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A Business Analytics Inventory Model for Ramp-Type Demand with Weibull Deterioration Rate—A Risk Management Approach

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  • Jitendra Kaushik

    (Symbiosis Institute of Health Science, Symbiosis International (Deemed University))

Abstract

This paper introduces an inventory model for deteriorating items based on the Economic Order Quantity (EOQ) approach. The model considers a ramp-type demand pattern with a Weibull distribution deterioration rate, which is influenced by price and time to maximize retailers' profits. The focus is on perishable items with seasonal demand, such as fruits and vegetables, whose deterioration begins upon receipt into inventory. The model considers two parameters of the Weibull distribution, ‘g’ and ‘h’, which are dependent on time. The study aims to determine the optimal replenishment policies to maximize retailer profits while considering the effects of deterioration and mitigating unforeseen future risks. It offers practical guidance for retailers on inventory management decisions, including when and how many items to store through the proposed study. A comparison with existing studies demonstrates that a retailer can earn additional per unit profit through the proposed model. The model allows for partial backlogging of shortages until the next replenishment to boost the sale of perishable items. The study provides a Hessian matrix analysis, concavity theorems, and numerical examples to support its findings, followed by a sensitivity analysis to assess the impact of changes in decision variables and parameters and mitigate potential future risks.

Suggested Citation

  • Jitendra Kaushik, 2024. "A Business Analytics Inventory Model for Ramp-Type Demand with Weibull Deterioration Rate—A Risk Management Approach," SN Operations Research Forum, Springer, vol. 5(4), pages 1-23, December.
    • Handle: RePEc:spr:snopef:v:5:y:2024:i:4:d:10.1007_s43069-024-00393-x
    DOI: 10.1007/s43069-024-00393-x
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    References listed on IDEAS

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    1. Ajoy Hatibaruah & Sumit Saha, 2024. "An inventory system using preservation technology investment for ameliorating and deteriorating items with ramp-type demand dependent on price and time and partial backlogging," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 49(4), pages 431-470.
    2. Trailokyanath Singh & Pandit Jagatananda Mishra & Hadibandhu Pattanayak, 2018. "An EOQ inventory model for deteriorating items with time-dependent deterioration rate, ramp-type demand rate and shortages," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 12(4), pages 423-437.
    3. Manna, S.K. & Chaudhuri, K.S., 2006. "An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages," European Journal of Operational Research, Elsevier, vol. 171(2), pages 557-566, June.
    4. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2021. "Optimal Price and Lot Size for an EOQ Model with Full Backordering under Power Price and Time Dependent Demand," Mathematics, MDPI, vol. 9(16), pages 1-16, August.
    5. Jitendra Kaushik, 2023. "Inventory model for perishable items for ramp type demand with an assumption of preservative technology and Weibull deterioration," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 18(2), pages 238-259.
    6. Skouri, K. & Konstantaras, I. & Papachristos, S. & Ganas, I., 2009. "Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate," European Journal of Operational Research, Elsevier, vol. 192(1), pages 79-92, January.
    7. Glock, C. H. & Grosse, E. H., 2015. "Decision support models for production ramp-up: A systematic literature review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 74024, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Kausik Das & Sahidul Islam, 2024. "A Comprehensive Study on Economic Production Quantity with Ramp-Type Demand and Constant Deterioration Under Fuzzy Environment," SN Operations Research Forum, Springer, vol. 5(2), pages 1-21, June.
    9. R. Sundararajan & M. Palanivel & S. Vaithyasubramanian, 2023. "On the EOQ Models with Advertisement-Price-Dependent Demand and Quantity Discount with Expiration Date Under Shortage," SN Operations Research Forum, Springer, vol. 4(4), pages 1-31, December.
    10. R. Udayakumar, 2022. "An EOQ model for non-instantaneous deteriorating items with time-dependent demand under partial backlogging," Journal of Management Analytics, Taylor & Francis Journals, vol. 9(4), pages 514-531, October.
    11. M. Valliathal & R. Uthayakumar, 2016. "Optimal replenishment policies of an EOQ model for non-instantaneous Weibull deteriorating items with ramp-type of demand under shortages," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 8(1), pages 60-86.
    12. Deng, Peter Shaohua & Lin, Robert H.-J. & Chu, Peter, 2007. "A note on the inventory models for deteriorating items with ramp type demand rate," European Journal of Operational Research, Elsevier, vol. 178(1), pages 112-120, April.
    13. Christoph H. Glock & Eric H. Grosse, 2015. "Decision support models for production ramp-up: a systematic literature review," International Journal of Production Research, Taylor & Francis Journals, vol. 53(21), pages 6637-6651, November.
    14. Biswajit Sarkar & Sharmila Saren & Leopoldo Cárdenas-Barrón, 2015. "An inventory model with trade-credit policy and variable deterioration for fixed lifetime products," Annals of Operations Research, Springer, vol. 229(1), pages 677-702, June.
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