Distribution and Moments of the Idle Period and Interarrival Time in the G/M/1 Queueing System

Distribution and Moments of the Idle Period and Interarrival Time in the G/M/1 Queueing System

The Idle period is relevant in a wide variety of systems and has been extensively studied in the literature. This paper derives the distribution and moments of the idle period for different interrarrival time distributions in the G/M/1 queueing system. Specifically, Log-Normal (LN), Weibull, arbitra...

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Bibliographic Details
Main Authors: Felipe A. Cruz-Perez, Sandra Lirio Castellanos-Lopez, Genaro Hernandez-Valdez, Mario Eduardo Rivero-Angeles
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Idle period distribution
interarrival time distribution
G/M/1 queue
log-normal
Weibull
hyper-exponential
Online Access:https://ieeexplore.ieee.org/document/10896649/
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