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Journal of Information and Optimization Sciences cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

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Open Access Research Article

Inventory optimization for deteriorating goods with dynamic demand and deferred payment options

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pp. 1525–1537Vol. 47Issue 4April 2026DOI: 10.47974/JIOS-2174XML
Received:
01 Nov 2025
Published Online:
04 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIOS-2174
Pages:
1525–1537

Abstract

This research study creates an inventory model for degrading products that considers the trade credit and also realistic market characteristics like advertising-motivated initial demand and unstable holding costs. The demand is characterized by a two-phase nonlinear ramp, where the sales initiate at a positive level because of advertising, grow over time until achieving a maximum, and subsequently stabilize throughout the product’s lifespan. To account for varying market conditions, three scenarios are examined: when the credit period is less than the demand peak, when it exceeds that point, and when it goes beyond the product’s total lifespan. Numerical cases are employed to evaluate the results of these situations and to define the issue as a nonlinear constrained optimization. The results that can assist companies in handling deteriorating goods stock more efficiently within trade credit agreements.

Keywords

Subject Classifications

90B05

References

[1] S. P. Aggarwal and C. K. Jaggi, “Ordering policies of deteriorating items under permissible delay in payments,” Journal of the Operational Research Society, vol. 46, no. 5, pp. 658–662 (1995).
[2] A. M. M. Jammal, B. R. Sarker, and S. Wang, “An ordering policy for deteriorating items with allowable shortage and permissible delay in payment,” Journal of the Operational Research Society, vol. 48, no. 8, pp. 826–833 (1997).
[3] B. R. Sarker, A. M. M. Jammal, and S. Wang, “Optimal payment time under permissible delay in payment for products with deterioration,” Production Planning & Control, vol. 11, no. 4, pp. 380–390 (2000).
[4] C. K. Jaggi, S. K. Goyal, and S. K. Goel, “Retailer’s optimal replenishment decisions with credit-linked demand under permissible delay in payments,” European Journal of Operational Research, vol. 190, no. 1, pp. 130–135 (2008).
[5] T. Singh and H. Pattnayak, “An EOQ model for a deteriorating item with time dependent quadratic demand and variable deterioration under permissible delay in payment,” Applied Mathematical Sciences, vol. 7, no. 59, pp. 2939–2951 (2013).
[6] Y. Shi, Z. Zhang, and F. Zhou, “Optimal ordering policies for a single deteriorating item with ramp-type demand rate under permissible delay in payments,” Journal of the Operational Research Society, vol. 70, no. 10, pp. 1848–1868 (2019).
[7] T. Singh, M. M. Muduly, N. Asmita, C. Mallick, and H. Pattanayak, “A note on an economic order quantity model with time-dependent demand, three-parameter Weibull distribution deterioration and permissible delay in payment,” Journal of Statistics and Management Systems, vol. 23, no. 3, pp. 643–662 (2020).
[8] B. Mondal, A. Garai, and T. K. Roy, “Optimization of generalized order-level inventory system under fully permissible delay in payment,” RAIRO-Operations Research, vol. 55, pp. S195–S224 (2021).
[9] P. Saranya and E. Chandrasekaran, “Optimal inventory system for deteriorated goods with time-varying demand rate function and advertisement cost,” Array, vol. 19, pp. 100307 (2023).
[10] S. Palanivelu and E. Chandrasekaran, “Comparative Analysis of Inventory Management System with Two-Phase Time-dependent Demand and Shortages under Tolerable Slack of Payment for Deteriorating Goods,” Journal of Advanced Research in Applied Sciences and Engineering Technology, vol. 34, no. 1, pp. 116–132 (2024).
[11]     A. Dubey and R. Kumar, “Inventory model with sensitivity analysis under uncertain environment,” J. Inf. Optim. Sci., vol. 45, no. 4, pp. 1081–1092 (2024).
[12] M. N. Pratyusha and R. Kumar, “Solving neutrosophic critical path problem using Python,” J. Inf. Optim. Sci., vol. 45, no. 4, pp. 897–911 (2024).
[13] S. K. Tripathi and R. Kumar, “Solving neutrosophic minimal cost flow problem using multi-objective linear programming problem,” J. Inf. Optim. Sci., vol. 45, pp. 1093–1104 (2024).
[14] C.-H. Chen and T.-H. Lee, “Process variance setting and quality investment selection for modified traditional inventory model,” Journal of Statistics & Management Systems, vol. 27, no. 8, pp. 1683–1689 (2024).

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