A note on “A Continuous Approach to Nonlinear Integer Programming”
Ge and Huang (1989) proposed an approach to transform nonlinear integer programming problems into nonlinear global optimization problems, which are then solved by the filled function transformation method. The approach has recently attracted much attention. This note indicates that the formulae to d...
Uložené v:
| Vydané v: | Applied mathematics and computation Ročník 215; číslo 6; s. 2388 - 2389 |
|---|---|
| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Amsterdam
Elsevier Inc
15.11.2009
Elsevier |
| Predmet: | |
| ISSN: | 0096-3003, 1873-5649 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | Ge and Huang (1989) proposed an approach to transform nonlinear integer programming problems into nonlinear global optimization problems, which are then solved by the filled function transformation method. The approach has recently attracted much attention. This note indicates that the formulae to determine a penalty parameter in two fundamental theorems are incorrect, and presents the corrected formulae and revised theorems. |
|---|---|
| AbstractList | Ge and Huang (1989) proposed an approach to transform nonlinear integer programming problems into nonlinear global optimization problems, which are then solved by the filled function transformation method. The approach has recently attracted much attention. This note indicates that the formulae to determine a penalty parameter in two fundamental theorems are incorrect, and presents the corrected formulae and revised theorems. |
| Author | Zhang, Guoqing |
| Author_xml | – sequence: 1 givenname: Guoqing surname: Zhang fullname: Zhang, Guoqing email: gzhang@uwindsor.ca organization: Department of Industrial and Manufacturing Systems Engineering, University of Windsor, Windsor, ON, Canada N9B 3P4 |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22476749$$DView record in Pascal Francis |
| BookMark | eNp9kLtOAzEQRS0UJJLAB9C5odxl7H14V1RRxEtCQAG1NevMBkeJHdkbJDo-BH4uX8JGQRQUmWaKe89Ic0Zs4Lwjxs4FpAJEeblIcWVSCVCnUKUgiiM2FJXKkqLM6wEb9kGZZADZCRvFuAAAVYp8yG4m3PmOuHd8-_k14VPvOus2fhP5ZL0OHs0b7zx_9G5pHWHg966jOQX-HPw84Gpl3Xz7-X3KjltcRjr73WP2enP9Mr1LHp5u76eTh8RkUnVJhSAJQTVtU-S7yao-wLYxCsuSVJO1UlBRzAxmNZhZQVLWbSMLlG0OFWVjdrG_u8ZocNkGdMZGvQ52heFDS5mrUuV13xP7ngk-xkDtX0WA3gnTC90L0zthGirdC-sZ9Y8xtsPO9kYC2uVB8mpPUv_6u6Wgo7HkDM1sINPpmbcH6B8bUYjl |
| CODEN | AMHCBQ |
| CitedBy_id | crossref_primary_10_1061__ASCE_WR_1943_5452_0000160 crossref_primary_10_1007_s11590_015_0931_2 crossref_primary_10_1080_09720502_2016_1179488 |
| Cites_doi | 10.1016/j.cam.2008.01.023 10.1016/0096-3003(89)90005-2 10.1016/j.ejor.2008.07.026 10.1016/j.amc.2007.04.045 10.1007/s10898-006-9053-9 |
| ContentType | Journal Article |
| Copyright | 2009 Elsevier Inc. 2015 INIST-CNRS |
| Copyright_xml | – notice: 2009 Elsevier Inc. – notice: 2015 INIST-CNRS |
| DBID | AAYXX CITATION IQODW |
| DOI | 10.1016/j.amc.2009.08.015 |
| DatabaseName | CrossRef Pascal-Francis |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1873-5649 |
| EndPage | 2389 |
| ExternalDocumentID | 22476749 10_1016_j_amc_2009_08_015 S0096300309007334 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 23M 4.4 457 4G. 5GY 5VS 6J9 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABAOU ABEFU ABFNM ABFRF ABJNI ABMAC ABXDB ABYKQ ACAZW ACDAQ ACGFO ACGFS ACRLP ADBBV ADEZE ADGUI ADIYS ADMUD AEBSH AEFWE AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AI. AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HLZ HMJ HVGLF HZ~ IHE J1W KOM LG9 M26 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ RXW SBC SDF SDG SES SEW SME SPC SPCBC SSW SSZ T5K TAE TN5 VH1 VOH WH7 WUQ X6Y XPP ZMT ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD AFXIZ AGCQF AGRNS BNPGV IQODW SSH |
| ID | FETCH-LOGICAL-c327t-8a02ea07bfb54444438c32afbc7a66e7b3f21e55dca390cd5e229fb25a2f408e3 |
| ISICitedReferencesCount | 5 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000270972400042&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0096-3003 |
| IngestDate | Mon Jul 21 09:14:24 EDT 2025 Sat Nov 29 06:12:18 EST 2025 Tue Nov 18 21:00:26 EST 2025 Fri Feb 23 02:19:04 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 6 |
| Keywords | Nonlinear integer programming Penalty function Global optimization Filled function method Optimization method Nonlinear problems Non linear programming Penalty method Integer programming Numerical analysis Applied mathematics Variational calculus Mathematical programming |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c327t-8a02ea07bfb54444438c32afbc7a66e7b3f21e55dca390cd5e229fb25a2f408e3 |
| PageCount | 2 |
| ParticipantIDs | pascalfrancis_primary_22476749 crossref_primary_10_1016_j_amc_2009_08_015 crossref_citationtrail_10_1016_j_amc_2009_08_015 elsevier_sciencedirect_doi_10_1016_j_amc_2009_08_015 |
| PublicationCentury | 2000 |
| PublicationDate | 2009-11-15 |
| PublicationDateYYYYMMDD | 2009-11-15 |
| PublicationDate_xml | – month: 11 year: 2009 text: 2009-11-15 day: 15 |
| PublicationDecade | 2000 |
| PublicationPlace | Amsterdam |
| PublicationPlace_xml | – name: Amsterdam |
| PublicationTitle | Applied mathematics and computation |
| PublicationYear | 2009 |
| Publisher | Elsevier Inc Elsevier |
| Publisher_xml | – name: Elsevier Inc – name: Elsevier |
| References | Ge, Huang (bib1) 1989; 34 Ng, Li, Zhang (bib4) 2007; 37 Huang, Miao, Wang (bib2) 2007; 194 Ling, Xu, Xu (bib3) 2009; 197 Zhu, Fan (bib5) 2009; 223 Ge (10.1016/j.amc.2009.08.015_bib1) 1989; 34 Ling (10.1016/j.amc.2009.08.015_bib3) 2009; 197 Ng (10.1016/j.amc.2009.08.015_bib4) 2007; 37 Zhu (10.1016/j.amc.2009.08.015_bib5) 2009; 223 Huang (10.1016/j.amc.2009.08.015_bib2) 2007; 194 |
| References_xml | – volume: 223 start-page: 356 year: 2009 end-page: 373 ident: bib5 article-title: A discrete dynamic convexized method for nonlinear integer programming publication-title: J. Comput. Appl. Math. – volume: 194 start-page: 224 year: 2007 end-page: 233 ident: bib2 article-title: A revised cut-peak function method for box constrained continuous global optimization publication-title: Appl. Math. Comput. – volume: 197 start-page: 519 year: 2009 end-page: 531 ident: bib3 article-title: A discrete filled function algorithm embedded with continuous approximation for solving max-cut problems publication-title: Euro. J. Oper. Res. – volume: 34 start-page: 39 year: 1989 end-page: 60 ident: bib1 article-title: A continuous approach to nonlinear integer programming publication-title: Appl. Math. Comput. – volume: 37 start-page: 357 year: 2007 end-page: 379 ident: bib4 article-title: Discrete global descent method for discrete global optimization and nonlinear integer programming publication-title: J. Glob. Optim. – volume: 223 start-page: 356 year: 2009 ident: 10.1016/j.amc.2009.08.015_bib5 article-title: A discrete dynamic convexized method for nonlinear integer programming publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2008.01.023 – volume: 34 start-page: 39 year: 1989 ident: 10.1016/j.amc.2009.08.015_bib1 article-title: A continuous approach to nonlinear integer programming publication-title: Appl. Math. Comput. doi: 10.1016/0096-3003(89)90005-2 – volume: 197 start-page: 519 issue: 2 year: 2009 ident: 10.1016/j.amc.2009.08.015_bib3 article-title: A discrete filled function algorithm embedded with continuous approximation for solving max-cut problems publication-title: Euro. J. Oper. Res. doi: 10.1016/j.ejor.2008.07.026 – volume: 194 start-page: 224 issue: 1 year: 2007 ident: 10.1016/j.amc.2009.08.015_bib2 article-title: A revised cut-peak function method for box constrained continuous global optimization publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2007.04.045 – volume: 37 start-page: 357 issue: 3 year: 2007 ident: 10.1016/j.amc.2009.08.015_bib4 article-title: Discrete global descent method for discrete global optimization and nonlinear integer programming publication-title: J. Glob. Optim. doi: 10.1007/s10898-006-9053-9 |
| SSID | ssj0007614 |
| Score | 1.9333149 |
| Snippet | Ge and Huang (1989) proposed an approach to transform nonlinear integer programming problems into nonlinear global optimization problems, which are then solved... |
| SourceID | pascalfrancis crossref elsevier |
| SourceType | Index Database Enrichment Source Publisher |
| StartPage | 2388 |
| SubjectTerms | Calculus of variations and optimal control Exact sciences and technology Filled function method Global optimization Mathematical analysis Mathematics Nonlinear integer programming Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Penalty function Sciences and techniques of general use |
| Title | A note on “A Continuous Approach to Nonlinear Integer Programming” |
| URI | https://dx.doi.org/10.1016/j.amc.2009.08.015 |
| Volume | 215 |
| WOSCitedRecordID | wos000270972400042&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1873-5649 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0007614 issn: 0096-3003 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb5wwELZWSQ-tqqpPNX1EPvTUiojaeG0fUZr0oXSVQ1rtDRkDUqMs0H1EOeaHtH8uv6Qzaxt2V03UHMoBsYC9wDeMh_HMN4S8iXkueCKHEWdFGSVC2Ejn3ERo7oOBUSmxJKv-fiRHIzUe6-PB4CjkwpyfybpWFxe6_a9Qwz4AG1NnbwF31ynsgG0AHdYAO6z_Cfj0Xd3g3D-g6gMZ9jH1HCtCLDDeNW37LKqRI8ow06VnEBOAj1281gTzoH3zD6sGbLBaJx3d6yykxrWL9Wn9zhf9cdH8DCNkcDBozLRzKZZBaWoMj4v5qtJk_RmbKpC7On1-OIWf-q-q2nkNTvfMxHraULUX-17XaLE3hqsuiDDEp51m0AWW09QZVtRExoFtJoUGNb2dfj4Yf-lGZjl0XO_hhsIs9zLeb-M6rrNT7rdmBm9P5cqerNgiJw_JA_8RQVMH_iMyKOvH5N7XHpIn5DClKAa0qenV5a-U9gJAgwDQeUM7AaBeAOiKAFxd_n5Kvh0enOx_inzNjMhyJueRMjErTSzzKhcJLlzBAVPlVprhsJQ5r9j7UojCGq5jW4iSMV3lTBhWJbEq-TOyVTd1-ZzQSvECXVKJtkjqyA183KrCFIpxbgtud0gcnlBmPaE81jU5y65FZoe87Zq0jk3lppOT8Ngzbw46My8DEbqp2e4aRN0fgbGKzFX6xW0u4iW5278Tr8jWfLooX5M79nz-Yzbd9QL2B70giCQ |
| linkProvider | Elsevier |
| 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=A+note+on+%E2%80%9CA+Continuous+Approach+to+Nonlinear+Integer+Programming%E2%80%9D&rft.jtitle=Applied+mathematics+and+computation&rft.au=Zhang%2C+Guoqing&rft.date=2009-11-15&rft.issn=0096-3003&rft.volume=215&rft.issue=6&rft.spage=2388&rft.epage=2389&rft_id=info:doi/10.1016%2Fj.amc.2009.08.015&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_amc_2009_08_015 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0096-3003&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0096-3003&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0096-3003&client=summon |