11 papers
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…
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…
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…
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…
Stationary analysis of a tandem queue with coupled processors subject to global breakdowns
Ioannis Dimitriou
We consider a tandem queue with coupled processors, which is subject to global breakdowns. When the network is in the operating mode and both queues are non empty, the total servic…
A Random Access G-Network: Stability, Stable Throughput, and Queueing Analysis
Ioannis Dimitriou, Nikolaos Pappas
The effect of signals on stability, throughput region, and delay in a two-user slotted ALOHA based random-access system with collisions is considered. This work gives rise to the d…