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A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts

Author

Listed:
  • Alaa Fouad Momena

    (Department of Industrial Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia)

  • Rakibul Haque

    (Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, India)

  • Mostafijur Rahaman

    (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India)

  • Sankar Prasad Mondal

    (Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, India)

Abstract

Background: What are the cumulative influences of pricing, promotions of commodities, order size-based discount opportunities, and alternative warehousing scenarios on effective decision-making concerning inventory management? It is observed that the prices and promotion of products influence the demand rate. The shortage can be partially backlogged, and the backlogging rate depends on the waiting time. Also, discount and trade credit facilities may be available when purchasing items. This paper describes a novel inventory control model regarding optimal warehousing decision-making scenarios. Methods: This paper includes the facts in its hypothesis and examines the overall impact of the mentioned issues on profitability. The inventory carrying scheme associated with the proposed model consists of both rented and owned warehouse facilities in which the cost increases linearly with time. The numerical and visual simulation succeeds the mathematical approach to analyze the proposed inventory model in Mathematica software. Results: The results show that a price hike enhances profit despite the negative impact on demand creation. Also, promotion frequency favors profitability, suppressing the corresponding costs. Another managerial intuition is revealed through the numerical result that the stock should be held in a rented warehouse when deterioration in the owned warehouse increases, despite the cost of a rented warehouse. Conclusions: Besides several mentioned management insights, this study includes several existing models as particular cases and tackles challenges in the analytical optimization approach. This study leads toward the consequences of future research scopes with industry-based raw data.

Suggested Citation

  • Alaa Fouad Momena & Rakibul Haque & Mostafijur Rahaman & Sankar Prasad Mondal, 2023. "A Two-Storage Inventory Model with Trade Credit Policy and Time-Varying Holding Cost under Quantity Discounts," Logistics, MDPI, vol. 7(4), pages 1-25, October.
    • Handle: RePEc:gam:jlogis:v:7:y:2023:i:4:p:77-:d:1269072
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    References listed on IDEAS

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    1. Taleizadeh, Ata Allah & Pentico, David W., 2014. "An Economic Order Quantity model with partial backordering and all-units discount," International Journal of Production Economics, Elsevier, vol. 155(C), pages 172-184.
    2. Giri, B. C. & Pal, S. & Goswami, A. & Chaudhuri, K. S., 1996. "An inventory model for deteriorating items with stock-dependent demand rate," European Journal of Operational Research, Elsevier, vol. 95(3), pages 604-610, December.
    3. Anubhav Namdeo & Uttam Kumar Khedlekar & Priyanka Singh, 2020. "Discount pricing policy for deteriorating items under preservation technology cost and shortages," Journal of Management Analytics, Taylor & Francis Journals, vol. 7(4), pages 649-671, October.
    4. Chandra K. Jaggi & Prerna Gautam & Aditi Khanna, 2018. "Inventory Decisions for Imperfect Quality Deteriorating Items with Exponential Declining Demand Under Trade Credit and Partially Backlogged Shortages," Springer Proceedings in Business and Economics, in: P.K. Kapur & Uday Kumar & Ajit Kumar Verma (ed.), Quality, IT and Business Operations, pages 213-229, Springer.
    5. Mrudul Y. Jani & Heta A. Patel & Amrita Bhadoriya & Urmila Chaudhari & Mohamed Abbas & Malak S. Alqahtani, 2023. "Deterioration Control Decision Support System for the Retailer during Availability of Trade Credit and Shortages," Mathematics, MDPI, vol. 11(3), pages 1-27, January.
    6. Ferguson, Mark & Jayaraman, Vaidy & Souza, Gilvan C., 2007. "Note: An application of the EOQ model with nonlinear holding cost to inventory management of perishables," European Journal of Operational Research, Elsevier, vol. 180(1), pages 485-490, July.
    7. 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.
    8. Nouira, Imen & Frein, Yannick & Hadj-Alouane, Atidel B., 2014. "Optimization of manufacturing systems under environmental considerations for a greenness-dependent demand," International Journal of Production Economics, Elsevier, vol. 150(C), pages 188-198.
    9. Asim Paul & Magfura Pervin & Sankar Kumar Roy & Nelson Maculan & Gerhard-Wilhelm Weber, 2022. "A green inventory model with the effect of carbon taxation," Annals of Operations Research, Springer, vol. 309(1), pages 233-248, February.
    10. Chaitanyakumar N. Rapolu & Deepa H. Kandpal, 2020. "Joint pricing, advertisement, preservation technology investment and inventory policies for non-instantaneous deteriorating items under trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 57(2), pages 274-300, June.
    11. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    12. Chen, Liang-Hsuan & Kang, Fu-Sen, 2010. "Integrated inventory models considering the two-level trade credit policy and a price-negotiation scheme," European Journal of Operational Research, Elsevier, vol. 205(1), pages 47-58, August.
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