Analysis of Supply Chain Optimization Model Based on new Cooperative Order Agriculture Model

new mode, cooperative mode, supply chain model, CVaR Lagrange function

Authors

  • Bingjie Liu The school of mathematics, Shandong University, Jinan, China, 250100
  • Yuquan Cui The school of mathematics, Shandong University, Jinan, China, 250100
  • Hui Su The school of mathematics, Shandong University, Jinan, China, 250100
June 12, 2018

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This paper builds a new order agriculture supply chain model based on the characteristics of a new mode of order agriculture. Firstly, establish an agriculture cooperative in accordance with the development of regional economy and farmers buy a share according to the land area. Then the agriculture cooperative gets profits by signing a contract with agricultural products acquiring company. Part of the income is used to pay dividends for farmers. Besides, to ensure the interests of the farmers, the cooperative will give the farmers a fixed income according to the stock. Based on these, we build a new three-level order agricultural supply chain consisting of a company, a cooperative and farmers. And calculate the income of cooperative under different risk aversions using the measure of conditional value-at-risk (CVaR).Then set up a constraint optimization model, obtain the minimum land area that farmers participate in cooperative can get more interests and the minimum fixed income that cooperative provides by the Lagrange function and relevant KKT conditions.