Integer programming model for Generation Expansion Planning problem under fuzzy environment

The growth of population and increasing consumption of electricity exposes countries to build additional power units. One of the most important issues in the field of power system is the generation expansion planning (GEP) problem. The objective of the GEP problem is to evaluate the least cost inves...

Full description

Saved in:
Bibliographic Details
Published in:International journal of management science and engineering management Vol. 6; no. 5; pp. 323 - 327
Main Authors: Abass, Samir A., Mervat, Zaki S., Abdallah, Asmaa S.
Format: Journal Article
Language:English
Published: Taylor & Francis Group 01.01.2011
Subjects:
fuzzy parameters
Generation Expansion Planning
integer programming
stability
ISSN:1750-9653, 1750-9661
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract The growth of population and increasing consumption of electricity exposes countries to build additional power units. One of the most important issues in the field of power system is the generation expansion planning (GEP) problem. The objective of the GEP problem is to evaluate the least cost investment plan for addition of power generating units over a planning period subject to power demand and energy demand constraints. In this paper an optimization model with fuzzy parameters is used to express GEP problem. In proposed model both of power demand and energy demand are taken as fuzzy parameters. A Qualitative analysis of basic stability notions for the problem of concern is defined. These notations are the set of feasible parameters, the solvability set and the stability set of the first kind. A case study is provided to demonstrate the efficiency of proposed model. A comparison study between our approach and the deterministic one is made.
AbstractList The growth of population and increasing consumption of electricity exposes countries to build additional power units. One of the most important issues in the field of power system is the generation expansion planning (GEP) problem. The objective of the GEP problem is to evaluate the least cost investment plan for addition of power generating units over a planning period subject to power demand and energy demand constraints. In this paper an optimization model with fuzzy parameters is used to express GEP problem. In proposed model both of power demand and energy demand are taken as fuzzy parameters. A Qualitative analysis of basic stability notions for the problem of concern is defined. These notations are the set of feasible parameters, the solvability set and the stability set of the first kind. A case study is provided to demonstrate the efficiency of proposed model. A comparison study between our approach and the deterministic one is made.
Author Abdallah, Asmaa S.
Abass, Samir A.
Mervat, Zaki S.
Author_xml – sequence: 1
  givenname: Samir A.
  surname: Abass
  fullname: Abass, Samir A.
  email: samir.abdou@gmail.com
  organization: Mathematics and Theorrtical physics Department , Atomic Energy Authority
– sequence: 2
  givenname: Zaki S.
  surname: Mervat
  fullname: Mervat, Zaki S.
  organization: Mathematics Department , ElAzhar University (girls)
– sequence: 3
  givenname: Asmaa S.
  surname: Abdallah
  fullname: Abdallah, Asmaa S.
  organization: Mathematics and Theorrtical physics Department , Atomic Energy Authority
BookMark eNqFkNFKwzAUhoNMcM69gvQFOpOeJW3BmzHmHAz0Qq-8CFlzMiJtMtJO7Z7e1jkvvFlu8nNOvp_wXZOB8w4JuWV0wmhG71jKaS44TBLKWDcSKWMZvSDDfhHnQrDBX-ZwRcZ1_U67A0CzhA_J28o1uMUQ7YLfBlVV1m2jymssI-NDtESHQTXWu2jxtVOu7tNzqZzr33XMpsQq2jvdNZj94dBG6D5s8K5C19yQS6PKGse_94i8Pixe5o_x-mm5ms_WcQEMmjg1QguTZIqLAgByTIzgG55qqjSqnOoMEsWEQMELhtMsZagxM9MN8BxSKGBE7o-9RfB1HdDIwjY_n26CsqVkVPau5MmV7F3Jk6sOF__wXbCVCu15cHYEretcVerTh1LLRrWlDyYoV9hawpmObwI7hHQ
CitedBy_id crossref_primary_10_1007_s00477_020_01810_3
crossref_primary_10_1007_s12145_021_00645_y
Cites_doi 10.1002/er.732
10.1109/59.32610
10.1016/j.enconman.2004.09.006
10.21136/AM.1977.103711
10.1016/j.energy.2006.02.010
10.1109/TPAS.1984.318698
10.1287/mnsc.17.4.B141
10.1109/59.207329
10.1109/TPAS.1979.319394
10.1016/0378-4754(93)90062-Y
10.1109/59.486107
10.1109/59.32474
10.2298/NTRP0701067A
10.1016/S0360-5442(98)00069-3
10.1002/(SICI)1099-114X(199702)21:2<185::AID-ER233>3.0.CO;2-Z
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 2011
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 2011
DBID AAYXX
CITATION
DOI 10.1080/17509653.2011.10671180
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Business
EISSN 1750-9661
EndPage 327
ExternalDocumentID 10_1080_17509653_2011_10671180
10671180
GroupedDBID 0BK
30N
4.4
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGFS
ACTIO
ADCVX
ADGTB
AEISY
AEYOC
AFRVT
AGDLA
AHDZW
AIJEM
AIYEW
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
DGEBU
DKSSO
E3Z
EBS
EJD
E~A
E~B
GTTXZ
H13
HZ~
H~P
IPNFZ
KYCEM
M4Z
O9-
P2P
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEN
TFL
TFT
TFW
TTHFI
TUROJ
UT5
ZGOLN
AAYXX
AFION
BWMZZ
CITATION
DAOYK
LJTGL
OPCYK
ID FETCH-LOGICAL-c313t-7f6d6f28a56c3339e2f65b57d0adea90d832a166e65c1e4871ede8f4b359373c3
IEDL.DBID TFW
ISICitedReferencesCount 3
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000214534600001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1750-9653
IngestDate Sat Nov 29 02:59:47 EST 2025
Tue Nov 18 22:27:30 EST 2025
Mon Oct 20 23:35:24 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 5
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c313t-7f6d6f28a56c3339e2f65b57d0adea90d832a166e65c1e4871ede8f4b359373c3
PageCount 5
ParticipantIDs crossref_primary_10_1080_17509653_2011_10671180
crossref_citationtrail_10_1080_17509653_2011_10671180
informaworld_taylorfrancis_310_1080_17509653_2011_10671180
PublicationCentury 2000
PublicationDate 1/1/2011
2011-01-00
PublicationDateYYYYMMDD 2011-01-01
PublicationDate_xml – month: 01
  year: 2011
  text: 1/1/2011
  day: 01
PublicationDecade 2010
PublicationTitle International journal of management science and engineering management
PublicationYear 2011
Publisher Taylor & Francis Group
Publisher_xml – name: Taylor & Francis Group
References Rutz W. (CIT0017) 1979; 98
Abass S. (CIT0001) 2007; 1
CIT0021
CIT0012
CIT0022
Gungor Z. (CIT0005) 1999; 24
Kenfack F. (CIT0006) 2001; 25
Mejia G. (CIT0008) 2010; 77
Ramos A. (CIT0015) 1989; 4
Suleyman H. (CIT0020) 2005; 46
Esogbue A. (CIT0004) 1984; 20
CIT0003
CIT0014
CIT0002
Levin N. (CIT0007) 1984; 103
Osman M. (CIT0011) 1977; 22
CIT0013
CIT0016
Sevilgen S. (CIT0018) 2005; 46
CIT0009
Nilsson O. (CIT0010) 1996; 11
CIT0019
References_xml – ident: CIT0016
– volume: 25
  start-page: 927
  year: 2001
  ident: CIT0006
  publication-title: International Journal of Energy Research
  doi: 10.1002/er.732
– volume: 77
  start-page: 75
  issue: 163
  year: 2010
  ident: CIT0008
  publication-title: Dynamics, University of Colombia, Colombia
– volume: 4
  start-page: 1140
  issue: 3
  year: 1989
  ident: CIT0015
  publication-title: IEEE Transaction on Power Systems
  doi: 10.1109/59.32610
– volume: 46
  start-page: 1780
  year: 2005
  ident: CIT0018
  publication-title: Energy Convers Manage
  doi: 10.1016/j.enconman.2004.09.006
– ident: CIT0013
– ident: CIT0009
– volume: 22
  start-page: 333
  issue: 5
  year: 1977
  ident: CIT0011
  publication-title: Applied Mathmatics
  doi: 10.21136/AM.1977.103711
– ident: CIT0022
  doi: 10.1016/j.energy.2006.02.010
– volume: 46
  start-page: 1780
  year: 2005
  ident: CIT0020
  publication-title: Energy Conversion and Management
  doi: 10.1016/j.enconman.2004.09.006
– volume: 103
  start-page: 954
  issue: 5
  year: 1984
  ident: CIT0007
  publication-title: IEEE Transaction on Power Apparatus and Systems
  doi: 10.1109/TPAS.1984.318698
– ident: CIT0002
  doi: 10.1287/mnsc.17.4.B141
– ident: CIT0003
  doi: 10.1109/59.207329
– volume: 98
  start-page: 2015
  issue: 6
  year: 1979
  ident: CIT0017
  publication-title: IEEE Transaction on Power Apparatus and Systems
  doi: 10.1109/TPAS.1979.319394
– ident: CIT0012
  doi: 10.1016/0378-4754(93)90062-Y
– volume: 11
  start-page: 281
  issue: 1
  year: 1996
  ident: CIT0010
  publication-title: IEEE Transaction on Power Systems
  doi: 10.1109/59.486107
– ident: CIT0021
  doi: 10.1109/59.32474
– volume: 20
  start-page: 147
  year: 1984
  ident: CIT0004
  publication-title: TIMS/Studies Management Science
– ident: CIT0019
– volume: 1
  start-page: 67
  year: 2007
  ident: CIT0001
  publication-title: Nuclear Technology & Radiation Protection
  doi: 10.2298/NTRP0701067A
– volume: 24
  start-page: 31
  year: 1999
  ident: CIT0005
  publication-title: Energy
  doi: 10.1016/S0360-5442(98)00069-3
– ident: CIT0014
  doi: 10.1002/(SICI)1099-114X(199702)21:2<185::AID-ER233>3.0.CO;2-Z
SSID ssj0000330825
ssib054931692
Score 1.7742476
Snippet The growth of population and increasing consumption of electricity exposes countries to build additional power units. One of the most important issues in the...
SourceID crossref
informaworld
SourceType Enrichment Source
Index Database
Publisher
StartPage 323
SubjectTerms fuzzy parameters
Generation Expansion Planning
integer programming
stability
Title Integer programming model for Generation Expansion Planning problem under fuzzy environment
URI https://www.tandfonline.com/doi/abs/10.1080/17509653.2011.10671180
Volume 6
WOSCitedRecordID wos000214534600001&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 & Francis
  customDbUrl:
  eissn: 1750-9661
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000330825
  issn: 1750-9653
  databaseCode: TFW
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELZQhRALb0R5yQNr1CR-pGZDqBUD6lSgEkNkOzZCgoLSFEF_PT4nRukADCBlzDnJ-XxnX-6-D6GzzNlszIXzflbZiErKIiVsHNlUKEWI2wF4zsjb62w06k8mot0LA2WVcIa2NVCE99WwuKWahYq4XpJ5zBJSA3ACBhrgmDk37GI_rM3x8C6YlDv9uOc1Pw69cyaAz8J8mySLIxgm9A1_O_JSyFoCNG2FouHmf3zEFtpoNqL4oracbbRipjtoLdTB76J7yBU-mBI3FVzPLsZhz5uD3ZvhGq4aZhUP3p1HgaQbDgxIuKGpwdChVmI7Xyw-cKulbg_dDAfjy6uoYWKINElIFWWWF9ymfcm4JoQIk1rOFMuKWBZGirhwfkEmnBvOdGLcGSgxhelbqghz2x-iyT7qTF-m5gDhzCihCzcEpe5GLQRlxMagEqqVpGkXsaDsXDcw5cCW8ZQnDZpp0FwOmsuD5rqo9yX3WgN1_Cpx3p7LvPIpElvzmeTkZ-HDvwgfofU6NQ3XMepU5dycoFX9Vj3OylNvwJ98o-hp
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LT8MwDLbGQMCFN2I8c-Ba0TZJu3BD06YhxsRhwCQOVZsmCAkGKh2C_XritkHbATiA1GOdto5rJ479fQDHobFZNxDG--lEOyxm3EmEdh3tiySh1KwACs7Im17Y7zeHQ3FVg5bthcGyStxD6xIoovDV-HNjMtqWxJ14YQFaQksETgRBQyCzOZjnJtgigP6gc2uNyux_zBOro8PCPVNEaOFFoyR3HRzHdg5_O_RM0JqBNJ0KRp3Vf_mMNVip1qLkrDSedaip0QYs2lL4TbjDdOG9ykhVxPVkwhwpqHOIeTVSIlbjxJL2u3EqmHcjlgSJVEw1BJvUMqLHk8kHmeqq24LrTnvQ6joVGYMjqUdzJ9RBGmi_GfNAUkqF8nXAEx6mbpyqWLipcQ2xFwQq4NJTZhvkqVQ1NUsoTgqVdBvqo-eR2gESqkTI1AzBmLlRCsE41S6qhMkkZn4DuNV2JCukciTMeIy8CtDUai5CzUVWcw04-ZJ7KbE6fpU4nZ7MKC-yJLqkNInoz8K7fxE-gqXu4LIX9c77F3uwXGaq8dqHep6N1QEsyLf84TU7LKz5E0wZ7JM
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwED5BQYiFN6I8PbBGTepHajYEjUBUFUOBSgxR7NgICUoVUgT99dhJjNIBGEDKmHOS8-V8Pt99H8BxaGzWZ9x4Py20RxJCPcG17-k2FwJjEwEUnJG3vbDf7wyHvN4LY8sq7R5al0ARha-2P_c41a4irhWEBWYJLgE4LQaaxTGbhwUTOzNr5YPoztmU2f6YB1Ynh4V3xhaghRZ9ktT37DiucfjboWfWrBlE09paFK3-x1eswUoViaLT0nTWYU6NNmDJFcJvwr1NFj6oDFUlXM9mkUMFcQ4yb4ZKvGo7raj7blyKzbohR4GEKp4aZFvUMqQn0-kHqvXUbcFN1B2cXXgVFYMncYBzL9QsZbrdSSiTGGOu2ppRQcPUT1KVcD81jiEJGFOMykCZTVCgUtXRRGBq4h8s8TY0Ri8jtQMoVILL1AxBiLlRck4o1r5VCZEiIe0mUKfsWFY45ZYu4ykOKjhTp7nYai52mmtC60tuXCJ1_CpxUp_LOC9yJLokNInxz8K7fxE-gqXr8yjuXfav9mC5TFPbax8aeTZRB7Ao3_LH1-ywsOVPhgnrRQ
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=Integer+programming+model+for+Generation+Expansion+Planning+problem+under+fuzzy+environment&rft.jtitle=International+journal+of+management+science+and+engineering+management&rft.au=Abass%2C+Samir+A.&rft.au=Mervat%2C+Zaki+S.&rft.au=Abdallah%2C+Asmaa+S.&rft.date=2011-01-01&rft.issn=1750-9653&rft.eissn=1750-9661&rft.volume=6&rft.issue=5&rft.spage=323&rft.epage=327&rft_id=info:doi/10.1080%2F17509653.2011.10671180&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_17509653_2011_10671180
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1750-9653&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1750-9653&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1750-9653&client=summon