A Two-Phase Support Method for Solving Linear Programs: Numerical Experiments
Joint Authors
Bentobache, Mohand
Bibi, Mohand Ouamer
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-26
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
We develop a single artificial variable technique to initialize the primal support method for solving linear programs with bounded variables.
We first recall the full artificial basis technique, then we will present the proposed algorithm.
In order to study the performances of the suggested algorithm, an implementation under the MATLAB programming language has been developed.
Finally, we carry out an experimental study about CPU time and iterations number on a large set of the NETLIB test problems.
These test problems are practical linear programs modelling various real-life problems arising from several fields such as oil refinery, audit staff scheduling, airline scheduling, industrial production and allocation, image restoration, multisector economic planning, and data fitting.
It has been shown that our approach is competitive with our implementation of the primal simplex method and the primal simplex algorithm implemented in the known open-source LP solver LP_SOLVE.
American Psychological Association (APA)
Bentobache, Mohand& Bibi, Mohand Ouamer. 2012. A Two-Phase Support Method for Solving Linear Programs: Numerical Experiments. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1001633
Modern Language Association (MLA)
Bentobache, Mohand& Bibi, Mohand Ouamer. A Two-Phase Support Method for Solving Linear Programs: Numerical Experiments. Mathematical Problems in Engineering No. 2012 (2012), pp.1-28.
https://search.emarefa.net/detail/BIM-1001633
American Medical Association (AMA)
Bentobache, Mohand& Bibi, Mohand Ouamer. A Two-Phase Support Method for Solving Linear Programs: Numerical Experiments. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1001633
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001633