A Fast Simulation Model Based on Lindley’s Recursion for the GG1K Queue
Joint Authors
Toral Cruz, Homero
Sandoval-Arechiga, Remberto
Pérez-Ramírez, Agustín
Sanchez-Lara, Rafael
Vazquez-Avila, J. L.
El Hamzaoui, Y.
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
There are many applications where it is necessary to model queuing systems that involve finite queue size.
Most of the models consider traffic with Poisson arrivals and exponentially distributed service times.
Unfortunately, when the traffic behavior does not consider Poisson arrivals and exponentially distributed service times, closed-form solutions are not always available or have high mathematical complexity.
Based on Lindley’s recursion, this paper presents a fast simulation model for an accurate estimation of the performance metrics of G/G/1/K queues.
One of the main characteristics of this approach is the support for long-range dependence traffic models.
The model can be used to model queuing systems in the same way that a discrete event simulator would do it.
This model has a speedup of at least two orders of magnitude concerning implementations in conventional discrete event simulators.
American Psychological Association (APA)
Vazquez-Avila, J. L.& Sandoval-Arechiga, Remberto& Pérez-Ramírez, Agustín& Sanchez-Lara, Rafael& Toral Cruz, Homero& El Hamzaoui, Y.. 2019. A Fast Simulation Model Based on Lindley’s Recursion for the GG1K Queue. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1195144
Modern Language Association (MLA)
Vazquez-Avila, J. L.…[et al.]. A Fast Simulation Model Based on Lindley’s Recursion for the GG1K Queue. Mathematical Problems in Engineering No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1195144
American Medical Association (AMA)
Vazquez-Avila, J. L.& Sandoval-Arechiga, Remberto& Pérez-Ramírez, Agustín& Sanchez-Lara, Rafael& Toral Cruz, Homero& El Hamzaoui, Y.. A Fast Simulation Model Based on Lindley’s Recursion for the GG1K Queue. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1195144
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195144