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Computing Inferences for Large-Scale Continuous-Time Markov Chains by Combining Lumping with Imprecision
Alexander Erreygers, Jasper De Bock
If the state space of a homogeneous continuous-time Markov chain is too large, making inferences - here limited to determining marginal or limit expectations - becomes computationa…
An Imprecise Probabilistic Estimator for the Transition Rate Matrix of a Continuous-Time Markov Chain
Thomas Krak, Alexander Erreygers, Jasper De Bock
We consider the problem of estimating the transition rate matrix of a continuous-time Markov chain from a finite-duration realisation of this process. We approach this problem in a…
Imprecise Markov Models for Scalable and Robust Performance Evaluation of Flexi-Grid Spectrum Allocation Policies
Alexander Erreygers, Cristina Rottondi, Giacomo Verticale +1
The possibility of flexibly assigning spectrum resources with channels of different sizes greatly improves the spectral efficiency of optical networks, but can also lead to unwante…