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Article

Pricing Optimization for Inventory with Integrated Storage and Credit Constraints

1
Department of Intelligent Technology and Application, Hung Kuang University, Shalu District, Taichung City 433304, Taiwan
2
Department of Statistics and Data Science, Tamkang University, Tamsui District, New Taipei City 251301, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(1), 163; https://doi.org/10.3390/math14010163
Submission received: 24 September 2025 / Revised: 23 December 2025 / Accepted: 24 December 2025 / Published: 31 December 2025
(This article belongs to the Special Issue Modeling and Optimization in Supply Chain Management)

Abstract

Price is a pivotal determinant of market demand, as higher prices typically reduce sales while lower prices stimulate them. Thus, incorporating price-dependent demand into inventory models is both realistic and necessary. In practice, limited storage capacity often forces retailers to rent additional space, motivating the adoption of two-warehouse systems. Trade credit also plays a critical role in supply chain management: suppliers may offer cash discounts or deferred payments to encourage larger orders, while retailers extend credit to customers to boost sales. To reduce default risk, however, retailers usually provide only partial credit. Considering the time value of money, costs and profits are assessed using discounted cash-flow analysis to account for payment delays and inflation. This study develops an integrated supplier–retailer–customer chain model that (1) incorporates price-dependent demand, (2) includes a rented warehouse for limited storage, (3) considers partial trade credit, (4) links two-level trade credit terms to order quantity, and (5) evaluates financial performance on a present-value basis. The model aims to maximize total profit by determining optimal price, replenishment cycle, and order quantity. Numerical and sensitivity analyses confirm that extending supplier credit can lower prices and improve overall profitability, offering useful insights for strategic inventory management.
Keywords: pricing; storage capacity; partial trade credit; deterioration; discounted cash flow; MSC: 90B06 pricing; storage capacity; partial trade credit; deterioration; discounted cash flow; MSC: 90B06

Share and Cite

MDPI and ACS Style

Yang, H.-L.; Chang, C.-T.; Tseng, Y.-T. Pricing Optimization for Inventory with Integrated Storage and Credit Constraints. Mathematics 2026, 14, 163. https://doi.org/10.3390/math14010163

AMA Style

Yang H-L, Chang C-T, Tseng Y-T. Pricing Optimization for Inventory with Integrated Storage and Credit Constraints. Mathematics. 2026; 14(1):163. https://doi.org/10.3390/math14010163

Chicago/Turabian Style

Yang, Hui-Ling, Chun-Tao Chang, and Yao-Ting Tseng. 2026. "Pricing Optimization for Inventory with Integrated Storage and Credit Constraints" Mathematics 14, no. 1: 163. https://doi.org/10.3390/math14010163

APA Style

Yang, H.-L., Chang, C.-T., & Tseng, Y.-T. (2026). Pricing Optimization for Inventory with Integrated Storage and Credit Constraints. Mathematics, 14(1), 163. https://doi.org/10.3390/math14010163

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