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On the Distributions of the State Sizes of the Continuous Time Homogeneous Markov System with Finite State Capacities
In the present paper we study the evolution of a continuous time homogeneous Markov system whose states have finite capacities. We assume that the...
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On the Distributions of the State Sizes of Closed Continuous Time Homogeneous Markov Systems
The evolution of the state sizes of a closed continuous-time homogeneous Markov system is determined by the convolution of multinomial distributions...
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On the Distributions of the State Sizes of Discrete Time Homogeneous Markov Systems
The evolution of a closed discrete-time homogeneous Markov system (HMS) is determined by the evolution of its state sizes in time. In order to...