42 citations · 74 across the 5 of their papers we have counts for
5 papers
Refined large deviations asymptotics for Markov-modulated infinite-server systems
Joke Blom, Koen De Turck, Michel Mandjes
Many networking-related settings can be modeled by Markov-modulated infinite-server systems. In such models, the customers' arrival rates and service rates are modulated by a Marko…
Functional central limit theorems for Markov-modulated infinite-server systems
Joke Blom, Koen de Turck, Michel Mandjes
In this paper we study the Markov-modulated M/M/ queue, with a focus on the correlation structure of the number of jobs in the system. The main results describe the system'…
A global sensitivity analysis approach for morphogenesis models
Sonja E. M. Boas, Maria I. Navarro Jimenez, Roeland M. H. Merks +1
Morphogenesis is a developmental process in which cells organize into shapes and patterns. Complex, multi-factorial models are commonly used to study morphogenesis. It is difficult…
Polynomial Chaos Expansion for general multivariate distributions with correlated variables
Maria Navarro, Jeroen Witteveen, Joke Blom
Recently, the use of Polynomial Chaos Expansion (PCE) has been increasing to study the uncertainty in mathematical models for a wide range of applications and several extensions of…
Analysis of Markov-modulated infinite-server queues in the central-limit regime
Joke Blom, Koen De Turck, Michel Mandjes
This paper focuses on an infinite-server queue modulated by an independently evolving finite-state Markovian background process, with transition rate matrix $Q\equiv(q_{ij})_{i,j=1…