22 citations · 23 across the 17 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.PR2020
On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependency
Ioannis Dimitriou
This work deals with the stationary analysis of two-dimensional partially homogeneous nearest-neighbour random walks. Such type of random walks are characterized by the fact that t…
math.PR2020
Analysis of the Symmetric Join the Shortest Orbit Queue
Ioannis Dimitriou
This work introduces the join the shortest queue policy in the retrial setting. We consider a Markovian single server retrial system with two infinite capacity orbits. An arriving…
math.PR2020
Stationary analysis of certain Markov-modulated reflected random walks in the quarter plane
Ioannis Dimitriou
In this work, we focus on the stationary analysis of a specific class of continuous time Markov-modulated reflected random walks in the quarter plane with applications in the model…