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math.PR2022
A finite compensation procedure for a certain class of two-dimensional random walks
Ivo J. B. F. Adan, Ioannis Dimitriou
Motivated by queueing applications, we consider a certain class of two-dimensional random walks for which their invariant measure is written as a linear combination of a finite num…
math.PR2022
The M/G/1 retrial queue with event-dependent arrivals
Ioannis Dimitriou
We introduce a novel single-server queue with general retrial times and event-dependent arrivals. This is a versatile model for the study of service systems, in which the server ne…