Fuzzy credibility-constrained quadratic optimization for booster chlorination of the water distribution system under uncertainty
To keep chlorine concentration at acceptable levels, chlorine is usually injected into the water distribution system (WDS). To protect the health of human beings, the chlorine concentration at consumers’ nodes should be kept at appropriate levels. However, these levels are difficult to determine due...
Saved in:
| Published in: | Aqua (London, England) Vol. 71; no. 5; pp. 608 - 627 |
|---|---|
| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford
IWA Publishing
01.05.2022
|
| Subjects: | |
| ISSN: | 1606-9935, 2709-8028, 1605-3974, 2709-8036 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | To keep chlorine concentration at acceptable levels, chlorine is usually injected into the water distribution system (WDS). To protect the health of human beings, the chlorine concentration at consumers’ nodes should be kept at appropriate levels. However, these levels are difficult to determine due to the presence of fuzzy uncertainties. To deal with fuzziness at both sides of the constraints in the optimization model of booster chlorination, we propose a fuzzy credibility-constrained quadratic programming (FCCQP) model with a consideration of credibility levels and weight coefficients. The proposed model is applied to two WDSs to obtain the booster cost under uncertain conditions. The results indicate that the booster cost increases with the confidence level for lower chlorine concentration ζL. In addition, the booster cost decreases with the weight coefficient w. The booster cost function curves along with the variation of weight coefficients are concave and convex for scenario 1 and scenario 2, respectively. These results can help managers to make informed decisions on disinfection injection under conditions of fuzzy uncertainties. |
|---|---|
| AbstractList | To keep chlorine concentration at acceptable levels, chlorine is usually injected into the water distribution system (WDS). To protect the health of human beings, the chlorine concentration at consumers’ nodes should be kept at appropriate levels. However, these levels are difficult to determine due to the presence of fuzzy uncertainties. To deal with fuzziness at both sides of the constraints in the optimization model of booster chlorination, we propose a fuzzy credibility-constrained quadratic programming (FCCQP) model with a consideration of credibility levels and weight coefficients. The proposed model is applied to two WDSs to obtain the booster cost under uncertain conditions. The results indicate that the booster cost increases with the confidence level for lower chlorine concentration ζL. In addition, the booster cost decreases with the weight coefficient w. The booster cost function curves along with the variation of weight coefficients are concave and convex for scenario 1 and scenario 2, respectively. These results can help managers to make informed decisions on disinfection injection under conditions of fuzzy uncertainties. HIGHLIGHTS The study deals with fuzziness at both sides of the constraints.; The study integrates the generalized fuzzy credibility chance-constrained programming and quadratic programming.; The study obtains booster cost under various credibility levels and weight coefficients.; The study analyzes the proportion of the operation cost.; The study compares the booster costs of various cases.; To keep chlorine concentration at acceptable levels, chlorine is usually injected into the water distribution system (WDS). To protect the health of human beings, the chlorine concentration at consumers’ nodes should be kept at appropriate levels. However, these levels are difficult to determine due to the presence of fuzzy uncertainties. To deal with fuzziness at both sides of the constraints in the optimization model of booster chlorination, we propose a fuzzy credibility-constrained quadratic programming (FCCQP) model with a consideration of credibility levels and weight coefficients. The proposed model is applied to two WDSs to obtain the booster cost under uncertain conditions. The results indicate that the booster cost increases with the confidence level for lower chlorine concentration ζL. In addition, the booster cost decreases with the weight coefficient w. The booster cost function curves along with the variation of weight coefficients are concave and convex for scenario 1 and scenario 2, respectively. These results can help managers to make informed decisions on disinfection injection under conditions of fuzzy uncertainties. |
| Author | Zhu, Guangcan Wang, Yumin |
| Author_xml | – sequence: 1 givenname: Yumin surname: Wang fullname: Wang, Yumin – sequence: 2 givenname: Guangcan surname: Zhu fullname: Zhu, Guangcan |
| BookMark | eNotj01PAjEQhhuDiYgcvTfxvNivbbdHQ0RJTLzoedOvlRJooduNWU7-dCt4mnfmnXlm5hZMQgwOgHuMFgRz_qiOg1oQRMgCYXQFppijuqJSsMlZ80pKWt-Aed9vEUJEciYZmoKf1XA6jdAkZ732O5_HysTQ56R8cBYWqE0qewPjIfu9PxUdA-xigjrGPrsEzWYXkw8XI3Ywbxz8Vn-O9YXj9XB2-rF07-EQbHGGYFzKZUUe78B1p3a9m__HGfhcPX8sX6u395f18umtMhShXAmHERGmEzXBltWGEYW11I2UnbNGUs4dtbg2SFjXEG4s7qTkWrHGYSfL7zOwvnBtVNv2kPxepbGNyrfnQkxfrUrl0Z1rKSNW10SyhggmtZacd1SURDeY8poV1sOFdUjxOLg-t9s4pFDOb4kQZUYISukvH3B_zg |
| CitedBy_id | crossref_primary_10_1061_JPSEA2_PSENG_1520 crossref_primary_10_1016_j_jwpe_2022_103300 crossref_primary_10_2166_ws_2024_197 crossref_primary_10_1007_s11269_022_03383_y crossref_primary_10_1061_JWRMD5_WRENG_6268 |
| ContentType | Journal Article |
| Copyright | Copyright IWA Publishing May 2022 |
| Copyright_xml | – notice: Copyright IWA Publishing May 2022 |
| DBID | 7QH 7UA AEUYN AFKRA ATCPS AZQEC BENPR BHPHI C1K CCPQU DWQXO F1W GNUQQ H97 HCIFZ L.G PATMY PHGZM PHGZT PKEHL PQEST PQQKQ PQUKI PYCSY DOA |
| DOI | 10.2166/aqua.2022.010 |
| DatabaseName | Aqualine Water Resources Abstracts One Sustainability ProQuest Central UK/Ireland Agricultural & Environmental Science Collection ProQuest Central Essentials ProQuest Central Natural Science Collection Environmental Sciences and Pollution Management ProQuest One Community College ProQuest Central ASFA: Aquatic Sciences and Fisheries Abstracts ProQuest Central Student Aquatic Science & Fisheries Abstracts (ASFA) 3: Aquatic Pollution & Environmental Quality SciTech Premium Collection Aquatic Science & Fisheries Abstracts (ASFA) Professional Environmental Science Database ProQuest Databases ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic (retired) ProQuest One Academic UKI Edition Environmental Science Collection DOAJ Directory of Open Access Journals |
| DatabaseTitle | Aquatic Science & Fisheries Abstracts (ASFA) Professional ProQuest Central Student ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College Aqualine Aquatic Science & Fisheries Abstracts (ASFA) 3: Aquatic Pollution & Environmental Quality Water Resources Abstracts Environmental Sciences and Pollution Management ProQuest Central Environmental Science Collection ProQuest One Sustainability ProQuest One Academic UKI Edition Natural Science Collection ProQuest Central Korea ASFA: Aquatic Sciences and Fisheries Abstracts Agricultural & Environmental Science Collection Environmental Science Database ProQuest One Academic ProQuest Central (New) ProQuest One Academic (New) |
| DatabaseTitleList | Aquatic Science & Fisheries Abstracts (ASFA) Professional |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1605-3974 2709-8036 |
| EndPage | 627 |
| ExternalDocumentID | oai_doaj_org_article_342db529482749bb966f37827b813654 |
| GroupedDBID | 7QH 7UA 7XC 8FE 8FH AEUYN AFKRA AFRAH ALMA_UNASSIGNED_HOLDINGS ATCPS AZQEC BENPR BHPHI C1K CCPQU DWQXO F1W GNUQQ H97 HCIFZ L.G PATMY PHGZM PHGZT PKEHL PQEST PQQKQ PQUKI PYCSY FRP GROUPED_DOAJ |
| ID | FETCH-LOGICAL-c300t-7e1027cf7521d45c42a1b9b899fedc9366e3d15c07de826cd1f996ba48e1e9993 |
| IEDL.DBID | DOA |
| ISICitedReferencesCount | 7 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000797024300001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1606-9935 2709-8028 |
| IngestDate | Fri Oct 03 12:44:18 EDT 2025 Mon Jun 30 14:53:45 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c300t-7e1027cf7521d45c42a1b9b899fedc9366e3d15c07de826cd1f996ba48e1e9993 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| OpenAccessLink | https://doaj.org/article/342db529482749bb966f37827b813654 |
| PQID | 2777497733 |
| PQPubID | 2044526 |
| PageCount | 20 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_342db529482749bb966f37827b813654 proquest_journals_2777497733 |
| PublicationCentury | 2000 |
| PublicationDate | 20220501 2022-05-01 |
| PublicationDateYYYYMMDD | 2022-05-01 |
| PublicationDate_xml | – month: 05 year: 2022 text: 20220501 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Oxford |
| PublicationPlace_xml | – name: Oxford |
| PublicationTitle | Aqua (London, England) |
| PublicationYear | 2022 |
| Publisher | IWA Publishing |
| Publisher_xml | – name: IWA Publishing |
| SSID | ssj0002964940 ssib031294686 ssib050728970 ssj0002513546 ssib050049682 |
| Score | 2.3158958 |
| Snippet | To keep chlorine concentration at acceptable levels, chlorine is usually injected into the water distribution system (WDS). To protect the health of human... |
| SourceID | doaj proquest |
| SourceType | Open Website Aggregation Database |
| StartPage | 608 |
| SubjectTerms | booster cost Chlorination Chlorine Coefficient of variation Coefficients Confidence intervals confidence level Constraint modelling Construction costs Cost function Credibility Disinfection Disinfection & disinfectants Distribution Fuzzy sets Linear programming Optimization Optimization models Quadratic programming Uncertainty Water distribution water distribution system Water distribution systems Water engineering Weight weight coefficients |
| SummonAdditionalLinks | – databaseName: ProQuest Central dbid: BENPR link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagMLDwECAeBXlgNSR2EicTooiKAVUIgcQWxS9ggJQ0BbUTP5272BUDEgtLpOSiyIrPd9_Zd98RcmJknqrMWmYTx1liUsEKlcKtcWmVS2et6wqFb-RolD8-Frdhw20S0ioXNrEz1KbWuEd-xiUAFQArQpyP3xl2jcLT1dBCY5msIFMZ6PnK4Gp0e7fQKAHeLMkCQRraZjxkLHyVJCB3Bs459cSbPM6ys-p9ilREnJ9GWFHbkfj_stGd4xlu_HfIm2Q9QE564XVkiyy5Zpt8Dafz-YwiX6jPj50xjVARO0ZYQ2GIBnVD0xpsymso1qSAcCnAciRXoPq5S97zgtpRQJL0s0KJQTLe0EeLeqpoirVqDVy1T0FoZzvkYXh1f3nNQjcGpkUUtUxawCJIYgQO3ySpTngVq0JBvOas0YXIMitMnOpIGgsxizaxg1hKVUluYwswVOyS3lv9ZvcIjaWrnHCGK-ngM4XiWKSSQeQj8HW7Twb468uxJ9wokQK7e1A3T2VYUaVIuFEpzG8OgXWhFMRtTgDekSrH1L1kn_QXs1KGdTkpf6bk4G_xIVlDRfCpjX3Sa5upPSKr-qN9mTTHQc2-AQzn330 priority: 102 providerName: ProQuest |
| Title | Fuzzy credibility-constrained quadratic optimization for booster chlorination of the water distribution system under uncertainty |
| URI | https://www.proquest.com/docview/2777497733 https://doaj.org/article/342db529482749bb966f37827b813654 |
| Volume | 71 |
| WOSCitedRecordID | wos000797024300001&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: 1605-3974 dateEnd: 20241231 omitProxy: false ssIdentifier: ssj0002513546 issn: 1606-9935 databaseCode: DOA dateStart: 20210101 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: 1605-3974 dateEnd: 99991231 omitProxy: false ssIdentifier: ssib050728970 issn: 1606-9935 databaseCode: M~E dateStart: 20210101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: Environmental Science Database customDbUrl: eissn: 1605-3974 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0002964940 issn: 1606-9935 databaseCode: PATMY dateStart: 19980201 isFulltext: true titleUrlDefault: http://search.proquest.com/environmentalscience providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1605-3974 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0002964940 issn: 1606-9935 databaseCode: BENPR dateStart: 19980201 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrZ07T8MwEMctVBhgQDxFoSAPrKGJncTx2KJWDLSqUJHKFMUvwUALfYDaAfHRuYuDqMTAwmIpdpREPsf-n3T3O0IujcgSlVob2NixIDYJD6RK4NK4pMiEs9aVicK3ot_PRiM5WCv1hTFhHg_sJ67JY2ZUwiTiKmOpFMhzx-FYEyrDCK2SBBoKueZMwUpKUPimP9QWED3gWFQrE_doONW5z-JhIpSwTbPMAzhZlKbN4nWBSCLGrkLMrC1h_r_26vIA6u6R3Uo50pb_4n2yYccHZGeNJ3hIPruL1WpJEQLqg16XgUb9h2UgrKHwPoMG13QCG8VzlYFJQbZS0NpITKD6sYzI8wMTR0Ee0vcCRwwSdqviWNTznykmoE2h1T6uYL48IvfdzvD6JqhKLASah-E8EBYEBpKJ4BQ3caJjVkRKKnDCnDVa8jS13ESJDoWx4IhoEzlwkFQRZzayoC35MamNJ2N7QmgkXOG4M0wJB4-RimHmSQruDMfbbZ20cR7zF0_RyJFrXXaAtfPK2vlf1q6TxrcV8upnm-VMgIYFHcv56X-844xso-19VGOD1ObThT0nW_pt_jSbXpDNdqc_uLso1xu0vY8O9A1aw97DF9N12n4 |
| linkProvider | Directory of Open Access Journals |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Nb9QwEB2VFgkuBQSohQI-ADfTjR3HyYFD-Vi16nbVwyKVU4i_Wg40bXaXanvqL-I3MhM74oDErQcukRJHPtgvM2_imTcAr50ulSm85z4PgudOSV4ZhbcuqKbUwfvQFwpP9HRanpxUx2vwa6iFobTKwSb2htq1lv6R7wqNRAXJihw6VR_61RXGZ_P3B59wM98IMf48-7jPUwsBbuVotODaowMl5R30Ui5XNhdNZiqDQUbwzlayKLx0mbIj7TwSbeuygAGAafLSZx65k8R5315ccupSRae5qWXHHdgoi0rhV7RxvDc7-jogWKL3zIskyEa-gA41q1iViZECxwlVFPoUWVHsNpdLkj4S4t2IKnj7pgF_-YTe0Y0f_G9L9BA2E6Vme_EbeARroXsMN-Pl9fWKkR5qzP9dcUtUmDpieMdwSRxh37IWbeaPVIzKkMEzDDtIPILZsz45MQ60gSFTZlcNjTgSG059wliUwmZUi9fh1cYUi8XqCXy5lXV4Cuvn7bnfApbp0AQZnDA64DSVEVSEU2BkJ-l1vw0faKvriygoUpPEd_-g7U7rZDFqmQtnFOKpFLirxmBcGiTyOW1KSk3Mt2FnQEGd7M68_gOBZ_8efgX39mdHk3pyMD18DvcJhDGNcwfWF93Sv4C79ufi-7x7mSDO4Ntto-g33LM8rQ |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V09b9RAEB2FC0I0QBQQgUC2IOVy9q7ttQuEEsKJKMnpiiCFyni_gII48d0RXSp-F78uM961KJDSpaCxZK9tyd7nmTfemTcAb6wqc104x13mBc9sLnmlc9y1Pm9K5Z3zfaHwsZpOy7OzarYGf4ZaGEqrHGxib6hta-gf-VgoJCpIVqQc-5gWMTuYvL-45NRBilZah3YaASJHbnWF4dv83eEBzvWuEJOPpx8-8dhhgBuZJAuuHPpXEuZBJ2az3GSiSXWlMQbxzppKFoWTNs1NoqxDHm5s6jE-0E1WutQhtZJ433uwXhYqKUewPts7PfkyoFmiJ82KKM5GfoEWOKtQoYlRA8er8yD6KdKiGDeXS5JBEuJtQtW8fQOBf_xD7_Qmj__n1_UEHkWqzfbCt7EBa77bhN-T5fX1ipFOasgLXnFDFJk6ZTjL8PVY-iYMa9GW_oxFqgyZPcNwhEQlmPneJy2GgdYzZNDsqqERSyLEsX8YCxLZjGr0OtyakHqxWD2Fz3fy0M9gdN6eu-fAUuUbL70VWnm8TaUFFecUGPFJOt1twT5Ne30RhEZqkv7uD7TdtzpaklpmwuocsVUKnGGtMV71Enme0iWlLGZbsD0goo72aF7_hcOL24d34AHipD4-nB69hIeEx5DduQ2jRbd0r-C--bX4Me9eR7Qz-HrXiLkB8btFYw |
| 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=Fuzzy+credibility-constrained+quadratic+optimization+for+booster+chlorination+of+the+water+distribution+system+under+uncertainty&rft.jtitle=Aqua+%28London%2C+England%29&rft.au=Yumin+Wang&rft.au=Guangcan+Zhu&rft.date=2022-05-01&rft.pub=IWA+Publishing&rft.issn=2709-8028&rft.eissn=2709-8036&rft.volume=71&rft.issue=5&rft.spage=608&rft.epage=627&rft_id=info:doi/10.2166%2Faqua.2022.010&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_342db529482749bb966f37827b813654 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1606-9935&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1606-9935&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1606-9935&client=summon |