A Fuzzy-Based Servers’ Management Technique for M/M/m Queue Network

A Fuzzy-Based Servers’ Management Technique for M/M/m Queue Network | 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 A Fuzzy-Based Servers’ Management Technique for M/M/m Queue Network Adegbuyi David Gbadebo, Adio Taofiki Akinwale, Adesina Simon Sodiya, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3308384/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 The study presents an M/M/m queue model for a fuzzy-based management of parallel multiple servers. In this network, customers arrive according to a homogeneous Poisson process at rate λ and are served on first-come, first-served basis. The model may have up to three categories of servers viz: active servers, ’server(s) on vacation’ and reserved servers. In a situation where all active servers are busy and customers arrive, there are three possibilities: a server on vacation (if any), is turned on to attend to the arriving customers; the system request for additional server(s) from among reserved servers or the arriving customer(s) wait until one or more of the active servers becomes idle. Decision on management of servers is based on the output. This decision is taken by an Expert System which adopts fuzzy logic approach to process inputs as crisp variables to generate output based on given rules. This is necessary to ensure that available servers are put to optimal use while arriving customers are serviced within the shortest possible time and servers’ costs are minimized. Active servers Servers on vacation Reserved servers Expert System Network performance metrics 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-3308384","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":230085065,"identity":"e2d60176-177b-4c60-b835-6efb5122342b","order_by":0,"name":"Adegbuyi David Gbadebo","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2ElEQVRIiWNgGAWjYDACCSBOqJDgYWNvYGAmQcsZGxl+ngOkaGFsS7ORnJFApBb56B4ziQdsh3kMbr4x/FxQYcPA396dgFeL4Z0zZhIJPEAtt3OMpWecSWOQOHN2A34tM3KAWiTAWgykedsOMxhI5BKjxQDksDPGv4nSIi8B0pKQxiM5g8eMOFsMZI4VWyQcsOHh50krs+Y5k8ZD0C/ys5s33vz5T8Kejf3w5ts8FTZy/O29BGw5wMAiAWFyGIBIHrzKwbYAk8kHCJP9AUHVo2AUjIJRMDIBAHQzRE+a9ReJAAAAAElFTkSuQmCC","orcid":"","institution":"Lagos State University of Education","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Adegbuyi","middleName":"David","lastName":"Gbadebo","suffix":""},{"id":230085066,"identity":"27b81aef-3424-461c-b175-afcb0ea36a6e","order_by":1,"name":"Adio Taofiki Akinwale","email":"","orcid":"","institution":"Federal University of Agriculture","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Adio","middleName":"Taofiki","lastName":"Akinwale","suffix":""},{"id":230085067,"identity":"ba7e315a-1de0-4dea-a89f-a63bad61feaf","order_by":2,"name":"Adesina Simon Sodiya","email":"","orcid":"","institution":"Federal University of Agriculture","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Adesina","middleName":"Simon","lastName":"Sodiya","suffix":""},{"id":230085068,"identity":"9421ea47-72f2-4418-8490-40b9af6ac552","order_by":3,"name":"Simeon, A. 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