| 一类成员成批到达的择优增长系统的度分布 |
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| 引用本文： | 荆科,康宁,侯振挺.一类成员成批到达的择优增长系统的度分布[J].铁道科学与工程学报,2011,8(5):124-128. |
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| 作者姓名： | 荆科 康宁 侯振挺 |
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| 作者单位： | 1. 阜阳师范学院数学与计算科学学院,安徽阜阳,236041
2. 阜阳师范学院数学与计算科学学院,安徽阜阳236041;中南大学数学科学与计算技术学院,湖南长沙410004 |
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| 基金项目： | 国家特色专业(数学与应用数学TS11496); 安徽省高等学校省级教学质量与教学改革工程重点项目(20101984) |
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| 摘 要： | 研究文1]中提出的一类择优增长系统,将模型推广至新成员成批到达的情形,经每时间步,系统中分别增加一个团体和m个成员,其中s个成员相互独立的依概率P加入旧团体,且加入旧团体的概率与旧团体中的成员数成正比,依概率1-p全部加入新团体,其余m-s个成员都加入新团体.利用马氏链方法及技巧严格证明了系统度分布的存在性、无标度性...
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| 关 键 词： | 择优增长系统 度分布 无标度性 马氏链 |
Degeree distribution of a promoted preferential growth system |
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| JING Ke
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KANG Ning
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HOU Zhen-ting.Degeree distribution of a promoted preferential growth system[J].Journal of Railway Science and Engineering,2011,8(5):124-128. |
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| Authors: | JING Ke KANG Ning HOU Zhen-ting |
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| Institution: | JING Ke1,KANG Ning1,2,HOU Zhen-ting2 (1.School of Mathematics and Computational Science,Fuyang Teachers College,Fuyang 236041,China,2.School of Mathematics Sciences and Computing Technology,Central South University,Changsha 410075,China) |
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| Abstract: | This paper mainly devotes to study on a class of preferential growth systems1].Considering there are m elements added to the system at each time step,the preferential growth model to an general situation was proposed.The s elements can either join in the new group(with probability 1-p) or dependently join in an already existing group with a probability proportional to the size thereof,the other s elements join in the new group.Based on the Markov chain theory,the author gets the rigorous proof for the exis... |
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| Keywords: | preferential growth system steady-state degree distribution scale-free property Markov chain |
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