265 citations · 478 across the 38 of their papers we have counts for
41 papers
The Equilibrium States of Large Networks of Erlang Queues
Davit Martirosyan, Philippe Robert
The equilibrium properties of allocation algorithms for networks with a large number of nodes with finite capacity are investigated. Every node is receiving a flow of requests and…
Analysis of Large Urn Models with Local Mean-Field Interactions
Wen Sun, Philippe Robert
The stochastic models investigated in this paper describe the evolution of a set of identical balls scattered into urns connected by an underlying symmetrical graph with…
On the Asymptotic Distribution of Nucleation Times of Polymerization Processes
Philippe Robert, Wen Sun
In this paper, we investigate a stochastic model describing the time evolution of a polymerization process. A polymer is a macro-molecule resulting from the aggregation of several…
A Stochastic Analysis of a Network with Two Levels of Service
Vianney Boeuf, Philippe Robert
In this paper a stochastic model of a call center with a two-level architecture is analyzed. A first-level pool of operators answers calls, identifies, and handles non-urgent calls…
Analysis of a Stochastic Model of Replication in Large Distributed Storage Systems: A Mean-Field Approach
Wen Sun, Véronique Simon, Sébastien Monnet +2
Distributed storage systems such as Hadoop File System or Google File System (GFS) ensure data availability and durability using replication. This paper is focused on the analysis…
A Scaling Analysis of a Star Network with Logarithmic Weights
Philippe Robert, Amandine Véber
The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has requests to transmit, then it recei…