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math.PR2022
Queuing models with Mittag-Leffler inter-event times
Jacob Butt, Nicos Georgiou, Enrico Scalas
We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue in a different way. Inter-event times in all models are Mittag-Leffl…
math.PR2022★ 1 cited
Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation
Elnur Emrah, Nicos Georgiou, Janosch Ortmann
We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the inc…