The Mathematical Model for Optimizing Accounts Receivable Financing in Production Planning: A Solution to Enhance Liquidity and Mitigate Financial Risks

Subject Areas : Finance

Seyed Javad Iranban ¹ , Ahmad Nayeri ² , Peyman Ghafari Ashtiani ³ , Habibollah Javanmard ⁴

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Received: 2025-02-03 Accepted : 2025-05-09 Published : 2025-09-25

Keywords: Accounts Receivable Financing, Liquidity Optimization, Inventory Management, Production Planning, Financial Risk Mitigation, Mathematical Modeling,

Abstract :

Efficient management of liquidity and inventory is a critical challenge in production planning, especially for organizations aiming to optimize financial performance while mitigating risks. This study introduces a novel mathematical model that integrates accounts receivable financing into production planning. Unlike traditional models, our approach explicitly incorporates parameters such as cash inflows, advance payments, and bank discount rates, while addressing constraints related to liquidity, inventory balance, and credit limits. The objective function is designed to maximize liquidity at the end of the planning horizon, ensuring financial stability and operational efficiency.

The model employs advanced optimization techniques, including linear and nonlinear programming, to provide actionable insights for decision-makers. Sensitivity analyses highlight its adaptability to dynamic market conditions, such as demand fluctuations and interest rate changes. The results demonstrate the model’s potential to reduce financial risks, improve cash flow, and optimize resource allocation across periods. This work serves as a practical framework for managers in diverse industries, offering a comprehensive solution to production planning challenges. Limitations and future research opportunities are also discussed to inspire further advancements

References:

[1] Yan, B., Chen, Z., Yan, C., Zhang, Z., & Kang, H. (2024). Evolutionary multiplayer game analysis of accounts receivable financing based on supply chain financing. International Journal of Production Research, 62(22), 8110-8128.

[2] Zhu, X., Cao, Y., Wu, J., Liu, H., & Bei, X. (2022). Optimum operational schedule and accounts receivable financing in a production supply chain considering hierarchical industrial status and uncertain yield. European Journal of Operational Research, 302(3), 1142-1154.

[3] Zhang, Q., Yang, D., & Qin, J. (2023). Multi-Party evolutionary game analysis of accounts receivable financing under the application of central bank digital currency. Journal of Theoretical and Applied Electronic Commerce Research, 18(1), 394-415.

[4] Zhao, S., & Lu, X. (2023). Guarantee Mechanism in Accounts Receivable Financing with Demand Uncertainty. Sustainability, 15(3), 2192.

[5] Zhao, S., & Lu, X. (2021, May). Accounts receivable financing and supply chain coordination under the government subsidy. In 2021 11th International Conference on Information Science and Technology (ICIST) (pp. 477-484). IEEE.

[6] Zeng, G., & Geng, C. (2022). A Game Study on Accounts Receivable Financing in Energy Conservation and Environmental Protection Manufacturing Supply Chain under Green Development. Polish Journal of Environmental Studies, 31(2).

[7] Yang, L. (2024). Blockchain-Driven Account Receivable Financing Coordination Strategies. IEEE Access.

[8] Feng, S. (2023). New Regulations on Receivables Financing in the Context of Supply Chain Finance. Tsinghua China L. Rev., 16, 157.

[9] Xia, Y. Y. (2022). A Study on Evolution Game of Accounts Receivable Pledge Financing in Supply Chain Finance Model. Int. Bus. Res, 15, 39-46.

[10] Li, M., Li, C., Duan, M., Hou, W., & Pan, X. (2024). Analysis of the alleviating effect of accounts receivable pledge financing on financing constraints. Finance Research Letters, 70, 106311.

[11] Cheng, Y., Wen, F., Wang, Y., & Olson, D. L. (2023). Who should finance the supply chain? Impact of accounts receivable mortgage on supply chain decision. International Journal of Production Economics, 261, 108874.

[12] Ma, S., Qian, Q., Wang, G., & Xu, M. (2023, July). Research on Smart Contracts of Accounts Receivable Financing in Supply Chain Finance Based on Blockchain Technology. In 2023 4th International Conference on E-Commerce and Internet Technology (ECIT 2023) (pp. 306-325). Atlantis Press.

[13] Mendoza, R. L. BENEFITS AND COSTS OF FINANCING ACCOUNTS RECEIVABLE PORTFOLIOS IN THE HEALTHCARE INDUSTRY. In BUSINESS FORUM (Vol. 29, No. 1, p. 3

[14] He, J., Li, Z., Ren, J., & Xue, Q. A Certification Scheme for Realizing the Value of Future Accounts Receivable Claims. Jun and Xue, Qian, A Certification Scheme for Realizing the Value of Future Accounts Receivable Claims.

[15] Cano, D. B. C., Cruz, J. P. L., & Rodriguez, V. H. P. (2022). Accounts receivable in liquidity: case Oil & Lam EIRL 2018-2020, Peru. Sapienza: International Journal of Interdisciplinary Studies, 3(2), 836-853.

[16] Wang, B. (2023, July). Evolutionary Game Analysis of Supply Chain Finance Receivables Financing for Financial Institutions and SMEs Considering Blockchain. In Proceedings of the 2nd International Conference on Bigdata Blockchain and Economy Management, ICBBEM 2023, May 19–21, 2023, Hangzhou, China.

[17] Wang, C. (2024, April). Research on Receivables Financing Model in Supply Chain Finance Based on Blockchain Technology. In Proceedings of the 5th Management Science Informatization and Economic Innovation Development Conference, MSIEID 2023, December 8–10, 2023, Guangzhou, China.

[18] Mittal, S. (2022). Accounts Receivable and Payable Interrelationships: Evidence from Indian Small Cap Companies. Ramanujan International Journal of Business and Research, 7(1), 21-30.