Solution of a bi-level linear programming problem with uncertain parameters and its application

In this paper, a bi-level linear programming problem characterized by interval uncertainty in the coefficients of both objectives and constraints is thoroughly examined. The Karush-Kuhn-Tucker (KKT) optimality conditions for interval nonlinear programming problems have been developed to address this...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Operations research and decisions Ročník 35; číslo 2; s. 1 - 22
Hlavní autoři: Kumar Bhurjee, Ajay, Kumar, Pankaj, Kumar, Pavan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Wrocław University of Science and Technology 2025
ISSN:2081-8858, 2391-6060
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract In this paper, a bi-level linear programming problem characterized by interval uncertainty in the coefficients of both objectives and constraints is thoroughly examined. The Karush-Kuhn-Tucker (KKT) optimality conditions for interval nonlinear programming problems have been developed to address this challenge. Utilizing these conditions, the interval bi-level programming problem has been transformed into a deterministic nonlinear programming problem. Subsequently, a comprehensive methodology has been developed to solve the transformed problem. The proposed approach has been validated through numerous illustrative examples that demonstrate its successful execution. Furthermore, the developed methodology has been effectively applied to a practical problem in supply chain planning, showcasing its relevance and applicability in real-world scenarios. (original abstract)
AbstractList In this paper, a bi-level linear programming problem characterized by interval uncertainty in the coefficients of both objectives and constraints is thoroughly examined. The Karush-Kuhn-Tucker (KKT) optimality conditions for interval nonlinear programming problems have been developed to address this challenge. Utilizing these conditions, the interval bi-level programming problem has been transformed into a deterministic nonlinear programming problem. Subsequently, a comprehensive methodology has been developed to solve the transformed problem. The proposed approach has been validated through numerous illustrative examples that demonstrate its successful execution. Furthermore, the developed methodology has been effectively applied to a practical problem in supply chain planning, showcasing its relevance and applicability in real-world scenarios. (original abstract)
Author Kumar Bhurjee, Ajay
Kumar, Pankaj
Kumar, Pavan
Author_xml – sequence: 1
  givenname: Ajay
  surname: Kumar Bhurjee
  fullname: Kumar Bhurjee, Ajay
– sequence: 2
  givenname: Pankaj
  surname: Kumar
  fullname: Kumar, Pankaj
– sequence: 3
  givenname: Pavan
  surname: Kumar
  fullname: Kumar, Pavan
BookMark eNo9kE1LAzEYhINUsNZe_AU5C6v52k1ylOJHoeBBPS_vJm9qZLtZslvFf-_WSk8zDMPDMJdk1qUOCbnm7FZqbtldyl6UTDB-RuZCWl5UrGKzyTPDC2NKc0GWwxAbJiqrecn4nNSvqd2PMXU0BQq0iUWLX9jSNnYImfY5bTPsdrHbHnzT4o5-x_GD7juHeYTY0R6mAo6YBwqdp3GctO_b6OCAvSLnAdoBl_-6IO-PD2-r52Lz8rRe3W8KJ6waixBM5ZX1Uko0jqHSGrUtxTQzVAYRg7DCh1Io70yDAphRAbxWjbKSeSEXZH3k-gSfdZ_jDvJPnSDWf0HK2xryGF2LNRNNCVIqzblU4KWpmsYxIzVTwXIwE-vmyHI5DUPGcOJxVv89XZ-elr-Th3OV
ContentType Journal Article
DBID AAYXX
CITATION
DOA
DOI 10.37190/ord250201
DatabaseName CrossRef
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
DatabaseTitleList
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2391-6060
EndPage 22
ExternalDocumentID oai_doaj_org_article_02b5a33471134ad386bbc083704f91a8
10_37190_ord250201
GroupedDBID AAYXX
ADBBV
ADMLS
AHQJS
AKVCP
ALMA_UNASSIGNED_HOLDINGS
BCNDV
CITATION
EBO
EBU
EOJEC
GROUPED_DOAJ
KQ8
OBODZ
RNS
TH9
Y2W
~8M
ID FETCH-LOGICAL-c294t-ff86d49d333e8c0e477e7952971f68eeef292df524dc8be2a084fad74b4930d23
IEDL.DBID DOA
ISICitedReferencesCount 0
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001499273100001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2081-8858
IngestDate Fri Oct 03 12:47:21 EDT 2025
Sat Nov 29 06:11:57 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c294t-ff86d49d333e8c0e477e7952971f68eeef292df524dc8be2a084fad74b4930d23
OpenAccessLink https://doaj.org/article/02b5a33471134ad386bbc083704f91a8
PageCount 22
ParticipantIDs doaj_primary_oai_doaj_org_article_02b5a33471134ad386bbc083704f91a8
crossref_primary_10_37190_ord250201
PublicationCentury 2000
PublicationDate 2025-00-00
2025-01-01
PublicationDateYYYYMMDD 2025-01-01
PublicationDate_xml – year: 2025
  text: 2025-00-00
PublicationDecade 2020
PublicationTitle Operations research and decisions
PublicationYear 2025
Publisher Wrocław University of Science and Technology
Publisher_xml – name: Wrocław University of Science and Technology
SSID ssib026971501
ssj0001141500
Score 2.2787564
Snippet In this paper, a bi-level linear programming problem characterized by interval uncertainty in the coefficients of both objectives and constraints is thoroughly...
SourceID doaj
crossref
SourceType Open Website
Index Database
StartPage 1
Title Solution of a bi-level linear programming problem with uncertain parameters and its application
URI https://doaj.org/article/02b5a33471134ad386bbc083704f91a8
Volume 35
WOSCitedRecordID wos001499273100001&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: 2391-6060
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0001141500
  issn: 2081-8858
  databaseCode: DOA
  dateStart: 20100101
  isFulltext: true
  titleUrlDefault: https://www.doaj.org/
  providerName: Directory of Open Access Journals
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07a8MwEBYldGiH0idNXwjaVcSWZEs3JqWhQxsyNJDNyHpAhjolSfv7e5Lz2rp0M8YY892hT3c-fR8hTy44XHnzmpnSGyZ9AFZ7MMzIGjxY46SRyWxCjUZ6OoXxntVXnAlr5YFb4HoZrwsjBK6huZDGCV3Wtc2iZIsMkJt0zDdTsFdMYSbxEhTudPJdtyVHokrnUThyINO60K1WqVDIiD2s83ArwNfOMBt22hPxT2wzPCUn620i7befd0YOfHNOjt-3GqvLC1JtOlp0Hqihgxl7iwNAFKtLzF46bgevPpGa4nV0jaGx6UonGOY0BkDHJk5mRXlNahpHZ6sl7e_-Z1-SyfDl4_mVre0SmOUgVywEXToJTgjhtc28VMorKDhCEUrtvQ8cuAsFl87q2nOTaRmMU7KWIDLHxRXpNPPGXxOKNYmEoJV1ykgRBFiQKmCtaE3wmYAuedzAVH21qhgVVhMJzGoLZpcMIoLbJ6KSdbqB8a3W8a3-iu_Nf7zklhzx6NubWid3pLNafPt7cmh_VrPl4iGlzi9e9cY4
linkProvider Directory of Open Access Journals
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=Solution+of+a+bi-level+linear+programming+problem+with+uncertain+parameters+and+its+application&rft.jtitle=Operations+research+and+decisions&rft.au=Kumar+Bhurjee%2C+Ajay&rft.au=Kumar%2C+Pankaj&rft.au=Kumar%2C+Pavan&rft.date=2025&rft.issn=2081-8858&rft.eissn=2391-6060&rft.volume=35&rft.issue=2&rft_id=info:doi/10.37190%2Ford250201&rft.externalDBID=n%2Fa&rft.externalDocID=10_37190_ord250201
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2081-8858&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2081-8858&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2081-8858&client=summon