58 citations · 166 across the 9 of their papers we have counts for
5 papers · 1 filter
M/M/1 queue in two alternating environments and its heavy traffic approximation
Antonio Di Crescenzo, Virginia Giorno, Balasubramanian Krishna Kumar +1
We investigate an M/M/1 queue operating in two switching environments, where the switch is governed by a two-state time-homogeneous Markov chain. This model allows to describe a sy…
A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation
Selvamuthu Dharmaraja, Antonio Di Crescenzo, Virginia Giorno +1
We consider a continuous-time Ehrenfest model defined over the integers from -N to N, and subject to catastrophes occurring at constant rate. The effect of each catastrophe instant…
A double-ended queue with catastrophes and repairs, and a jump-diffusion approximation
Antonio Di Crescenzo, Virginia Giorno, Balasubramanian Krishna Kumar +1
Consider a system performing a continuous-time random walk on the integers, subject to catastrophes occurring at constant rate, and followed by exponentially-distributed repair tim…
On the first-visit-time problem for birth and death processes with catastrophes
A. Di Crescenzo, V. Giorno, A. G. Nobile +1
For a birth-death process subject to catastrophes, defined on the state-space , with a positive integer or zero, the first-visit time to a state i…
Towards Dead Time Inclusion in Neuronal Modeling
A. Buonocore, G. Esposito, V. Giorno +1
A mathematical description of the refractoriness period in neuronal diffusion modeling is given and its moments are explicitly obtained in a form that is suitable for quantitative…