Fractional Queues with Catastrophes and Their Transient Behaviour

Fractional Queues with Catastrophes and Their Transient Behaviour

Starting from the definition of fractional M/M/1 queue given in the reference by Cahoy et al. in 2015 and M/M/1 queue with catastrophes given in the reference by Di Crescenzo et al. in 2003, we define and study a fractional M/M/1 queue with catastrophes. In particular, we focus our attention on the...

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Bibliographic Details
Main Authors: Giacomo Ascione, Nikolai Leonenko, Enrica Pirozzi
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Mathematics
Subjects:
fractional differential-difference equations
fractional queues
fractional birth-death processes
busy period
Online Access:http://www.mdpi.com/2227-7390/6/9/159

Internet

http://www.mdpi.com/2227-7390/6/9/159

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