Abstract:To explore and study the regular pattern of the cooperation evolution of enterprises, this paper introduces the concept of two-stage power law distribution on the basis of studying the degree distribution index of realistic complex networks. And constructs an evolution model according two-stage power-law distribution combined with fitness and noise fluctuation under complex network. Then using the numericalsimulation to analyze the model, the simulation results show that the fitness of normal distribution is the dominant factor in the generation of two-stage power law distribution. Noise fluctuation has little effect on enterprise value, but it can affect power exponents. Finally, this paper takes the supply chain network of China's automobile manufacturing industry as an example.The power exponents γ1 and γ2of the two-stage power law distribution of the network are 0.59 and 3.4 separately, which is in good agreement with the evolution of the supply chain network of China's automobile manufacturing industry.Also example verifies the validity of proposed model, and expounds the mechanism of cooperative evolution of supply chain network enterprises.
[1]于海生, 赵林度, 来向红. 基于交易量的供应链网络演化模型研究[J]. 管理学报, 2009, 6(2):187. Yu Haisheng,Zhao Lindu,Lai Xianghong. Research on supply chain network evolution model based on transaction volume[J]. Journal of Management, 2009, 6(2):187. [2]Barabási A L, Albert R. Emergence of scaling in random networks[J]. Science, 1999,286(5439):509-512. [3]范碧霞, 刘帅. 复杂网络理论在供应链管理中的应用研究[J]. 商业经济研究, 2017, 5(18):97-98. Fan Bixia,LiuShuai.Application research of complex network theory in supply chain management [J]. Business Economics Research, 2017, 5(18):97-98. [4]丁飞, 陈红. 复杂网络视角下供应链网络模型研究[J]. 中北大学学报(自然科学版), 2018, 39(2):20-27. Ding Fei,Chen Hong. Research on supply chain network model from the perspective of complex network [J]. Journal of North Central University (Natural Science Edition), 2018, 39(2):20-27. [5]Venkata V, Katare S, Patkar P, et al. Spontaneous emergence of complex optimal networks through evolutionary adaptation[J]. Computers and Chemical Engineering, 2004, 28(9):1789-1798. [6]Pathak S, Day J M, Nair A, et al. Complexity and adaptivity in supply netwoks: building supply network theory using a complex adaptive systems perspective[J]. Decision Sciences, 2010, 38(4):547-580. [7]葛伟, 秦效宏. 基于复杂网络的供应链网络演化模型[J]. 商业经济研究, 2012, 46(32):18-19. Ge Wei, Qin Xiaohong. Evolution model of supply chain network based on complex network [J]. Business Economics Research, 2012, 46(32): 18-19. [8]傅培华, 李进, 刘燕楚. 基于度与路径优先连接的集聚型供应链网络演化模型[J]. 运筹与管理, 2013, 22(1):120-125. Fu Peihua, Li Jin, Liu Yanchu. Evolution model of centralized supply chain network based on degree and path priority connection [J]. Operational Research and Management, 2013, 22 (1): 120-125. [9]吴义生. 低碳供应链协同运作的演化模型[J]. 运筹与管理, 2014, 23(2):124-132. Wu Yisheng. Evolution model of collaborative operation of low carbon supply chain [J]. Operations Research and Management, 2014, 23(2): 124-132. [10] 曹文彬, 熊曦. 边效益因素下复杂供应链网络局域演化机制[J]. 计算机应用研究, 2016, 33(1):75-77. Cao Wenbin, Xiong Xi. Local evolution mechanism of complex supply chain network under edge benefit factor [J]. Computer Applied Research, 2016, 33(1): 75-77. [11] 孙军艳, 王雯, 傅卫平,等. 轿车供应链复杂自适应系统演化规律[J]. 计算机集成制造系统, 2016, 22(8): 2011-2022. Sun Junyan, Wang Wen, Fu Weiping, et al. Evolution law of complex adaptive system in car supply chain [J]. Computer Integrated Manufacturing System, 2016, 22 (8): 2011-2022. [12] 于淼, 马军海. 双渠道回收闭环供应链演化博弈复杂性与控制[J]. 复杂系统与复杂性科学, 2017, 14(2): 65-74. Yu Miao, Ma Junhai. Evolutionary game complexity and control of two-channel recycling closed-loop supply chain [J]. Complex Systems and Complexity Science,2017, 14(2): 65-74. [13] 张学龙, 王军进. 链路预测下能源供应链网络合作演化机制研究[J]. 智能系统学报, 2017, 12(2): 221-228. Zhang Xuelong, Wang Junjin. Research on the evolution mechanism of energy supply chain network cooperation under link prediction [J]. Journal of Intelligent Systems, 2017, 12 (2): 221-228. [14] 丁飞,陈红,杨冀豫. 基于复杂网络的供应链网络演化模型研究[J]. 计算机与数字工程, 2018, 46(2): 343-347. Ding Fei,Chen Hong,Yang Jiyu. Research on the evolution model of supply chain network based on complex network [J].Computer & Digital Engineering, 2018, 46(2): 343-347. [15] 李柏洲, 罗小芳. 集成供应链企业合作创新伙伴动态选择研究[J]. 工业工程与管理, 2018, 23(3):123-131. Li Bozhou, Luo Xiaofang. Research on dynamic selection of cooperative innovation partners of integrated supply chain enterprises [J]. Industrial Engineering and Management,2018, 23(3):123-131. [16] Dorogovtsev S N, Mendes J F. Language as an evolving word web.[J]. Proc Biol Sci, 2001, 268(1485):2603-2606. [17] 戴建平, 骆温平. 流程协同下供应链价值创造研究—基于物流企业与供应链成员多边合作的视角[J]. 技术经济与管理研究, 2017, (2):3-7. Dai Jianping, Luo Wenping.Research on value creation of supply chain under process collaboration based on the perspective of multilateral cooperation between logistics enterprises and supply chain members[J]. Research on Economy and Management, 2017, (2):3-7. [18] 梁震宇. 基于系统动力学的供应链合作竞争仿真研究[D]. 上海:上海海事大学, 2004. Liang Zhenyu. Simulation research on cooperative competition of supply chain based on system dynamics [D]. Shanghai: Shanghai Maritime University, 2004. [19] 阮平南, 王静. 基于组织效能视角的战略网络节点企业关系治理机制探析[J]. 北京工业大学学报(社会科学版), 2016, 16(3):42-48. Ruan Pingnan, Wang Jing. An analysis on the relationship governance mechanism of strategic network node enterprises from the perspective of organizational effectiveness [J]. Journal of Beijing University of Technology (Social Science Edition), 2016, 16(3):42-48. [20] 侯俊杰, 杨玉中. 基于三角白化权函数的汽车供应链合作风险评估研究[J]. 物流科技, 2015, 38(9):119-122. Hou Junjie, Yang Yuzhong. Research on cooperative risk assessment of automobile supply chain based on triangular whitening weight function [J]. Logistics Technology, 2015, 38(9):119-122.