26 citations · 48 across the 17 of their papers we have counts for
11 papers · 1 filter
Second Order Properties of Thinned Counts in Finite Birth--Death Processes
Daryl. J. Daley, Yoni Nazarathy, Jiesen Wang
The paper studies the counting process arising as a subset of births and deaths in a birth--death process on a finite state space. Whenever a birth or death occurs, the process is…
On Busy Periods of the Critical GI/G/1 Queue and BRAVO
Yoni Nazarathy, Zbigniew Palmowski
We study critical GI/G/1 queues under finite second moment assumptions. We show that the busy period distribution is regularly varying with index half. We also review previously kn…
Markovian Transition Counting Processes: An Alternative to Markov Modulated Poisson Processes
Azam Asanjarani, Sophie Hautphenne, Yoni Nazarathy
Stochastic models for performance analysis, optimization and control of queues hinge on a multitude of alternatives for input point processes. In case of bursty traffic, one very p…
Stationary Markovian Arrival Processes, Results and Open Problems
Azam Asanjarani, Yoni Nazarathy
We consider two classes of irreducible Markovian arrival processes specified by the matrices and . The Markov Modulated Poison Process (MMPP) and the Markovian Switched Pois…
The Squared Coefficient of Variation for MMPP is Greater than Unity
Azam Asanjarani, Yoni Nazarathy
Folklore often treats the Markov Modulated Poisson Process as bursty because the variance divided by the expectation of counts is greater than unity. When viewed through the lens o…
A Correction Term for the Covariance of Renewal-Reward Processes with Multivariate Rewards
Brendan Patch, Yoni Nazarathy, Thomas Taimre
We consider a renewal-reward process with multivariate rewards. Such a process is constructed from an i.i.d.\ sequence of time periods, to each of which there is associated a multi…
Diffusion Parameters of Flows in Stable Multi-class Queueing Networks
Sarat Babu Moka, Yoni Nazarathy, Werner Scheinhardt
We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under…
The Second Order Terms of the Variance Curves for Some Queueing Output Processes
Sophie Hautphenne, Yoav Kerner, Yoni Nazarathy +1
We consider queueing output processes of some elementary queueing models such as the M/M/1/K queue and the M/G/1 queue. An important performance measure for these counting processe…
The age of information in gossip networks
Jori Selen, Yoni Nazarathy, Lachlan L. H. Andrew +1
We introduce models of gossip based communication networks in which each node is simultaneously a sensor, a relay and a user of information. We model the status of ages of informat…
BRAVO for many-server QED systems with finite buffers
Daryl J. Daley, Johan S. H. van Leeuwaarden, Yoni Nazarathy
This paper demonstrates the occurrence of the feature called BRAVO (Balancing Reduces Asymptotic Variance of Output) for the departure process of a finite-buffer Markovian many-ser…
Non-Existence of Stabilizing Policies for the Critical Push-Pull Network and Generalizations
Yoni Nazarathy, Leonardo Rojas-Nandayapa, Thomas S. Salisbury
The push-pull queueing network is a simple example in which servers either serve jobs or generate new arrivals. It was previously conjectured that there is no policy that makes the…