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A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging

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  • Bhunia, A.K.
  • Jaggi, Chandra K.
  • Sharma, Anuj
  • Sharma, Ritu

Abstract

This paper deals with an inventory model for single deteriorating item with two separate warehouses (one is OW and other is RW) having different preserving facilities. Demand is assumed to be known and constant. Shortages are allowed and partially backlogged with a rate dependent on the duration of waiting time up to the arrival of next lot. Here, we have considered the permissible delay in payments. However, the model formulation is different rather than that of existing models. Accordingly, several realistic cases, sub cases and scenarios have been taken into account and the corresponding problems have been formulated as non-linear constrained optimization problems along with the solution procedure. Further, to illustrate the model and also to test the validity of the same, two numerical examples have been solved. Finally, considering first example, sensitivity analyses have been performed to study the effects of changes of different parameters, like demand, ordering cost and own warehouse capacity on optimal policies.

Suggested Citation

  • Bhunia, A.K. & Jaggi, Chandra K. & Sharma, Anuj & Sharma, Ritu, 2014. "A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1125-1137.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:1125-1137
    DOI: 10.1016/j.amc.2014.01.115
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    3. Motla, Ritu & Kumar, Ashok & Saxena, Neha & Sana, Shib Sankar, 2023. "Inventory optimization in a green environment with two warehouses," Innovation and Green Development, Elsevier, vol. 2(4).
    4. Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable partial backordering inventory model under linked-to-order credit policy and all-units discount with capacity constraint and carbon emissions," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 896-944, September.
    5. Beatrice Marchi & Lucio E. Zavanella & Simone Zanoni, 2023. "Supply chain finance for ameliorating and deteriorating products: a systematic literature review," Journal of Business Economics, Springer, vol. 93(3), pages 359-388, April.
    6. M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    7. Mohsen Lashgari & Ata Allah Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    8. Md. Al-Amin Khan & Ali Akbar Shaikh & Gobinda Chandra Panda & Asoke Kumar Bhunia & Ioannis Konstantaras, 2020. "Non-instantaneous deterioration effect in ordering decisions for a two-warehouse inventory system under advance payment and backlogging," Annals of Operations Research, Springer, vol. 289(2), pages 243-275, June.
    9. Mohsen Lashgari & Ata Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    10. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal ordering policy under order-size dependent trade credit and complete backlogging derived algebraically," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 420-444, March.
    11. Gudivada Durga Bhavani & Ieva Meidute-Kavaliauskiene & Ghanshaym S. Mahapatra & Renata Činčikaitė, 2022. "Pythagorean Fuzzy Storage Capacity with Controllable Carbon Emission Incorporating Green Technology Investment on a Two-Depository System," Energies, MDPI, vol. 15(23), pages 1-34, November.
    12. Sachin Kumar Rana & Amit Kumar, 2024. "Two-Warehouse Inventory Control for Deteriorating Items Using Hybrid and Stock-Dependent Demand with Partial Backlogging," SN Operations Research Forum, Springer, vol. 5(4), pages 1-18, December.
    13. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.

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