Maximum Flow Model with Multiple Origin and Destination and Its Application in Designing Urban Drainage Systems

Maximum Flow Model with Multiple Origin and Destination and Its Application in Designing Urban Drainage Systems | 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 Article Maximum Flow Model with Multiple Origin and Destination and Its Application in Designing Urban Drainage Systems Ren Mu, Bohan Liang, Shuyi Zhang, Shiliang Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4690521/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 With the frequent occurrence of extreme global weather and the rapid advancement of urbanization, the problem of urban waterlogging is becoming increasingly severe. This paper proposes new multi-origin and multi-destination maximum flow models by combining objective programming method with graph theory. Through these models, we have achieved an idealized design of urban drainage systems, an intelligent adjustment for drainage systems, and a low-cost optimization and improvement methods for pipeline networks. The related results based on a certain area in Changchun City indicate that the models proposed in this paper not only have strong real-life application value in the designing of urban drainage systems but also have more general applications in other fields such as traffic flow and logistics supply chain planning. Earth and environmental sciences/Environmental social sciences Physical sciences/Mathematics and computing Climate change Waterlogging Objective programming Maximum flow Full Text Additional Declarations No competing interests reported. Supplementary Files Catchmentdata.xlsx PipeNetworkData.xlsx data.xlsx result.xlsx 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-4690521","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":338588644,"identity":"ab7bcfda-a9e3-4965-a845-6cf9ef0e668b","order_by":0,"name":"Ren Mu","email":"","orcid":"","institution":"Jilin University of Finance and Economics","correspondingAuthor":false,"prefix":"","firstName":"Ren","middleName":"","lastName":"Mu","suffix":""},{"id":338588645,"identity":"57d189ff-dacf-472c-9792-c7d19a37250d","order_by":1,"name":"Bohan Liang","email":"","orcid":"","institution":"Jilin University of Finance and 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