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Game model of secondary distribution network led by agricultural manufacturer
LIU Xiaohua, LIANG Xuechun
College of Automation and Electrical Engineering, Nanjing University of Technology, Nanjing 211816, China
Abstract: For agricultural manufacturer who have a disadvantaged position in the actual distribution network considering the delayed payment of inventory optimization strategies and Stackelberg game strategy, the Stackelberg game model led by the agricultural producers was established, for the purpose of enhancing the competitiveness of the agricultural producers in the secondary distribution network. This model optimizes the deferred payment strategy of agricultural producers and the ordering decision-making strategies of the agricultural distribution network, which maximizes the benefits for all the members of the agricultural distribution network. This model also takes into account the elements of cost inventory, fixed outputs and transportation costs, etc, providing the theoretical support for practical applications.
Key words: agricultural manufacturer     secondary distribution network     deferred payment policy     Stackelberg model

1 农产品分销网络各节点延期支付利润模型

 (1)

 (2)

 (3)

 (4)

 (5)
2 农产品生产商为主导的Stackelberg博弈模型

Stackelberg博弈的基本参量如下，信息载体有:农产品产量、库存水平、订货状态、需求预测、生产/发货计划、提前期、延迟；农产品生产商的行动是生产、销售、契约、质量保证，而分销中心的行动是：订货、契约、质量保证; 农产品生产商和农产品分销中心的支付函数就是其分别的利润函数，其相应的战略就是最大化自己的利润函数。

Stackelberg博弈模型如下：

 (6)

 (7)

, 得

 (8)

 (9)
3 算法实例

 算例 IP/% IR/% M1∗ 分销中心利润 生产商利润 分销网络利润 分销网络库存成本 1 9.5 6.5 0.164 1 5.690 0 e+004 4.886 2 e+004 1.057 6 e+005 3.997 4 e+004 2 9 7 0.548 3 5.948 9 e+004 4.704 0 e+004 1.065 3e +005 3.968 8 e+004 3 8.5 7.5 0.912 3 6.513 0 e+004 4.641 0 e+004 1.115 4 e+005 3.909 2 e+004 4 8 8 1.264 1 7.349 7 e+004 4.632 1 e+004 1.198 2 e+005 3.827 2 e+004 5 8 8.5 1.400 1 7.788 5 e+004 4.592 3 e+004 1.238 1 e+005 3.786 8 e+004 6 8 9 1.518 6 8.226 8 e+004 4.538 9 e+004 1.276 6 e+005 3.748 1 e+004 7 8 9.5 1.622 4 8.664 2 e+004 4.473 0 e+004 1.313 7 e+005 3.710 9 e+004

 图 1 分销网络函数总变化曲线 Fig. 1 The movement of the distribution network function

IP-IR的值对延期支付期限的影响呈现如图 2所示。

 图 2 延期支付期限随利率变化曲线 Fig. 2 The curve of deferred payment period following interest

4 结束语

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DOI: 10.3969/j.issn.1673-4785.201303002

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#### 文章信息

LIU Xiaohua, LIANG Xuechun

Game model of secondary distribution network led by agricultural manufacturer

CAAI Transactions on Intelligent Systems, 2014, 9(2): 192-196
http://dx.doi.org/10.3969/j.issn.1673-4785.201303002