A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation

A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation

We consider a time-non-homogeneous double-ended queue subject to catastrophes and repairs. The catastrophes occur according to a non-homogeneous Poisson process and lead the system into a state of failure. Instantaneously, the system is put under repair, such that repair time is governed by a time-v...

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Bibliographic Details
Main Authors: Antonio Di Crescenzo, Virginia Giorno, Balasubramanian Krishna Kumar, Amelia G. Nobile
Format: Article
Language:English
Published: MDPI AG 2018-05-01
Series:Mathematics
Subjects:
double-ended queues
time-non-homogeneous birth-death processes
catastrophes
repairs
transient probabilities
periodic intensity functions
time-non-homogeneous jump-diffusion processes
transition densities
first-passage-time
Online Access:http://www.mdpi.com/2227-7390/6/5/81

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