A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost
This paper presents sustainable inventory model with constant deterioration rate when holding cost is time dependent. Demand rate is price and stock dependent. Preservation technology and carbon emission are considered for more sustainable approach. Shortages are allowed and are fully backlogged. In...
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| Format: | Article |
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Croatian Operational Research Society
2025-01-01
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| Series: | Croatian Operational Research Review |
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| Online Access: | https://hrcak.srce.hr/file/473267 |
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| author | - Aashish Pavan Kumar |
| author_facet | - Aashish Pavan Kumar |
| author_sort | - Aashish |
| collection | DOAJ |
| description | This paper presents sustainable inventory model with constant deterioration rate when holding cost is time dependent. Demand rate is price and stock dependent. Preservation technology and carbon emission are considered for more sustainable approach. Shortages are allowed and are fully backlogged. In addition, a mathematical model is constructed to maximize the total profit function and the concavity is shown using three-dimensional graph. A numerical experimentation is carried to compute the total profit and the order quantity. To validate the proposed model, the sensitivity analysis is conducted for the total profit function as well as the order quantity. Results and observations are also discussed along with managerial insights. |
| format | Article |
| id | doaj-art-fdb4f9b4ed354b94baa5651c8a9392bf |
| institution | Kabale University |
| issn | 1848-0225 1848-9931 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Croatian Operational Research Society |
| record_format | Article |
| series | Croatian Operational Research Review |
| spelling | doaj-art-fdb4f9b4ed354b94baa5651c8a9392bf2025-02-04T14:05:45ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312025-01-01161859810.17535/crorr.2025.0008A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost- Aashish0Pavan Kumar1Division of Mathematics, School of Advanced Sciences and Languages (SASL), VIT Bhopal University, Kothri Kalan, Sehore, Madhya Pradesh, IndiaDivision of Mathematics, School of Advanced Sciences and Languages (SASL), VIT Bhopal University, Kothri Kalan, Sehore, Madhya Pradesh, IndiaThis paper presents sustainable inventory model with constant deterioration rate when holding cost is time dependent. Demand rate is price and stock dependent. Preservation technology and carbon emission are considered for more sustainable approach. Shortages are allowed and are fully backlogged. In addition, a mathematical model is constructed to maximize the total profit function and the concavity is shown using three-dimensional graph. A numerical experimentation is carried to compute the total profit and the order quantity. To validate the proposed model, the sensitivity analysis is conducted for the total profit function as well as the order quantity. Results and observations are also discussed along with managerial insights.https://hrcak.srce.hr/file/473267carbon emissioninventorypreservation technologyshortagessustainable |
| spellingShingle | - Aashish Pavan Kumar A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost Croatian Operational Research Review carbon emission inventory preservation technology shortages sustainable |
| title | A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost |
| title_full | A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost |
| title_fullStr | A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost |
| title_full_unstemmed | A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost |
| title_short | A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost |
| title_sort | profit maximization model for sustainable inventory under preservation technology and linear time dependent holding cost |
| topic | carbon emission inventory preservation technology shortages sustainable |
| url | https://hrcak.srce.hr/file/473267 |
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