In Section 1, the authors establish the models of two kinds of Markov chains in space-time random environments (MCSTRE and MCSTRE(+)) with abstract state space. In Section 2, the authors construct a MCSTRE and a MCSTR...In Section 1, the authors establish the models of two kinds of Markov chains in space-time random environments (MCSTRE and MCSTRE(+)) with abstract state space. In Section 2, the authors construct a MCSTRE and a MCSTRE(+) by an initial distribution Φ and a random Markov kernel (RMK) p(γ). In Section 3, the authors es-tablish several equivalence theorems on MCSTRE and MCSTRE(+). Finally, the authors give two very important examples of MCMSTRE, the random walk in spce-time random environment and the Markov br...展开更多
A general framework of stochastic model for a Markov chain in a space-time random environment is introduced, here the environment ξ^＊：={ξ1,x∈N,x∈ X}is a random field. We study the dependence relations between th...A general framework of stochastic model for a Markov chain in a space-time random environment is introduced, here the environment ξ^＊：={ξ1,x∈N,x∈ X}is a random field. We study the dependence relations between the environment and the original chain, especially the ＂feedback＂. Some equivalence theorems and law of large numbers are obtained.展开更多
跑道理论容量计算是机场容量评估的一项重要内容。传统方法是针对跑道实际运行情况建立特定的数学模型进行粗略计算,本研究则采用随机Petri网(stochastic Petri net,SPN)建立通用的近距平行跑道运行模型,通过同构马尔科夫链,建立系统稳...跑道理论容量计算是机场容量评估的一项重要内容。传统方法是针对跑道实际运行情况建立特定的数学模型进行粗略计算,本研究则采用随机Petri网(stochastic Petri net,SPN)建立通用的近距平行跑道运行模型,通过同构马尔科夫链,建立系统稳态概率表达式,进而建立跑道容量数学模型。在此基础之上,将跑道容量的影响因素映射成相应变迁的激发率,通过对激发率的调整,实现了不同条件下交替起降近距平行跑道容量的计算与分析。与传统方法相比,该方法所建模型可复用性强,参数调整更为灵活,为跑道理论容量的计算与分析提供了新的解决方案。展开更多
基金Supported by the National Natural Science Foundation of China (10771185 and 10871200)
文摘In Section 1, the authors establish the models of two kinds of Markov chains in space-time random environments (MCSTRE and MCSTRE(+)) with abstract state space. In Section 2, the authors construct a MCSTRE and a MCSTRE(+) by an initial distribution Φ and a random Markov kernel (RMK) p(γ). In Section 3, the authors es-tablish several equivalence theorems on MCSTRE and MCSTRE(+). Finally, the authors give two very important examples of MCMSTRE, the random walk in spce-time random environment and the Markov br...
基金Supported by the National Natural Science Foundation of China (10371092)
文摘A general framework of stochastic model for a Markov chain in a space-time random environment is introduced, here the environment ξ^＊：={ξ1,x∈N,x∈ X}is a random field. We study the dependence relations between the environment and the original chain, especially the ＂feedback＂. Some equivalence theorems and law of large numbers are obtained.
文摘跑道理论容量计算是机场容量评估的一项重要内容。传统方法是针对跑道实际运行情况建立特定的数学模型进行粗略计算,本研究则采用随机Petri网(stochastic Petri net,SPN)建立通用的近距平行跑道运行模型,通过同构马尔科夫链,建立系统稳态概率表达式,进而建立跑道容量数学模型。在此基础之上,将跑道容量的影响因素映射成相应变迁的激发率,通过对激发率的调整,实现了不同条件下交替起降近距平行跑道容量的计算与分析。与传统方法相比,该方法所建模型可复用性强,参数调整更为灵活,为跑道理论容量的计算与分析提供了新的解决方案。
文摘为了实现同一地域范围内的众多用户在有限带宽条件下提出的高QoS要求,本文对基于IEEE 802.16标准的宽带无线接入网中数据包级QoS(Quality of Service)性能进行了研究.具体做法是,首先采用批马尔可夫到达过程(BMAP,Batch Markov Arrival Process)和连续时间马尔科夫链(CTMC,Continuous Time Markov Chain)对到达过程和流量源进行建模,得到更符合实际和更准确的排队模型;然后基于状态空间,对一个无线接入网络系统进行建模,通过对得到的系统模型并结合前面得到的排队模型的深入分析,从而获得该模型下的各项QoS性能指标,如平均队列长度、丢包率、队列吞吐量和平均包时延.仿真实验结果表明,本文提出的算法模型相比于其他典型的算法模型,能够使得各项QoS性能指标有较大的改善和提高.
