Effect of Carbon Emission and Shelf-Life on Random Emission and Random Price Dependent Demand of a Perishable Product in Interval Environment

Effect of Carbon Emission and Shelf-Life on Random Emission and Random Price Dependent Demand of a Perishable Product in Interval Environment | 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 Effect of Carbon Emission and Shelf-Life on Random Emission and Random Price Dependent Demand of a Perishable Product in Interval Environment Nabajyoti Bhattacharjee, Nabendu Sen This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-474629/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 An inventory of suppliers dealing with supply of raw materials from the natural resources like sugarcane, beetroot, vegetable scraps etc. need to choose the product for supply to the production industries with a great consciousness due to their finite shelf-life and carbon emission property. A product with small shelf-life and carrying the burden of carbon tax need to be sold quickly so that overall profit earn can be maximize in such a situation. Further the situation deteriorates when the selling price of a product is affected by the carbon emission and its absolute value reduces with time. There we need a formal mathematical design that can include all these issues of price and carbon tax so that the supplier can select the best product for sale. In this paper we develop and inventory model to investigate the earnings made by the supplier, selling the product with price- and stock- dependent demand and study the effect of carbon emission and shelf-life. Further we obtain the optimal preservation cost and green investment to reduce the deterioration and carbon emission. We study the model under different cases; deterministic demand, probabilistic demand with random emission and probabilistic demand with random price. We perform the sensitivity analysis. Theoretical Computer Science Inventory model Carbon emission Shelf-life Green investment Preservation cost Probabilistic demand Deterministic demand Particle Swarm Optimization with Constriction Factor Weighted Particle Swarm Optimization Genetic Algorithm Full Text This preprint is available for download as a PDF . 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-474629","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":28539400,"identity":"78240cd9-ef79-4d4b-abdd-65a65229d9a8","order_by":0,"name":"Nabajyoti Bhattacharjee","email":"","orcid":"","institution":"Assam University - Dargakona Campus: Assam University","correspondingAuthor":false,"prefix":"","firstName":"Nabajyoti","middleName":"","lastName":"Bhattacharjee","suffix":""},{"id":28539401,"identity":"c15c2ded-94c3-4002-8596-c6f3268b8ee9","order_by":1,"name":"Nabendu Sen","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAtUlEQVRIiWNgGAWjYLCChAobBgYJkrR8OJNGohbGmW2HSdBizn/42GOeM+cT+2c3H3zAUGMTTVCL5Yy0dGOeituJM+4cSzZgOJaW20BIi8ENHjNpnjO3Extu5JhJMDYcJkLL+fPfpHnbziXOJ17LgRw2yZltBxI3EK/lRpqZxIczycYbb6QlGyQQ5Zfzh59JJFTYyc67kXzwwYcaG8JaYMARrDKBWOUgYE+K4lEwCkbBKBhhAAA3x0RMR6GFqwAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0001-7900-161X","institution":"Assam University - 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A product with small shelf-life and carrying the burden of carbon tax need to be sold quickly so that overall profit earn can be maximize in such a situation. Further the situation deteriorates when the selling price of a product is affected by the carbon emission and its absolute value reduces with time. There we need a formal mathematical design that can include all these issues of price and carbon tax so that the supplier can select the best product for sale. In this paper we develop and inventory model to investigate the earnings made by the supplier, selling the product with price- and stock- dependent demand and study the effect of carbon emission and shelf-life. Further we obtain the optimal preservation cost and green investment to reduce the deterioration and carbon emission. We study the model under different cases; deterministic demand, probabilistic demand with random emission and probabilistic demand with random price. 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