Markov Processes in Data Center Networks

The KTH Visit in Semi-Markov Processes

Nonlinear Markov Processes in Big Networks

Big networks express multiple classes of large-scale networks in many practical areas such as computer networks, internet of things, cloud computation, manufacturing systems, transportation networks, and healthcare systems. This paper analyzes such big networks, and applies the mean-field theory and the nonlinear Markov processes to constructing a broad class of nonlinear continuous-time block-...

ON THE INFINITE ORDER MARKOV PROCESSES

The notion of infinite order Markov process is introduced and the Markov property of the flow of information is established.

Robustness of Markov processes on large networks

A metric on the space of probability measures on the state of a large network is introduced, with respect to which the stationary measure of a Markov process on the network is proved under suitable hypotheses to vary uniformly smoothly with parameters and the rate of relaxation to equilibrium to never suddenly decrease.

the kth visit in semi-markov processes