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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 ...
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...
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.
Shortest path network interdiction is a combinatorial optimization problem on an activity network arising in a number of important security-related applications.
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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