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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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    1. Sana, Shib Sankar & Chaudhuri, K.S., 2008. "A deterministic EOQ model with delays in payments and price-discount offers," European Journal of Operational Research, Elsevier, vol. 184(2), pages 509-533, January.
    2. Charles W. Haley & Robert C. Higgins, 1973. "Inventory Policy and Trade Credit Financing," Management Science, INFORMS, vol. 20(4-Part-I), pages 464-471, December.
    3. Maiti, Manas Kumar, 2008. "Fuzzy inventory model with two warehouses under possibility measure on fuzzy goal," European Journal of Operational Research, Elsevier, vol. 188(3), pages 746-774, August.
    4. Chandra K. Jaggi & K.K. Aggarwal & Priyanka Verma, 2010. "Inventory and pricing strategies for deteriorating items with limited capacity and time-proportional backlogging rate," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 8(3), pages 331-354.
    5. Chandra Jaggi & Priyanka Verma, 2008. "Joint optimization of price and order quantity with shortages for a two-warehouse system," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 195-213, July.
    6. Abad, P. L. & Jaggi, C. K., 2003. "A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive," International Journal of Production Economics, Elsevier, vol. 83(2), pages 115-122, February.
    7. Liao, Jui-Jung, 2008. "An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit," International Journal of Production Economics, Elsevier, vol. 113(2), pages 852-861, June.
    8. Huang, Yung-Fu, 2007. "Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1577-1591, February.
    9. Ho, Chia-Huei & Ouyang, Liang-Yuh & Su, Chia-Hsien, 2008. "Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit," European Journal of Operational Research, Elsevier, vol. 187(2), pages 496-510, June.
    10. Chandra K. Jaggi & Priyanka Verma, 2010. "Two-warehouse inventory model for deteriorating items with linear trend in demand and shortages under inflationary conditions," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 3(1), pages 54-71.
    11. Huang, Yung-Fu, 2007. "Economic order quantity under conditionally permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 176(2), pages 911-924, January.
    12. Niu, Bo & Xie, Jinxing, 2008. "A note on "Two-warehouse inventory model with deterioration under FIFO dispatch policy"," European Journal of Operational Research, Elsevier, vol. 190(2), pages 571-577, October.
    13. Chandra Jaggi & Aditi Khanna & Priyanka Verma, 2011. "Two-warehouse partial backlogging inventory model for deteriorating items with linear trend in demand under inflationary conditions," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1185-1196.
    14. Chung, Kun-Jen & Huang, Tien-Shou, 2007. "The optimal retailer's ordering policies for deteriorating items with limited storage capacity under trade credit financing," International Journal of Production Economics, Elsevier, vol. 106(1), pages 127-145, March.
    15. Hsieh, Tsu-Pang & Dye, Chung-Yuan & Ouyang, Liang-Yuh, 2008. "Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value," European Journal of Operational Research, Elsevier, vol. 191(1), pages 182-192, November.
    16. Huang, Yung-Fu & Hsu, Kuang-Hua, 2008. "An EOQ model under retailer partial trade credit policy in supply chain," International Journal of Production Economics, Elsevier, vol. 112(2), pages 655-664, April.
    17. Lee, Chun Chen & Hsu, Shu-Lu, 2009. "A two-warehouse production model for deteriorating inventory items with time-dependent demands," European Journal of Operational Research, Elsevier, vol. 194(3), pages 700-710, May.
    18. Dey, Jayanta Kumar & Mondal, Shyamal Kumar & Maiti, Manoranjan, 2008. "Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money," European Journal of Operational Research, Elsevier, vol. 185(1), pages 170-194, February.
    19. Chandra K. Jaggi & Amrina Kausar, 2011. "Retailer’s Ordering Policy in a Supply Chain when Demand is Price and Credit Period Dependent," International Journal of Strategic Decision Sciences (IJSDS), IGI Global, vol. 2(4), pages 61-74, October.
    20. Rong, M. & Mahapatra, N.K. & Maiti, M., 2008. "A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time," European Journal of Operational Research, Elsevier, vol. 189(1), pages 59-75, August.
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    2. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    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. 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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