8 papers · 1 filter
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…
Analysis of the shortest relay queue policy in a cooperative random access network with collisions
Mayank Saxena, Ioannis Dimitriou, Stella Kapodistria
The scope of this work is twofold: On the one hand, strongly motivated by emerging engineering issues in multiple access communication systems, we investigate the performance of a…