运筹与管理 ›› 2025, Vol. 34 ›› Issue (8): 8-14.DOI: 10.12005/orms.2025.0234

• 理论分析与方法探讨 • 上一篇    下一篇

考虑再制造过程创新的资金约束制造商的融资决策研究

马鹏1, 袁琴1, 曹杰2   

  1. 1.南京信息工程大学 管理工程学院,江苏 南京 210044;
    2.徐州工程学院 淮海经济区高质量发展研究院,江苏 徐州 221018
  • 收稿日期:2022-12-28 发布日期:2025-12-04
  • 通讯作者: 马鹏(1981-),男,河南桐柏人,博士,教授,研究方向:供应链管理。Email: mapeng88@126.com。
  • 基金资助:
    国家社会科学基金资助项目(22BGL115)

Financing Decisions of Capital-constrained Manufacturer ConsideringProcess Innovation for Remanufacturing

MA Peng1, YUAN Qin1, CAO Jie2   

  1. 1. School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    2. High-quality Development Research Institute of Huaihai Economic Zone, Xuzhou University of Technology, Xuzhou 221018, China
  • Received:2022-12-28 Published:2025-12-04

摘要: 双碳目标驱动下,再制造不仅可以减少碳排放,还可降本增效。因此制造商对二手产品进行回收再制造,并通过再制造过程创新投资降低可变成本,但同时生产两种产品的成本太高,制造商可能会面临资金短缺的情况。因此,本文基于再制造过程创新投入,考虑无资金约束和存在资金约束进而采取银行融资和零售商融资的三个模型,利用Kuhn-Tucker条件求解,得到制造商采取无再制造、部分再制造、全部再制造策略下制造商和零售商的最优决策及期望利润。研究表明,在银行融资情形下,银行的最优利率应为无风险利率;在银行融资和零售商融资情形下,全部再制造时二者的期望利润最高,因此制造商有进行再制造的动机;与直觉相反的是,在零售商融资下零售商的期望利润随零售商利率的升高而减少,制造商的期望利润随零售商利率升高而增加;从整体而言,无论制造商选择哪种再制造策略,制造商更偏好零售商融资,而零售商更偏好银行融资。随着再制造过程创新水平的提高,两种融资情形下制造商的期望利润随之减少,但零售商的期望利润随之增加。最后,通过数值仿真进一步验证了结论。

关键词: 供应链金融, 再制造过程创新, 资金约束, 融资决策

Abstract: Driven by the carbon peak and carbon neutrality goals, remanufacturing can not only reduce carbon emissions but also reduce costs and increase profits. Therefore, manufacturers collect and remanufacture used products, and reduce the unit variable cost of the remanufactured product through process innovation for remanufacturing to increase their economic benefits. A series of initial investments, designs, and work in the phase of making used products easy to be collected and reducing unit remanufacturing costs are called process innovation for remanufacturing. For example, Fuji Xerox intentionally has added a disassembly design during the design and production of the copier to ensure that the collected products could be reused and remanufactured as much as possible, thereby significantly saving the remanufacturing cost. These designs do not increase the production costs of new products, but bring great convenience to the collection and remanufacturing of second-hand products. However, if manufacturers choose to remanufacture themselves, they need to consider both producing new products and remanufacturing products, which requires significant funds and investment in equipment. The manufacturer may have insufficient funds and difficulties in completing retailers’ orders, thereby affecting the better development of the supply chain. Therefore, our research is motivated by how a capital-constrained manufacturer chooses the optimal financing modes under process innovation for remanufacturing and different remanufacturing strategies.
Based on the process innovation for remanufacturing, we consider three manufacturer-led Stackelberg game models: one without financing, another with bank financing, and still another with retailer financing. The manufacturer can adopt three different remanufacturing strategies: a strategy without remanufacturing, one with partial remanufacturing, and one with full remanufacturing. We use the Kuhn-Tucker conditions in nonlinear programming to solve the three models and obtain the optimal decisions and profits of the manufacturer and retailer in all three strategies of remanufacturing. Firstly, we consider a benchmark model for the manufacturer without capital constraint. By constructing the Lagrange function of the expected profit of the retailer, we use the Kuhn-Tucker conditions to obtain the optimal response function of the retailer. Then, according to the retailer’s response functions, we again construct the Lagrange function of the manufacturer’s expected profit function and obtain the optimal decisions and profits of the manufacturer and the retailer under the three remanufacturing strategies. Then, considering that the manufacturer has financial constraints, we construct the game models under two scenarios: one with bank financing and the other with retailer financing. Similarly, the optimal equilibrium solutions and profits of both parties in the supply chain under three different remanufacturing strategies are obtained based on the Kuhn-Tucker conditions. On this basis, we analyze the optimal financing strategies of the manufacturer and the financing preferences of the retailer and we verify the conclusions through numerical simulations. Furthermore, we further analyze the impact of the innovation level in process innovation for remanufacturing on the expected profits of the manufacturer and the retailer.
These results indicate that: (1)In the case of bank financing, the optimal interest rate of the bank should be the risk-free rate. (2)Under the bank financing and retailer financing modes, the manufacturer and retailer without remanufacturing strategy have the lowest expected profits and have the highest expected profits with full remanufacturing. Therefore, the capital-constrained manufacturer has an incentive to engage in remanufacturing. (3)Overall, regardless of which remanufacturing strategy the manufacturer adopts, the manufacturer prefers the retail financing mode in most cases, while the retailer prefers the bank financing. (4)As the level of process innovation for remanufacturing improves, the expected profits of the manufacturer in the bank financing and retailer financing modes decrease accordingly. In the full remanufacturing strategy, the manufacturer’s expected profits first increase and then decrease. What is more, the manufacturer’s expected profits under retail financing are always higher than those under bank financing.

Key words: supply chain finance, process innovation for remanufacturing, capital constraints, financing decisions

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