An EOQ model for a two warehouse system with price and time dependent demand and instantaneous deterioration during COVID-19 pandemic

An EOQ model for a two warehouse system with price and time dependent demand and instantaneous deterioration during COVID-19 pandemic | 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 EOQ model for a two warehouse system with price and time dependent demand and instantaneous deterioration during COVID-19 pandemic Dolagobinda Das, Gauranga Charan Samanta This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2777984/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 This paper develops an inventory model considering a demand disruption and a linear price and time dependent demand. In this model, we analyze two possibilities and apply the FIFO dispatch policy. In the first scenario, the inventories of the owned warehouse (OW) get vacant after the lock-down relieves owing to a shorter lock-down duration, but in the second scenario, the inventories of the OW get vacant during the lock-down due to a longer lock-down duration. A two parametric Weibull distribution has been considered to mirror the real problems caused by deterioration. The study aims to minimize the total cost of a two-warehouse system during the lock-down time. Furthermore, sensitivity analysis was used to investigate the models' behavior. Taking into consideration actual conditions, this model might be useful in an emergency situation like the COVID-19 epidemic. Price-time dependent demand COVID-19 lock-down Two warehouse system EOQ model Perishable items Deterioration 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-2777984","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":189327677,"identity":"28fc9c04-ae36-46b6-8254-771c4f5c6c59","order_by":0,"name":"Dolagobinda Das","email":"data:image/png;base64,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","orcid":"","institution":"Fakir Mohan University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Dolagobinda","middleName":"","lastName":"Das","suffix":""},{"id":189327678,"identity":"e8d04ddb-1596-41b1-af03-da775e6c61dd","order_by":1,"name":"Gauranga Charan Samanta","email":"","orcid":"","institution":"Fakir Mohan University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Gauranga","middleName":"Charan","lastName":"Samanta","suffix":""}],"badges":[],"createdAt":"2023-04-04 18:44:15","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2777984/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2777984/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":43798089,"identity":"881b9bed-0475-453c-966c-2d198f98590a","added_by":"auto","created_at":"2023-09-28 00:37:32","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":648605,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2777984/v1_covered_f734975c-8435-4de9-8888-f55bc65686f2.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"An EOQ model for a two warehouse system with price and time dependent demand and instantaneous deterioration during COVID-19 pandemic","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":"Price-time dependent demand, COVID-19 lock-down, Two warehouse system, EOQ model, Perishable items, Deterioration","lastPublishedDoi":"10.21203/rs.3.rs-2777984/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2777984/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper develops an inventory model considering a demand disruption and a linear price and time dependent demand. 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