1 citations · 1 across the 6 of their papers we have counts for
6 papers
The Multiserver-Job Stochastic Recurrence Equation for Cloud Computing Performance Evaluation
Francois Baccelli, Diletta Olliaro, Marco Ajmone Marsan +1
We study the Multiserver-Job Queuing Model (MJQM) with general independent arrivals and service times under FCFS scheduling, using stochastic recurrence equations (SREs) and ergodi…
On the Poisson Follower Model
Natasa Dragovic, Francois Baccelli
We introduce a stochastic geometry dynamics inspired by opinion dynamics that captures the essence of modern asymmetric social networks with leaders and followers. Points in the Eu…
Migration-Contagion Processes
Francois Baccelli, Sergey Foss, Vsevolod Shneer
Consider a migration process based on a closed network of N stations with K_N customers. Each station is a ./M/\infty queue with service (migration) rate mu. Upon departure, a cust…
Coupling from the Past for the Null Recurrent Markov Chain
François Baccelli, Mir-Omid Haji-Mirsadeghi, Sayeh Khaniha
The Doeblin Graph of a countable state space Markov chain describes the joint pathwise evolutions of the Markov dynamics starting from all possible initial conditions, with two pat…
Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
F. Baccelli, D. Veitch
We propose a method based on probabilistic arguments to study the convexity of the autocorrelation function of processes associated with a single server queue. To illustrate the po…
Poisson Hail on a Hot Ground
Francois Baccelli, Sergey Foss
We consider a queue where the server is the Euclidean space, and the customers are random closed sets (RACS) of the Euclidean space. These RACS arrive according to a Poisson rain a…