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The study of random walk in random evolving environment has attracted much attention lately. The basic idea is that, due to the time mixing properties of the environment, the CLT should hold in any ...
讨论了一类带有分数布朗运动和Markovian调制的随机种群系统最优逼近控制问题,给出了模型的伴随方程、哈密顿函数,应用Ekeland变分原理、Ito公式及一些不等式给出了随机种群系统最优逼近控制存在的必要条件.
Abstract: We consider a Markovian queue subject to Poisson generated catastrophes. Whenever a catastrophe occurs, all customers are forced to abandon the system, the server is rendered inoperative and...
Based on the fixed point theory, the asymp totical stability of mild solution to impulsive stochastic partial differential equations with infinite delays and Markovian jumps is studied. In addition, s...
We consider a combinatorial generalization of the classical multi-armed bandit problem that is defined as follows.There is a given bipartite graph of M users and N  M resources.
The instantaneous state of a neural network consists of both the degree of excitation of each neuron, the network is composed of, and positions of impulses in communication lines between neurons.
We present some advances, both from a theoretical and from a computational point of view, on a quadratic vector equation (QVE) arising in Markovian Binary Trees. Concerning the theoretical advances, ...
Shortest path network interdiction is a combinatorial optimization problem on an activity network arising in a number of important security-related applications.
By appealing to renewal theory we determine the equations that the mean exit time of a continuous-time random walk with drift satisfies both when the present coincides with a jump instant or when it d...
We study in fairly general measure spaces $(X,\mu)$ the (non-linear) potential theory of $L^p$ sub-Markovian semigroups which are given by kernels having a density with respect to the underlying measu...
In this paper, a Markovian risk model is developed, in which the occurrence of the claims is described by a point process {N(t)}_(t≥0) with N(t) being the number of jumps of a Markov chain during the ...
In this study, the semi-Markovian random walk with a special barrier (X(t)) is considered and under some weak assumptions the ergodicity of this process is discussed. Moreover, the characteristic func...
In this paper, a semi-Markovian random walk process X(t) with reflecting barrier on the zero-level and delaying barrier on the b(b>0 )-level and the first falling moment of the process into the delayi...
In this study, a semi-Markovian random walk with delaying screen at (b > O and the first crossing time ('g1) of the zero level of this process are constructed. Furthermore, the distribution function w...

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