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International Transactions in Mathematical Sciences and ComputerJan-June 2025 Vol:18 Issue:1

Effect of Advance Payment and Trade Credit Policy on Supply Chain Inventory model for instantaneous deteriorating items under Inflation for Post Covid-19 Recovery

Abstract

The behavior, capital, priority, and payment policies for  supply chain players have been affected by the COVID-19 pandemic disaster. This research paper develops a mathematical model in which advanced and delayed payment policies are planned with price- and time-sensitively dependent demand under inflation for the post-COVID-19 recovery. This model also takes into account time-dependent deterioration, shortages, instantaneously deteriorating items, and partial backlogging. With the use of this model, retailers can reduce overall costs in various payment scenarios by determining the best replenishment cycle and order quantity. To keep orders moving from customers to retailers and retailers to suppliers throughout the financial crisis, we designed a partially advanced and delayed payment policy. We look at how advanced and late payments affect a retailer's overall costs. The application of this model is demonstrated by numerical examples, which are solved by MATHEMATICA 12.0. An investigation into the sensitivity of crucial parameters has been carried out to identify additional sensitive parameters that offer a precise depiction of the current issues.

Author

Mandeep Singh, Ravish Kumar Yadav, S.R. Singh, Dipti Singh   ( Pages 19-43 )
Email:drravishyadav@gmail.com
Affiliation: Department of Mathematics, Hindu College Moradabad ,Uttar Pradesh ,India       DOI:

Keyword

Covid-19, Inventory, Advance and delay-in-payment, Deteriorating items, Inflation.

References

Aarya, D. D., Rajoria, Y. K., Gupta, N., Raghav, Y. S., Rathee, R., Boadh, R., & Kumar, A. (2022). Selling price, time dependent demand and variable holding cost inventory model with two storage facilities. Materials Today: Proceedings56, 245-251.

Adak, S., & Mahapatra, G. S. (2018). An inventory model of flexible demand for price, stock and reliability with deterioration under inflation incorporating delay in payment. Journal of mechanics of continua and Mathematical Sciences13(5), 127-142.

Bhunia, A. K., Jaggi, C. K., Sharma, A., & Sharma, R. (2014). A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging. Applied Mathematics and Computation232, 1125-1137.

Bierman Jr, H., & Thomas, J. (1977). Inventory decisions under inflationary conditions. Decision Sciences8(1), 151-155.

Buzacott, J. A. (1975). Economic order quantities with inflation. Journal of the Operational Research Society26(3), 553-558.

Chandra, S. (2020). Two warehouse inventory model for deteriorating items with stock dependent demand under permissible delay in payment. J. Math. Comput. Sci.10(4), 1131-1149.

Chung, K. J., & Huang, Y. F. (2003). The optimal cycle time for EPQ inventory model under permissible delay in payments. International Journal of Production Economics84(3), 307-318.

Debata, S., & Acharya, M. (2017). An inventory control for non-instantaneous deteriorating items with non-zero lead time and partial backlogging under joint price and time dependent demand. International Journal of Applied and Computational Mathematics3(2), 1381-1393.

Duary, A., Das, S., Arif, M. G., Abualnaja, K. M., Khan, M. A. A., Zakarya, M., & Shaikh, A. A. (2022). Advance and delay in payments with the price-discount inventory model for deteriorating items under capacity constraint and partially backlogged shortages. Alexandria Engineering Journal61(2), 1735-1745.

Esmaeili, M., & Nasrabadi, M. (2021). An inventory model for single-vendor multi-retailer supply chain under inflationary conditions and trade credit. Journal of Industrial and Production Engineering38(2), 75-88.

Gupta, V., & Chutani, A. (2020). Supply chain financing with advance selling under disruption. International Transactions in Operational Research27(5), 2449-2468.

Handa, N., Singh, S. R., & Punetha, N. (2021). Impact of inflation on production inventory model with variable demand and shortages. In Decision Making in Inventory Management (pp. 37-48). Singapore: Springer Singapore.

Hariga, M. A. (1994). Economic analysis of dynamic inventory models with non-stationary costs and demand. International Journal of Production Economics36(3), 255-266.

Harris, F. W. (1990). How many parts to make at once. Operations research38(6), 947-950.

Hossen, M. A. (2022). Impact of inflation and advertisement dependent demand in an inventory system. Journal of the Calcutta Mathematical Society18(1), 69-78.

Hossen, M. A., Hakim, M. A., Ahmed, S. S., & Uddin, M. S. (2016). An inventory model with price and time dependent demand with fuzzy valued inventory costs under inflation. Annals of Pure and Applied Mathematics11(2), 21-32.

Jayanthi, J. (2024). An EOQ model under the condition of permissible delay in payments with allowed stock-out cost and lead time. Contemporary Mathematics, 628-644.

Kaushik, J. (2023). An inventory model with permissible delay in payment and different interest rate charges. Decision Analytics Journal6, 100180.

Khan, M. A. A., Shaikh, A. A., Panda, G. C., & Konstantaras, I. (2019). Two-warehouse inventory model for deteriorating items with partial backlogging and advance payment scheme. RAIRO-operations Research53(5), 1691-1708.

Khan, M. A. A., Shaikh, A. A., Panda, G. C., Konstantaras, I., & Cárdenas‐Barrón, L. E. (2020). The effect of advance payment with discount facility on supply decisions of deteriorating products whose demand is both price and stock dependent. International Transactions in Operational Research27(3), 1343-1367.

Kharidar, F., Kazemi, M., Pooya, A., & Saghih, A. M. F. (2023). A pricing and inventory control for perishable items with the inflation rate and retailer's returns. International Journal of Mathematics in Operational Research25(4), 548-569.

Kumar, A., Yadav ,A. S., and Yadav , D.(2024). A two-storage production inventory model for deteriorating items with time and selling price dependent demand using flower pollination optimization. Journal of Research Administration, 6(1) .

Kumar, V., Singh, S. R., & Sharma, S. (2010). Profit maximization production inventory models with time dependent demand and partial backlogging. International Journal1(2), 367-375.

Lashgari, M., Taleizadeh, A. A., & Ahmadi, A. (2016). Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain. Annals of Operations Research238(1), 329-354.

Li, R., Chan, Y. L., Chang, C. T., & Cárdenas-Barrón, L. E. (2017). Pricing and lot-sizing policies for perishable products with advance-cash-credit payments by a discounted cash-flow analysis. International Journal of Production Economics193, 578-589.

Liang, Y., & Zhou, F. (2011). A two-warehouse inventory model for deteriorating items under conditionally permissible delay in payment. Applied Mathematical Modelling35(5), 2221-2231.

Liao, H. C., Tsai, C. H., & Su, C. T. (2000). An inventory model with deteriorating items under inflation when a delay in payment is permissible. International Journal of Production Economics63(2), 207-214.

Mashud, A. H. M., Roy, D., Daryanto, Y., Chakrabortty, R. K., & Tseng, M. L. (2021). A sustainable inventory model with controllable carbon emissions, deterioration and advance payments. Journal of Cleaner Production296, 126608.

Mathur, P., Malik, A. K., & Kumar, S. (2019, August). An inventory model with variable demand for non-instantaneous deteriorating products under the permissible delay in payments. In IOP Conference Series: Materials Science and Engineering (Vol. 594, No. 1, p. 012042). IOP Publishing.

Mondal, B., Garai, A., & Roy, T. K. (2021). Optimization of generalized order-level inventory system under fully permissible delay in payment. RAIRO-Operations Research55, S195-S224.

 

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