VARIANCE-BASED HARMONY SEARCH ALGORITHM FOR UNIMODAL AND MULTIMODAL OPTIMIZATION PROBLEMS WITH APPLICATION TO CLUSTERING

This article presents a novel variance-based harmony search algorithm (VHS) for solving optimization problems. VHS incorporates the concepts borrowed from the invasive weed optimization technique to improve the performance of the harmony search algorithm (HS). This eliminates the main problem of con...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Cybernetics and systems Ročník 45; číslo 6; s. 486 - 511
Hlavní autoři: Kumar, Vijay, Chhabra, Jitender Kumar, Kumar, Dinesh
Médium: Journal Article
Jazyk:angličtina
Vydáno: Taylor & Francis Group 18.08.2014
Témata:
ISSN:0196-9722, 1087-6553
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract This article presents a novel variance-based harmony search algorithm (VHS) for solving optimization problems. VHS incorporates the concepts borrowed from the invasive weed optimization technique to improve the performance of the harmony search algorithm (HS). This eliminates the main problem of constant parameter setting in the algorithm proposed recently and named as explorative HS. It uses the variance of a current population as well as presents a solution vector to improvise the harmony memory. In addition, the dynamic pitch adjustment operator is used to avoid solution oscillation. The proposed algorithm is evaluated on 14 standard benchmark functions of various characteristics. The performance of the proposed algorithm is investigated and compared with classical HS, an improved version of HS, the global best HS, self-adaptive HS, explorative HS, and the recently proposed state-of-art gravitational search algorithm. Experimental results reveal that the proposed algorithm outperforms the above-mentioned approaches. The effects of scalability, noise, harmony memory size, and harmony memory consideration rate have also been investigated with the proposed algorithm. The proposed algorithm is then employed for a data clustering problem. Four real-life datasets selected from the UCI machine learning repository have been used. The results indicate that the VHS-based clustering outperforms the existing well-known clustering algorithms.
AbstractList This article presents a novel variance-based harmony search algorithm (VHS) for solving optimization problems. VHS incorporates the concepts borrowed from the invasive weed optimization technique to improve the performance of the harmony search algorithm (HS). This eliminates the main problem of constant parameter setting in the algorithm proposed recently and named as explorative HS. It uses the variance of a current population as well as presents a solution vector to improvise the harmony memory. In addition, the dynamic pitch adjustment operator is used to avoid solution oscillation. The proposed algorithm is evaluated on 14 standard benchmark functions of various characteristics. The performance of the proposed algorithm is investigated and compared with classical HS, an improved version of HS, the global best HS, self-adaptive HS, explorative HS, and the recently proposed state-of-art gravitational search algorithm. Experimental results reveal that the proposed algorithm outperforms the above-mentioned approaches. The effects of scalability, noise, harmony memory size, and harmony memory consideration rate have also been investigated with the proposed algorithm. The proposed algorithm is then employed for a data clustering problem. Four real-life datasets selected from the UCI machine learning repository have been used. The results indicate that the VHS-based clustering outperforms the existing well-known clustering algorithms.
Author Chhabra, Jitender Kumar
Kumar, Dinesh
Kumar, Vijay
Author_xml – sequence: 1
  givenname: Vijay
  surname: Kumar
  fullname: Kumar, Vijay
  email: vijaykumarchahar@gmail.com
  organization: Computer Science and Engineering Department , JCDMCOE
– sequence: 2
  givenname: Jitender Kumar
  surname: Chhabra
  fullname: Chhabra, Jitender Kumar
  organization: Computer Engineering Department , National Institute of Technology
– sequence: 3
  givenname: Dinesh
  surname: Kumar
  fullname: Kumar, Dinesh
  organization: Computer Science and Engineering Department , GJUS&T
BookMark eNqFkM9PgzAcxRszE7fpf-Ch_wCztLBSL6ZjbJAAJcA0eiFdBwlmA1NIdP-9LJsXD3r6_njv8w5vAkZN25QA3JtoZiIHPSCTzRnFeIaRac0YZsRiV2A8aNSY2zYZgfHJYpw8N2DSde8IIUKoOQZfzzwNeOx6xoJn3hL6PI1E_Aozj6euD3m4FmmQ-xFciRRu4iASSx5CHi9htAnzyymSYQveeB6IGCapWIRelMGXgYM8ScLAPSu5gG64yXIvDeL1Lbiu5L4r7y5zCjYrL3d9IxTrAQgNRRDtDbVTNkbzimyRXVbYkkRRe0uZshyFcUUYY5QoZ_hTTCqqELUsae-waW53tHQcMgWP51yl267TZVWoupd93Ta9lvW-MFFx6rD46bA4dVicOxxg6xf8oeuD1Mf_sKczVjdVqw_ys9X7XdHL477VlZaNqruC_JnwDUelgE4
CitedBy_id crossref_primary_10_1016_j_advengsoft_2017_05_014
crossref_primary_10_1016_j_cmpb_2019_105091
crossref_primary_10_3390_s22176420
crossref_primary_10_3390_app10113827
crossref_primary_10_1016_j_eswa_2023_119954
crossref_primary_10_1002_dac_5300
crossref_primary_10_1155_2021_5594267
crossref_primary_10_1016_j_advengsoft_2017_05_008
crossref_primary_10_1016_j_advengsoft_2017_07_002
crossref_primary_10_3233_JIFS_232295
crossref_primary_10_1007_s12652_020_02580_0
crossref_primary_10_1080_0952813X_2017_1421267
Cites_doi 10.1007/s10462-010-9201-y
10.1016/j.ins.2009.03.004
10.1016/j.eswa.2009.09.008
10.3844/ajassp.2005.1552.1557
10.1016/j.ecoinf.2006.07.003
10.1016/j.amc.2007.09.004
10.1007/978-3-642-00185-7_1
10.3233/FI-2009-157
10.1109/TSMCB.2010.2046035
10.1007/s10618-008-0123-0
10.1109/ISMS.2010.31
10.1016/j.amc.2006.11.033
10.2307/3001968
10.1109/4235.771163
10.1177/003754970107600201
10.1145/937503.937505
10.1002/(SICI)1097-4571(199401)45:1<12::AID-ASI2>3.0.CO;2-L
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 2014
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 2014
DBID AAYXX
CITATION
DOI 10.1080/01969722.2014.929349
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Sciences (General)
EISSN 1087-6553
EndPage 511
ExternalDocumentID 10_1080_01969722_2014_929349
929349
GroupedDBID -~X
.7F
.DC
.QJ
0BK
0R~
29F
2DF
30N
4.4
5GY
5VS
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
COF
CS3
DGEBU
DKSSO
DU5
EBS
EJD
E~A
E~B
F5P
FPAXQ
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
M4Z
NA5
NX~
O9-
P2P
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TEN
TFL
TFT
TFW
TN5
TNC
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
~S~
AAYXX
CITATION
ID FETCH-LOGICAL-c307t-cdc5206f3b05ef24a3c75b79c48c22f399973c84a3723f7c0744a5d211bd7e883
IEDL.DBID TFW
ISICitedReferencesCount 20
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000341137100002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0196-9722
IngestDate Sat Nov 29 03:41:23 EST 2025
Tue Nov 18 22:30:07 EST 2025
Mon Oct 20 23:44:52 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c307t-cdc5206f3b05ef24a3c75b79c48c22f399973c84a3723f7c0744a5d211bd7e883
PageCount 26
ParticipantIDs crossref_citationtrail_10_1080_01969722_2014_929349
crossref_primary_10_1080_01969722_2014_929349
informaworld_taylorfrancis_310_1080_01969722_2014_929349
PublicationCentury 2000
PublicationDate 2014-08-18
PublicationDateYYYYMMDD 2014-08-18
PublicationDate_xml – month: 08
  year: 2014
  text: 2014-08-18
  day: 18
PublicationDecade 2010
PublicationTitle Cybernetics and systems
PublicationYear 2014
Publisher Taylor & Francis Group
Publisher_xml – name: Taylor & Francis Group
References CIT0010
CIT0021
CIT0020
CIT0001
CIT0012
CIT0011
CIT0022
Chakraborty P. (CIT0006) 2009; 95
Tang K. (CIT0018)
CIT0014
CIT0013
CIT0005
CIT0016
CIT0004
CIT0015
CIT0007
CIT0009
CIT0008
CIT0019
References_xml – ident: CIT0001
  doi: 10.1007/s10462-010-9201-y
– ident: CIT0015
  doi: 10.1016/j.ins.2009.03.004
– ident: CIT0016
– ident: CIT0019
  doi: 10.1016/j.eswa.2009.09.008
– ident: CIT0009
  doi: 10.3844/ajassp.2005.1552.1557
– ident: CIT0013
  doi: 10.1016/j.ecoinf.2006.07.003
– ident: CIT0014
  doi: 10.1016/j.amc.2007.09.004
– ident: CIT0021
  doi: 10.1007/978-3-642-00185-7_1
– volume: 95
  start-page: 401
  issue: 4
  year: 2009
  ident: CIT0006
  publication-title: Fundamenta Informaticae
  doi: 10.3233/FI-2009-157
– ident: CIT0007
  doi: 10.1109/TSMCB.2010.2046035
– ident: CIT0012
  doi: 10.1007/s10618-008-0123-0
– ident: CIT0010
  doi: 10.1109/ISMS.2010.31
– ident: CIT0011
  doi: 10.1016/j.amc.2006.11.033
– ident: CIT0020
  doi: 10.2307/3001968
– ident: CIT0022
  doi: 10.1109/4235.771163
– ident: CIT0008
  doi: 10.1177/003754970107600201
– ident: CIT0004
  doi: 10.1145/937503.937505
– volume-title: Benchmark Functions for the CEC'2008 Special Session and Competition on Large Scale Global Optimization
  ident: CIT0018
– ident: CIT0005
  doi: 10.1002/(SICI)1097-4571(199401)45:1<12::AID-ASI2>3.0.CO;2-L
SSID ssj0003371
Score 2.1000597
Snippet This article presents a novel variance-based harmony search algorithm (VHS) for solving optimization problems. VHS incorporates the concepts borrowed from the...
SourceID crossref
informaworld
SourceType Enrichment Source
Index Database
Publisher
StartPage 486
SubjectTerms harmony search algorithm
metaheuristics
optimization
Title VARIANCE-BASED HARMONY SEARCH ALGORITHM FOR UNIMODAL AND MULTIMODAL OPTIMIZATION PROBLEMS WITH APPLICATION TO CLUSTERING
URI https://www.tandfonline.com/doi/abs/10.1080/01969722.2014.929349
Volume 45
WOSCitedRecordID wos000341137100002&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: PRVAWR
  databaseName: Taylor and Francis Online Journals
  customDbUrl:
  eissn: 1087-6553
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0003371
  issn: 0196-9722
  databaseCode: TFW
  dateStart: 19800601
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NS8MwFA8yPHhR5wfOL3LwoIdq27RLeuy-3KBdy9a56aU0aQKCTNmq-Oeb9GNsBxX01kBfKe_lfSbv9wC4SsymI4QCH8xLN4gnGiVWoqU65YbBbcqTfGqJh4dDMps54VoXv7pWqXJoUQBF5LZaKXdCl9WNuLsc0gWbqo3KsG6lf0eW6uCTnl9pZtSbrkwxQrgcSNjUFEXVO_fNRzZ80wZy6ZrP6e39_2_3wW4Zb0K32CB1sMXnB6BeavQSXpew0zeH4PPBHQ3UqBqt5Y67Hdh3R9LePsLiQAm63n0wGkR9H8q8Ecq00Q86rgfdYQf6Ey8ql0EonwZPeeELhqOg5XX9MZxKOuiGYdW2DKMAtr3JOMoBrY7ApNeN2n2tnMugMWkRMo2lzDb1pkBUt7kwrQQxbFPsMIsw0xQy5HEwYlLiCJtIYCajFCuxU5lq0hRzQtAxqM1f5_wEQMENwVOHIwVRrKcJtZnglBiCWCnTEW8AVEkkZiVouZqd8RIbFbZpyd5YsTcu2NsA2orqrQDt-OV9si7sOMuLJaKYbBKjn0hP_056BnbUShWoDXIOatninV-AbfaRPS8Xl_lG_gJS5OTM
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NT4MwFG90muhFnR9xfvbgQQ8oUFjLEd3mFmGQjTn1QqC0iYmZxqHxz7eFYraDmhhvEHiEvNe-r773ewCcJGbT4VyCDxapG8QSLSVWomV6ygyD2SlLiqklHu73yd2dE6pqwqkqq5QxNC-BIgpdLTe3TEZXJXEXBaYLNmUflWGdCwOPLGcRLNnC1Er4_Kgz_lLGCGE1krCpSZKqe-6br8xZpzns0hmr01n_h__dAGvK5YRuuUbqYIFNNkFdbeopPFXI02db4OPWHfTktBrt0h22W7DrDoTKvYflmRJ0vetg0Iu6PhShIxSRox-0XA-6_Rb0R16kboNQXPUeitwXDAfBpdf2h3As6KAbhlXnMowCeOWNhlGBabUNRp12dNXV1GgGjQqlkGs0o7apNzlKdZtx00oQxXaKHWoRappceD0ORlQIHWETcUyFo2IldiaizTTDjBC0A2qT5wnbBZAzg7PMYUiiFOtZktqUs5QYnFgZ1RFrAFSJJKYKt1yOz3iKjQreVLE3luyNS_Y2gPZF9VLidvzyPpmVdpwX-RJeDjeJ0U-ke38nPQYr3cj3Yq_Xv9kHq_KJzFcb5ADU8tc3dgiW6Xv-OH09Klb1Jwa86PY
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT4NAEN5oNcaLWh-xPvfgQQ8osNBdjvRlG2khLbXVC4FlNzExtWnR-PPd5dG0BzXRGwSGkJnZee3ONwBchXrV4lyCD6alG8RCJSJGqMRqxDSNmREL06klDu71yHhseUtd_PJYpcyheQYUkdpqubinMS9OxN2lkC5Yl21UmnEr_DsyrHWwISLnqtRxvzVa2GKEcD6RsKpIkqJ57puvrDinFejSJafT2v3_7-6BnTzghHamIWWwxib7oJwv6Tm8znGnbw7A56Pd78hZNUrNHjQbsG33hcF9gtmOErSde7ff8dtdKBJHKPLGrtuwHWj3GrA7dPz81vXEVec5rXxBr-_WnGZ3AEeCDtqeV_QtQ9-FdWc48FNEq0MwbDX9elvJBzMoVJiERKExNXW1ylGkmozrRogoNiNsUYNQXeci5rEwokLkCOuIYyrCFCM0Y5FrRjFmhKAjUJq8TdgxgJxpnMUWQxKjWI3DyKScRUTjxIipilgFoEIiAc1Ry-XwjNdAK8BNc_YGkr1Bxt4KUBZU0wy145f3ybKwgyStlvBstEmAfiI9-TvpJdjyGq3A6fQeTsG2fCCL1Ro5A6Vk9s7OwSb9SF7ms4tUp78ANv3nqA
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=VARIANCE-BASED+HARMONY+SEARCH+ALGORITHM+FOR+UNIMODAL+AND+MULTIMODAL+OPTIMIZATION+PROBLEMS+WITH+APPLICATION+TO+CLUSTERING&rft.jtitle=Cybernetics+and+systems&rft.au=Kumar%2C+Vijay&rft.au=Chhabra%2C+Jitender+Kumar&rft.au=Kumar%2C+Dinesh&rft.date=2014-08-18&rft.pub=Taylor+%26+Francis+Group&rft.issn=0196-9722&rft.eissn=1087-6553&rft.volume=45&rft.issue=6&rft.spage=486&rft.epage=511&rft_id=info:doi/10.1080%2F01969722.2014.929349&rft.externalDocID=929349
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0196-9722&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0196-9722&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0196-9722&client=summon