ZavW6npUkqfERuqzk2JMIjsCOCdlkXIuv1S2gbxHLXvWiFs_NjnK9SRFLk92l-o0z0mVw012pif4-sX4jODJgCBBL6xzeJrMcS3zZHUPPl7Ka9-HTpZnZgsIbi1SY51yozn3pJRccpYK4_eo5L7hDrxuABKrulm7nRkyjcukASbiFksOPG9FZ1WHkr8JbTfwiGsltYh_Y8OBZ-1lVC82ZpRkJl-ijEA-iZyWosyDCpTtU6gN4XLOHAjW4NoK2Nbl61eyybhsYe6xsnzIgRcNsP9Y1vnFP_z34p_CNYR0fDgcHTyC69TSrh5H7b8NnWK-NI_hivpWTBbzJ_UPSuDzZYP7FzzAgWA
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=Hybridization+of+Strength+Pareto+Multiobjective+Optimization+with+Modified+Cuckoo+Search+Algorithm+for+Rectangular+Array&rft.jtitle=Scientific+reports&rft.au=Abdul+Rani%2C+Khairul+Najmy&rft.au=Abdulmalek%2C+Mohamedfareq&rft.au=A.+Rahim%2C+Hasliza&rft.au=Siew+Chin%2C+Neoh&rft.date=2017-04-20&rft.issn=2045-2322&rft.eissn=2045-2322&rft.volume=7&rft.issue=1&rft_id=info:doi/10.1038%2Fsrep46521&rft.externalDBID=n%2Fa&rft.externalDocID=10_1038_srep46521
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2045-2322&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2045-2322&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2045-2322&client=summon