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Dynamic inventory control with limited capital and short‐term financing

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  • Xiting Gong
  • Xiuli Chao
  • David Simchi‐Levi

Abstract

For most firms, especially the small‐ and medium‐sized ones, the operational decisions are affected by their internal capital and ability to obtain external capital. However, the majority of the literature on dynamic inventory control ignores the firm's financial status and financing issues. An important question that arises is: what are the optimal inventory and financing policies for firms with limited internal capital and limited access to external capital? In this article, we study a dynamic inventory control problem where a capital‐constrained firm periodically purchases a product from a supplier and sells it to a market with random demands. In each period, the firm can use its own capital and/or borrow a short‐term loan to purchase the product, with the interest rate being nondecreasing in the loan size. The objective is to maximize the firm's expected terminal wealth at the end of the planning horizon. We show that the optimal inventory policy in each period is an equity‐level‐dependent base‐stock policy, where the equity level is the sum of the firm's capital level and the value of its on‐hand inventory evaluated at the purchasing cost; and the structure of the optimal policy can be characterized by four intervals of the equity level. Our results shed light on the dynamic inventory control for firms with limited capital and short‐term financing capabilities.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 184–201, 2014

Suggested Citation

  • Xiting Gong & Xiuli Chao & David Simchi‐Levi, 2014. "Dynamic inventory control with limited capital and short‐term financing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(3), pages 184-201, April.
  • Handle: RePEc:wly:navres:v:61:y:2014:i:3:p:184-201
    DOI: 10.1002/nav.21576
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    References listed on IDEAS

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    1. Xiaodong Xu & John R. Birge, 2006. "Equity valuation, production, and financial planning: A stochastic programming approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(7), pages 641-655, October.
    2. T. W. Archibald & L. C. Thomas & J. M. Betts & R. B. Johnston, 2002. "Should Start-up Companies Be Cautious? Inventory Policies Which Maximise Survival Probabilities," Management Science, INFORMS, vol. 48(9), pages 1161-1174, September.
    3. Lode Li & Martin Shubik & Matthew J. Sobel, 2013. "Control of Dividends, Capital Subscriptions, and Physical Inventories," Management Science, INFORMS, vol. 59(5), pages 1107-1124, May.
    4. Xiuli Chao & Jia Chen & Shouyang Wang, 2008. "Dynamic inventory management with cash flow constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(8), pages 758-768, December.
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    Cited by:

    1. Gongbing Bi & Lei Song & Yalei Fei, 2020. "Dynamic mixed-item inventory control with limited capital and short-term financing," Annals of Operations Research, Springer, vol. 284(1), pages 99-130, January.
    2. Kajjoune, Oussama & Aouam, Tarik & Zouadi, Tarik & Dairi, Meriem, 2021. "Dynamic lot-sizing with short-term financing and external deposits for a capital-constrained manufacturer," International Journal of Production Economics, Elsevier, vol. 242(C).
    3. Quansheng Lei & Zhelian Xu & Siqi Yang, 2019. "Research on Trade Credit and Bank Credit Based on Dynamic Inventory," Sustainability, MDPI, vol. 11(13), pages 1-29, June.
    4. Kajjoune, Oussama & Aouam, Tarik & Zouadi, Tarik & Ranjan, Ravi Prakash, 2023. "Dynamic lot-sizing in a two-stage supply chain with liquidity constraints and financing options," International Journal of Production Economics, Elsevier, vol. 258(C).
    5. Ke Fu & Xiting Gong & Vernon N. Hsu & Jiye Xue, 2021. "Dynamic Inventory Management with Inventory‐based Financing," Production and Operations Management, Production and Operations Management Society, vol. 30(5), pages 1313-1330, May.
    6. Yan, Nina & He, Xiuli & Liu, Ye, 2019. "Financing the capital-constrained supply chain with loss aversion: Supplier finance vs. supplier investment," Omega, Elsevier, vol. 88(C), pages 162-178.
    7. Deng, Sijing & Fu, Ke & Xu, Jiayan & Zhu, Kaijie, 2021. "The supply chain effects of trade credit under uncertain demands," Omega, Elsevier, vol. 98(C).
    8. Chen, Zhen & Rossi, Roberto, 2021. "A dynamic ordering policy for a stochastic inventory problem with cash constraints," Omega, Elsevier, vol. 102(C).
    9. Dan A. Iancu & Nikolaos Trichakis & Gerry Tsoukalas, 2017. "Is Operating Flexibility Harmful Under Debt?," Management Science, INFORMS, vol. 63(6), pages 1730-1761, June.
    10. Li, Tianyun & Fang, Weiguo & Baykal-Gürsoy, Melike, 2021. "Two-stage inventory management with financing under demand updates," International Journal of Production Economics, Elsevier, vol. 232(C).

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