An analysis of the Kumaraswamy distribution for multi-objective probabilistic linear fractional programming problem

An analysis of the Kumaraswamy distribution for multi-objective probabilistic linear fractional programming problem | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article An analysis of the Kumaraswamy distribution for multi-objective probabilistic linear fractional programming problem HAMEDA MOHAMED ALAMA, MUSTAFA OMRAN ALSHRANI This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5020531/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract A technique for solving a multi-objective probabilistic linear fractional programming MOPLFP problem is presented, a Kumaraswamy distribution describes the parameters of the right-hand constraints. There is no direct solution to the MOPLFP problem. Three steps are needed to transform the proposed model into a known standard mathematical model. To illustrate the method, a numerical example and a practical example in the case of supply chain management are presented. The results indicate that the objective functions have dominant solutions. AMS Subject Classiffcation: 90C15; 90C29; 90C32. Multi-objective programming problem fractional programming problem probabilistic programming problem ϵ-constraint method Kumaraswamy distribution Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5020531","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":401074282,"identity":"27140b96-56b8-4781-bf22-e477a640b36c","order_by":0,"name":"HAMEDA MOHAMED ALAMA","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABBklEQVRIiWNgGAWjYHACxgNgir0BISTBwGCBVw9EC88BFC0SRGiRSCBSC38D84MDPyrsog1uPn786UbNvcT+BuaDt3kYJBIbcGiROMBmcLDnTHLuhttpZtI5x4oTZxxgS7bGpwXoKoMDvG3MQC0JZsw5bAmJDQd4zKTxaZE/wP7h4N9/9bkbbh7//DnnX0Li/AP83/BqMTjAY3CYt+Fw7oYbPAbSuW0JiRsO8LDh1WJ4mKfgsMyx47kzz+SUSef2JRhvPMxmbDnHQMIYlxa54+0bH76pqc7tO3588+ecbwmy8443P7zxpsJGFqf3mdH4jg1gEQMgA5cWdGCPwRgFo2AUjIIRDwDY8F7oyCUzsAAAAABJRU5ErkJggg==","orcid":"","institution":"Alasmarya Islamic University","correspondingAuthor":true,"prefix":"","firstName":"HAMEDA","middleName":"MOHAMED","lastName":"ALAMA","suffix":""},{"id":401074283,"identity":"35c8f0df-bf5b-4bf9-ae65-d52546b44653","order_by":1,"name":"MUSTAFA OMRAN ALSHRANI","email":"","orcid":"","institution":"Al-Mergib University","correspondingAuthor":false,"prefix":"","firstName":"MUSTAFA","middleName":"OMRAN","lastName":"ALSHRANI","suffix":""}],"badges":[],"createdAt":"2024-09-02 20:20:46","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5020531/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5020531/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":73720279,"identity":"e4d8066e-fccc-4b8e-a091-09d87dbdc9d7","added_by":"auto","created_at":"2025-01-14 02:23:58","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":273241,"visible":true,"origin":"","legend":"","description":"","filename":"multiobjectiveprobabilisticprogrammingproblem1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5020531/v1_covered_1b15789f-b10a-4ee7-a0eb-ebd6aad2f98e.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"An analysis of the Kumaraswamy distribution for multi-objective probabilistic linear fractional programming problem","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Multi-objective programming problem, fractional programming problem, probabilistic programming problem, ϵ-constraint method, Kumaraswamy distribution","lastPublishedDoi":"10.21203/rs.3.rs-5020531/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5020531/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA technique for solving a multi-objective probabilistic linear fractional programming MOPLFP problem is presented, a Kumaraswamy distribution describes the parameters of the right-hand constraints. 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