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Efficient Method to Approximately Solve Retrial Systems with Impatience
Joint Authors
Martinez-Bauset, Jorge
Gimenez-Guzman, Jose Manuel
Pla, Vicent
Domenech-Benlloch, Ma Jose
Casares-Giner, Vicente
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-26
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We present a novel technique to solve multiserver retrial systems with impatience.
Unfortunately these systems do not present an exact analytic solution, so it is mandatory to resort to approximate techniques.
This novel technique does not rely on the numerical solution of the steady-state Kolmogorov equations of the Continuous Time Markov Chain as it is common for this kind of systems but it considers the system in its Markov Decision Process setting.
This technique, known as value extrapolation, truncates the infinite state space using a polynomial extrapolation method to approach the states outside the truncated state space.
A numerical evaluation is carried out to evaluate this technique and to compare its performance with previous techniques.
The obtained results show that value extrapolation greatly outperforms the previous approaches appeared in the literature not only in terms of accuracy but also in terms of computational cost.
American Psychological Association (APA)
Gimenez-Guzman, Jose Manuel& Domenech-Benlloch, Ma Jose& Pla, Vicent& Martinez-Bauset, Jorge& Casares-Giner, Vicente. 2011. Efficient Method to Approximately Solve Retrial Systems with Impatience. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993022
Modern Language Association (MLA)
Gimenez-Guzman, Jose Manuel…[et al.]. Efficient Method to Approximately Solve Retrial Systems with Impatience. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-993022
American Medical Association (AMA)
Gimenez-Guzman, Jose Manuel& Domenech-Benlloch, Ma Jose& Pla, Vicent& Martinez-Bauset, Jorge& Casares-Giner, Vicente. Efficient Method to Approximately Solve Retrial Systems with Impatience. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993022
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993022