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A functional approximation for the M/G/1/N queue
- Source :
- Discrete Event Dynamic Systems, 23(1), 93-104. Springer Netherlands, Abbas, K, Heidergott, B F & Aissani, D 2013, ' A functional approximation for the M/G/1/N queue ', Discrete Event Dynamic Systems, vol. 23, no. 1, pp. 93-104 . https://doi.org/10.1007/s10626-012-0135-1
- Publication Year :
- 2012
- Publisher :
- Springer Science and Business Media LLC, 2012.
-
Abstract
- This paper presents a new approach to the functional approximation of the M/G/1/N built on a Taylor series approach. Specifically, we establish an approximative expression for the remainder term of the Taylor series that can be computed in an efficient manner. As we will illustrate with numerical examples, the resulting Taylor series approximation turns out to be of practical value. © 2012 The Author(s).
- Subjects :
- Power series
M/G/k queue
G/G/1 queue
Heavy traffic approximation
Physics::Fluid Dynamics
Combinatorics
symbols.namesake
Control and Systems Engineering
Modelling and Simulation
Modeling and Simulation
Burke's theorem
Taylor series
symbols
M/G/1 queue
Applied mathematics
M/M/c queue
Electrical and Electronic Engineering
Mathematics
Subjects
Details
- ISSN :
- 15737594 and 09246703
- Volume :
- 23
- Database :
- OpenAIRE
- Journal :
- Discrete Event Dynamic Systems
- Accession number :
- edsair.doi.dedup.....697332805c31d96e0362afb7d10938b2
- Full Text :
- https://doi.org/10.1007/s10626-012-0135-1