A Parametric Hybrid-Direction Algorithm for Bounded-Variable Linear Programming

Authors

  • Khalil DJELOUD Department of Mathematics-Higher Normal School of Laghouat, Algeria

DOI:

https://doi.org/10.19139/soic-2310-5070-3554

Keywords:

Linear programming, Adapted method, Feasible solution, Hybrid direction, Optimality estimation, long step rule

Abstract

This paper proposes a parametric hybrid-direction algorithm for bounded-variable linear programming. The method is based on an odd integer parameter ν, which defines a family of search directions within a unified framework. Inparticular, when ν= -1, the proposed approach reduces to a special case corresponding to previously studied hybrid-direction methods [1, 2, 5, 7], whose effectiveness has been demonstrated in connection with the simplex algorithm of the open-source solver GLPK [15]. Computational experiments on randomly generated problems show that the algorithm is efficient and robust, with stable performance in terms of iteration counts and CPU time. Among the tested values ν=1 provides thebest overall results, offering a good compromise between convergence speed and computational cost.

Downloads

Published

2026-07-17

How to Cite

DJELOUD, K. (2026). A Parametric Hybrid-Direction Algorithm for Bounded-Variable Linear Programming. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3554

Issue

Online First

Section

Research Articles

License

Copyright (c) 2026 Khalil DJELOUD

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
    2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
    3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).