Analysis on Mathematical inventory control policy models for deteriorating products with various costs by using exponential function

Analysis on Mathematical inventory control policy models for deteriorating products with various costs by using exponential function | 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 Analysis on Mathematical inventory control policy models for deteriorating products with various costs by using exponential function P Ramesh, V. Maheswari, V Balaji This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4224454/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 In this paper, we estimate the control policies for deteriorating products with various costs by using exponential function. Deteriorating inventory models with exponential function of various costs with shortage are developed. Shortages are acceptable in a production process that is operating well. The fully backlogged portion balances this. Due to varying exponential costs, deterioration rate is also changeable with time function. Demand items are considered as a constant, which can be obeyed in the exponential function of various costs. We develop the stock keeping cost function as exponential with varying time. Based on these deductions, a mathematical model has been developed and solved numerically. Using the help of numerical analysis we obtain optimum order quantity for each cycle. AMS classification: 90805, 90B06. Exponential varying cost Shortages deteriorating rate exponential function Inventory Costs 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-4224454","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":288188909,"identity":"22cc599d-a715-4577-9dd0-5c61aee6055b","order_by":0,"name":"P Ramesh","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1klEQVRIiWNgGAWjYFADCeYDIFKGFC1sCSCShxQtPAYgirAWc/7DDz9X1GyTk5/d8/nVjRoLHgb2w0c34NNiOSPNWPLMsdvGBnfObrPOOQZ0GE9a2g18Wgxu8LAxNrDdTtwgkbvNOIcNqEWCxwy/lvNngFr+3a6fPyPnmXHOP2K0HMhhY2xsu53AcCOH+XFuGxFawH5p7LttuOFGmhlzbp8EDxshv4BC7GPDt9vy8jOSH3/O+VYnx89++Bh+hyGx2STAJD7l6FqYPxBSPQpGwSgYBSMTAAD+ZkdmQtMSCwAAAABJRU5ErkJggg==","orcid":"","institution":"VISTAS","correspondingAuthor":true,"prefix":"","firstName":"P","middleName":"","lastName":"Ramesh","suffix":""},{"id":288188910,"identity":"dde8b8e2-5428-4bf8-b15e-f44748cb700f","order_by":1,"name":"V. Maheswari","email":"","orcid":"","institution":"VISTAS","correspondingAuthor":false,"prefix":"","firstName":"V.","middleName":"","lastName":"Maheswari","suffix":""},{"id":288188911,"identity":"79cfdd99-8ce1-48db-810f-8caa32d994be","order_by":2,"name":"V Balaji","email":"","orcid":"","institution":"Sacred Heart College","correspondingAuthor":false,"prefix":"","firstName":"V","middleName":"","lastName":"Balaji","suffix":""}],"badges":[],"createdAt":"2024-04-05 18:29:21","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4224454/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4224454/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":82716438,"identity":"42ebae17-b5f3-430c-948d-65cb88686bb9","added_by":"auto","created_at":"2025-05-14 12:17:01","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":268024,"visible":true,"origin":"","legend":"","description":"","filename":"AnalysisonMathemaicalinventorycontrolpolicymodelsfordeterioratingproductswithvariouscostsbyusingexponentialfunction.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4224454/v1_covered_5540ca8c-34fc-4e20-9492-37dc43e078f7.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Analysis on Mathematical inventory control policy models for deteriorating products with various costs by using exponential function","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"Exponential varying cost, Shortages, deteriorating rate, exponential function, Inventory Costs","lastPublishedDoi":"10.21203/rs.3.rs-4224454/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4224454/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this paper, we estimate the control policies for deteriorating products with various costs by using exponential function. Deteriorating inventory models with exponential function of various costs with shortage are developed. Shortages are acceptable in a production process that is operating well. The fully backlogged portion balances this. Due to varying exponential costs, deterioration rate is also changeable with time function. Demand items are considered as a constant, which can be obeyed in the exponential function of various costs. We develop the stock keeping cost function as exponential with varying time. Based on these deductions, a mathematical model has been developed and solved numerically. Using the help of numerical analysis we obtain optimum order quantity for each cycle.\u003c/p\u003e\n\u003cp\u003eAMS classification: 90805, 90B06.\u003c/p\u003e","manuscriptTitle":"Analysis on Mathematical inventory control policy models for deteriorating products with various costs by using exponential function","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-04-11 02:00:26","doi":"10.21203/rs.3.rs-4224454/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"039abd11-0f74-47bb-891f-06315307b4cf","owner":[],"postedDate":"April 11th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-05-14T12:08:45+00:00","versionOfRecord":[],"versionCreatedAt":"2024-04-11 02:00:26","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4224454","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4224454","identity":"rs-4224454","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}