most citedA double-ended queue with catastrophes and repairs, and a jump-diffusion approximation

58 citations · 77 across the 2 of their papers we have counts for

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math.PR2021★ 19 cited

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…

math.PR2011★ 58 cited

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…