随机需求下双渠道供应链库存动态交互优化

doi:10.11772/j.issn.1001-9081.2019122225

计算机应用 ›› 2020, Vol. 40 ›› Issue (9): 2754-2761.DOI: 10.11772/j.issn.1001-9081.2019122225

• 应用前沿、交叉与综合 • 上一篇下一篇

随机需求下双渠道供应链库存动态交互优化

赵川¹, 苗丽叶¹, 杨浩雄¹, 何明珂²

1. 北京工商大学商学院, 北京 100048;
2. 北京物资学院物流学院, 北京 101100

收稿日期:2020-01-05 修回日期:2020-02-28 出版日期:2020-09-10 发布日期:2020-03-30
通讯作者: 苗丽叶
作者简介:赵川(1988-),男,北京人,副教授,博士,主要研究方向:供应链管理、控制理论与应用;苗丽叶(1995-),女,河南南阳人,硕士研究生,主要研究方向:库存管理;杨浩雄(1974-),男,湖南长沙人,教授,博士,主要研究方向:供应链管理、库存管理;何明珂(1962-),男,湖北公安人,教授,博士,主要研究方向:物流管理、库存管理。
基金资助:
国家自然科学基金青年科学基金资助项目（71901004）；北京市哲学社会科学项目（18GLC085）。

Interactive dynamic optimization of dual-channel supply chain inventory under stochastic demand

ZHAO Chuan¹, MIAO Liye¹, YANG Haoxiong¹, HE Mingke²

1. Business School, Beijing Technology and Business University, Beijing 100048, China;
2. School of Logistics, Beijing Wuzi University, Beijing 101100, China

Received:2020-01-05 Revised:2020-02-28 Online:2020-09-10 Published:2020-03-30
Supported by:
This work is partially supported by the Youth Program of the National Natural Science Foundation of China (71901004), the Beijing Philosophy and Social Science Project (18GLC085).

摘要/Abstract

摘要： 针对双渠道供应链库存系统导致的缺货与库存积压等问题，在线上线下均为随机需求的条件下，考虑生产延迟和物流延迟，建立了双渠道库存的单独控制、集中控制和交叉补货控制这三种模式的动态优化模型。首先，以库存动态微分方程为基础，创新性地以控制理论为指导思想，以泰勒展开和拉普拉斯变换为手段，得到双渠道库存系统的反馈传递函数；其次，考虑了交叉补货的进销存过程中的周期间交互、上下游间交互以及渠道间交互，利用延迟控制、反馈控制和比例-积分-微分（PID）控制构造了双输入、双输出的复杂交互系统，以此寻求双渠道库存系统自身以及渠道间的动态供需双平衡，优化双渠道库存持有量，降低缺货次数和缺货量并使其保持动态稳定状态；最后，通过数值仿真实验，对比三种双渠道库存控制策略。仿真结果表明，在线上线下渠道为不同分布的随机需求时，交叉补货控制的剩余库存比独立库存控制降低了4.9%，交叉补货控制的缺货率与独立控制和集中控制相比分别下降了66.7%和60%。实验结果表明，在线上线下渠道为不同分布的随机需求的情况下使用双渠道交叉补货策略能很好地降低库存持有量，减少缺货次数和缺货量，从而节约库存成本。

关键词: 双渠道供应链, 库存优化, 控制理论, 交叉补货, 动态平衡

Abstract: Considering the problem of out-of-stock and inventory overstock caused by dual-channel supply chain inventory system, three dynamic optimization models of three modes: single control, centralized control and cross-replenishment control of dual-channel inventory were established under the condition that both online and offline channels are facing stochastic demand. Firstly, based on the dynamic differential equation of inventory, guided by the control theory creatively, and by means of Taylor expansion and Laplace transformation, the feedback transfer function of dual-channel inventory system was obtained. Secondly, considering the periodic interactions, upstream and downstream interactions and inter-channel interactions in the process of cross-replenishment’s purchase-sale-stock, delay control, feedback control and Proportion-Integral-Derivative (PID) control were used to construct a complex interactive system with two inputs and two outputs, so as to explore the dynamic balance between supply and demand of the dual-channel inventory system itself and among channels, optimize the dual-channel inventory holdings, reduce the out-of-stock times and amount and keep them to a dynamic equilibrium. Finally, through numerical simulation experiments, three dual-channel inventory control strategies were compared. The simulation results show that when on online and offline channels were facing different distributions of stochastic demand, the residual stock of cross-replenishment control decreased by 4.9% compared with that of single control, and the out-of-stock rate of cross-replenishment control decreased by 66.7% and 60% respectively compared those of single control and centralized control. The experimental results show that when online and offline channels are facing different distributions of stochastic demand, the use of cross-replenishment strategy can effectively reduce inventory holdings, reduce the times and amount of out-of-stock, and thus save the inventory costs.

Key words: dual-channel supply chain, inventory optimization, control theory, cross-replenishment, dynamic equilibrium

中图分类号:

TP311.1

赵川, 苗丽叶, 杨浩雄, 何明珂. 随机需求下双渠道供应链库存动态交互优化[J]. 计算机应用, 2020, 40(9): 2754-2761.

ZHAO Chuan, MIAO Liye, YANG Haoxiong, HE Mingke. Interactive dynamic optimization of dual-channel supply chain inventory under stochastic demand[J]. Journal of Computer Applications, 2020, 40(9): 2754-2761.

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随机需求下双渠道供应链库存动态交互优化

Interactive dynamic optimization of dual-channel supply chain inventory under stochastic demand

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