Let X=(X) be a two-parameter *-Markov process with a transition function (p1, p2, p), where X, takes values in the state space (Er,), T=[0,)2. For each r T, let f, be a measurable transformation of (E,) into the state...Let X=(X) be a two-parameter *-Markov process with a transition function (p1, p2, p), where X, takes values in the state space (Er,), T=[0,)2. For each r T, let f, be a measurable transformation of (E,) into the state space (E’r, ). Set Y,=f,(X,), r T. A sufficient condition is given for the process Y=(Yr) still to be a two-parameter *-Markov process with a transition function in terms of transition function (p1, p2, p) and fr. For *-Markov families of two-parameter processes with a transition function, a similar problem is also discussed.展开更多
This paper investigates the Borel state space semi-Markov decision process (SMDP) with the criterion of expected total rewards in a semi-Markov environment. It describes a system which behaves like a SMDP except that ...This paper investigates the Borel state space semi-Markov decision process (SMDP) with the criterion of expected total rewards in a semi-Markov environment. It describes a system which behaves like a SMDP except that the system is influenced by its environment modeled by a semi-Markov process. We transform the SMDP in a semiMarkov environment into an equivalent discrete time Markov decision process under the condition that rewards are all positive or all negative, and obtain the optimality equation and some properties for it.展开更多
换流变压器可靠性对整个高压直流(high voltage direct current,HVDC)输电系统可靠性的影响非常大,因而有必要加强对换流变系统的可靠性评估。提出了单12脉波接线的换流变系统状态间转移率(故障率、修复率和安装率)的确定方法,采用等值...换流变压器可靠性对整个高压直流(high voltage direct current,HVDC)输电系统可靠性的影响非常大,因而有必要加强对换流变系统的可靠性评估。提出了单12脉波接线的换流变系统状态间转移率(故障率、修复率和安装率)的确定方法,采用等值元件组模型建立了不计和计及备用换流变时的换流变子系统的马尔可夫状态空间图。分析了换流变备用方案成本与单12脉波接线的换流变系统可靠性的关系,总成本最小的备用方案即为最优备用方案。算例结果验证了该方法的有效性,根据各方案可靠性评估结果可确定最优备用方案。展开更多
基金Project supported by the National Natural Science Foundation of Chinathe Guangdong Provincial Natural Science Foundation of China the Foundation of Zhongshan University Advanced Research Center.
文摘Let X=(X) be a two-parameter *-Markov process with a transition function (p1, p2, p), where X, takes values in the state space (Er,), T=[0,)2. For each r T, let f, be a measurable transformation of (E,) into the state space (E’r, ). Set Y,=f,(X,), r T. A sufficient condition is given for the process Y=(Yr) still to be a two-parameter *-Markov process with a transition function in terms of transition function (p1, p2, p) and fr. For *-Markov families of two-parameter processes with a transition function, a similar problem is also discussed.
文摘This paper investigates the Borel state space semi-Markov decision process (SMDP) with the criterion of expected total rewards in a semi-Markov environment. It describes a system which behaves like a SMDP except that the system is influenced by its environment modeled by a semi-Markov process. We transform the SMDP in a semiMarkov environment into an equivalent discrete time Markov decision process under the condition that rewards are all positive or all negative, and obtain the optimality equation and some properties for it.
文摘换流变压器可靠性对整个高压直流(high voltage direct current,HVDC)输电系统可靠性的影响非常大,因而有必要加强对换流变系统的可靠性评估。提出了单12脉波接线的换流变系统状态间转移率(故障率、修复率和安装率)的确定方法,采用等值元件组模型建立了不计和计及备用换流变时的换流变子系统的马尔可夫状态空间图。分析了换流变备用方案成本与单12脉波接线的换流变系统可靠性的关系,总成本最小的备用方案即为最优备用方案。算例结果验证了该方法的有效性,根据各方案可靠性评估结果可确定最优备用方案。
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.
