商店出售易腐烂物品所得收益的马尔可夫骨架过程建模

本文中,我们应用马尔可夫骨架过程的理论建立了商店出售易腐烂物品所得盈利的数学模型,并且用向后方程刻画了盈利额的一维分布.     

Markov chain-based analysis of a modified Cooper-Frieze model

From the perspective of probability, the stability of a modified Cooper- Frieze model is studied in the present paper. Based on the concept and technique of the first-passage probability in the Markov theory, we provide a rigorous proof for the exis- tence of the steady-state degree distribution, and derive the explicit formula analytically. Moreover, we perform extensive numerical simulations of the model, including the degree distribution and the clustering.     

MARKOV CHAIN-BASED ANALYSIS OF THE DEGREE DISTRIBUTION FOR A GROWING NETWORK

In this article, we focus on discussing the degree distribution of the DMS model from the perspective of probability. On the basis of the concept and technique of first-passage probability in Markov theory, we provide a rigorous proof for existence of the steady-state degree distribution, mathematically re-deriving the exact formula of the distribution. The approach based on Markov chain theory is universal and performs well in a large class of growing networks.     

串联系统的可靠性

本文利用侯振挺等人提出的马尔可夫骨架过程理论讨论了串联系统的改进模型的可靠性.     

Charke’s串联排队系统

本文主要是通过运用马尔可夫骨架过程来研究Charke's串联排队系统,并得到了其瞬时状态分布.     

一类修正Cooper-Frieze网络的稳定性研究

基于Markov链理论,研究了一类修正Cooper-Frieze模型的稳定性.通过将模型中节点度与Markov链建立联系,利用Markov理论中首达概率的思想为稳态度分布的存在性提供了证明,并从数学上推导出度分布的具体表达式.最后,对该模型的度分布和聚集性提供了仿真分析,并与BA模型作了相应的对比.