Innovation Diffusion Modeling Based on Scale-Free Networks
HUANG Wei-qiang1, YAO Shuang2, ZHUANG Xin-tian1, XIN Wei3
1. School of Business Administration, Northeastern University, Shenyang 110819, China; 2. School of Economics and Management, Shenyang University of Chemical Technology, Shenyang 110142, China; 3. College of Business and Economics, Australian National University, Canberra 2913, Australia.
HUANG Wei-qiang, YAO Shuang, ZHUANG Xin-tian, XIN Wei. Innovation Diffusion Modeling Based on Scale-Free Networks[J]. Journal of Northeastern University Natural Science, 2015, 36(8): 1212-1216.
[1]Rogers E M.Diffusion of innovations[M].New York:Free Press,2003. [2]Bass F M.A new product growth model for consumer durables[J].Management Science,1969,15(5):215-227. [3]Bass F M,Krishnan T V,Jain D C.Why the Bass model fits without decision variables[J].Marketing Science,1994,13 (3):203-223. [4]Ho T H,Savin S,Terwiesch C.Managing demand and sales dynamics in new product diffusion under supply constraint[J].Management Science,2002,48(2):187-206. [5]庄新田,黄玮强.基于消费者网络的金融创新扩散研究[J].管理科学学报,2009,12(3):132-141. (Zhuang Xin-tian,Huang Wei-qiang.Study on financial innovation diffusion based on consumer network[J].Journal of Management Sciences in China,2009,12(3):132-141.) [6]Pegoretti G,Rentocchini F,Marzetti G V.An agent-based model of innovation diffusion:network structure and coexistence under different information regimes[J].Journal of Economy Interaction Coordination,2012,7(2):145-165. [7]Kiesling E,Gunther M,Stummer C,et al.Agent-based simulation of innovation diffusion:a review[J].Central European Journal on Operations Research,2012,20(2):183-230. [8]Bohlmann J D,Calantone R J,Zhao M.The effects of market network heterogeneity on innovation diffusion:an agent-based modeling approach[J].Journal of Product Innovation Management,2010,27(5):741-760. [9]Choi H,Kim S,Lee J.Role of network structure and network effects in diffusion of innovations[J].Industrial Marketing Management,2010,39(1):170-177. [10]Delre S A,Jager W,Bijmolt T H A.Will it spread or not? the effects of social influences and network topology on innovation diffusion[J]. Journal of Product Innovation Management,2010,27(2):267-282. [11]Shaikh N I,Rangaswamy A,Balakrishnan A.Modeling the diffusion of innovations using small-world networks[R].Central County:Penn State University,2006. [12]Dover Y,Goldenberg J,Shapira D.Network traces on penetration:uncovering degree distribution from adoption data[J].Marketing Science,2012,31(4):689-712. [13]Newman M E J.The structure and function of complex networks[J].SIAM Review,2003,45(2):167-256. [14]Pastor-Satorras R,Vespignani A.Epidemic spreading in scale-free networks[J].Physical Review Letters,2001,86(14):3200-3203. [15]Arenas A,Diaz-Guilera A,Perez C J,et al.Self-organized evolution in a socioeconomic environment[J].Physical Review: E,2000,61:3466-3469.(上接第1207页)该简支组合箱梁的混凝土翼板和钢翼板的剪力滞系数分布图.由图也可以看出,单纯通过提高抛物线系列函数的次数来提高纵向翘曲位移函数精度,并没有达到理想的效果,采用本文方法在n=2时推导的理论值与文献 [10]实测值和有限元模拟值吻合最好.4结论1) 本文以能量变分法和最小势能原理为基础,选择一系列符合组合箱梁基本翘曲模式的抛物线型翘曲位移函数,分析了组合箱梁剪力滞效应,避免了选择翘曲函数的盲目性.2) 算例计算结果表明,单纯通过提高抛物线系列函数的次数来提高纵向翘曲位移函数的精度,并没有达到理想的效果,故本文建议选择二次抛物线作为分析钢与混凝土组合箱梁的翘曲函数.3) 本文计算公式的推导,在理论上是完整的,与文献 [10]实测值和有限元的数值解比较,证明了本文方法的有效性.计算公式能够满足工程实际的需要,计算较为简单.