东北大学学报(自然科学版)
東北大學學報(自然科學版)
동북대학학보(자연과학판)
JOURNAL OF NORTHEASTERN UNIVERSITY(NATURAL SCIENCE)
2015年
8期
1212-1216
,共5页
黄玮强%姚爽%庄新田%辛未
黃瑋彊%姚爽%莊新田%辛未
황위강%요상%장신전%신미
创新扩散%潜在采纳者%关系网络%无标度网络%Bass模型
創新擴散%潛在採納者%關繫網絡%無標度網絡%Bass模型
창신확산%잠재채납자%관계망락%무표도망락%Bass모형
innovation diffusion%potential adopter%relationship network%scale-free network%Bass model
从无标度潜在采纳者关系网络出发,考虑潜在采纳者所处局域关系网络对创新采纳决策的影响,自底向上,从微观到宏观建立了创新扩散模型。模型一方面放宽了传统Bass 类模型对于潜在采纳者关系网络不符合实际的假设;另一方面,引入了无标度网络的重要参数(度分布幂指数),使得创新采纳决策的微观机制能与宏观扩散数据相结合,体现了微分方程建模方法的优势,提高了模型的应用价值。对模型的进一步仿真分析发现,潜在采纳者关系网络节点度值的异质性程度越高及网络平均度值越小,则创新扩散深度越大、创新扩散速度越慢。
從無標度潛在採納者關繫網絡齣髮,攷慮潛在採納者所處跼域關繫網絡對創新採納決策的影響,自底嚮上,從微觀到宏觀建立瞭創新擴散模型。模型一方麵放寬瞭傳統Bass 類模型對于潛在採納者關繫網絡不符閤實際的假設;另一方麵,引入瞭無標度網絡的重要參數(度分佈冪指數),使得創新採納決策的微觀機製能與宏觀擴散數據相結閤,體現瞭微分方程建模方法的優勢,提高瞭模型的應用價值。對模型的進一步倣真分析髮現,潛在採納者關繫網絡節點度值的異質性程度越高及網絡平均度值越小,則創新擴散深度越大、創新擴散速度越慢。
종무표도잠재채납자관계망락출발,고필잠재채납자소처국역관계망락대창신채납결책적영향,자저향상,종미관도굉관건립료창신확산모형。모형일방면방관료전통Bass 류모형대우잠재채납자관계망락불부합실제적가설;령일방면,인입료무표도망락적중요삼수(도분포멱지수),사득창신채납결책적미관궤제능여굉관확산수거상결합,체현료미분방정건모방법적우세,제고료모형적응용개치。대모형적진일보방진분석발현,잠재채납자관계망락절점도치적이질성정도월고급망락평균도치월소,칙창신확산심도월대、창신확산속도월만。
Considering the influence of local area networks on innovation adoption decision-making of consumers,an innovation diffusion model from the micro to the macro was constructed based on the scale-free potential adopter networks.On one hand,the constructed model relaxed Bass model' s unrealistic assumptions of the consumer networks;on the other hand,the model introduced an important parameter of the scale-free networks (degree distribution exponential), which helped to integrate the micro-adoption mechanisms and macro-diffusion data.With an advantage of differential equation modeling,the model ' s application value was improved.A further simulation analysis of the model demonstrated that the more heterogeneous consumer networks' node degrees and the less network average degrees are,the deeper and the faster innovation diffusion will be.