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Modelling, Computation and Optimization in Information Systems and Management Sciences pp 357–368Cite as

A Numerical Implementation of an Interior Point Methods for Linear Programming Based on a New Kernel Function

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 359))

Abstract

In this paper, we define a new barrier function and propose a new primal-dual interior point methods based on this function for linear optimization. The proposed kernel function which yields a low algorithm complexity bound for both large and small-update interior point methods. This purpose is confirmed by numerical experiments showing the efficiency of our algorithm which are presented in the last of this paper.

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References

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Author information

Authors and Affiliations

  1. LabCAV, Laboratoire de Contrôle Avancé, Université de Guelma, Guelma, Algérie

    Mousaab Bouafia

  2. LMFN, Laboratoire de Mathématiques Fondamentales et Numériques, Sétif-1, Algérie

    Djamel Benterki

  3. LMAH, Laboratoire de Mathématiques Appliquées du Havre, Université du Havre, Le Havre, France

    Adnan Yassine

Authors
  1. Mousaab Bouafia
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  2. Djamel Benterki
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  3. Adnan Yassine
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Corresponding author

Correspondence to Mousaab Bouafia .

Editor information

Editors and Affiliations

  1. Laboratory of Theoretical and Applied Computer Science, University of Lorraine-Metz, Metz, France

    Hoai An Le Thi

  2. Laboratory of Mathematics, National Institute for Applied Sciences-Rouen, Rouen, France

    Tao Pham Dinh

  3. Division of Knowledge Management Systems Institute of Informatics (I-32), Wroclaw University of Technology, Wroclaw, Poland

    Ngoc Thanh Nguyen

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© 2015 Springer International Publishing Switzerland

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Bouafia, M., Benterki, D., Yassine, A. (2015). A Numerical Implementation of an Interior Point Methods for Linear Programming Based on a New Kernel Function. In: Le Thi, H., Pham Dinh, T., Nguyen, N. (eds) Modelling, Computation and Optimization in Information Systems and Management Sciences. Advances in Intelligent Systems and Computing, vol 359. Springer, Cham. https://doi.org/10.1007/978-3-319-18161-5_30

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  • DOI: https://doi.org/10.1007/978-3-319-18161-5_30

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18160-8

  • Online ISBN: 978-3-319-18161-5

  • eBook Packages: EngineeringEngineering (R0)

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