American Journal of Applied Mathematics

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A Computer Technique for Duality Theory in Linear Programs

Received: 25 March 2015    Accepted: 07 April 2015    Published: 27 April 2015
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Abstract

The aim of this paper is to develop a computer oriented program for analyzing duality of a Linear Program (LP) by the programming language MATHEMATICA. Also we will show the efficiency of our program by analyzing the duality with numerical examples.

DOI 10.11648/j.ajam.20150303.13
Published in American Journal of Applied Mathematics (Volume 3, Issue 3, June 2015)
Page(s) 95-99
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Linear Programs, Duality, Computer Technique

References
[1] Kambo, N.S., 1984, “Mathematical programming technique,” Affiliated East-West Press Pvt. Ltd., New Delhi.
[2] M. Babul Hasan, Khodadad Khan A. F. M. and Ainul Islam M. (2001), “Basic Solutions of Linear Systems of Equations Through Computer Algebra”, “Ganit: j, Bangladesh Math”, Soc.21, pp.1-7.
[3] www.cramster.com, “History of Linear Programming”.
[4] H. Isermann, “The relevance of duality in multiple objective linear programming”, TIMS Studies in the Management Sciences 6, 241-262 (1977).
[5] H. Isermann, “On some relations between a dual pair of multiple objective linear programs”, Zeitschriftfiir Operations Reserach 22, 33-41 (1978).
[6] Frederick S. Hillier, Gerald j. Lieberman, “Introduction To Operations Research”.
[7] Wayne L. Winston, “Operation Research, Application and Algorithms, 3rd edition”.
[8] Eugene D., “Schum’soutlines-Mathematica”, Mc – Graw-Hill.
[9] Ravindran, Phillips and Solberg,“ Operation Research Principles and practice”.
[10] Alexander Schrijver, “Theory of Linear and Integer Programming”.
Author Information
  • Department of Electronics and Communications Engineering, East West University, Dhaka, Bangladesh

  • Department of Electronics and Communications Engineering, East West University, Dhaka, Bangladesh

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  • APA Style

    A. K. M. Nazimuddin, Ahsan Ali. (2015). A Computer Technique for Duality Theory in Linear Programs. American Journal of Applied Mathematics, 3(3), 95-99. https://doi.org/10.11648/j.ajam.20150303.13

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    ACS Style

    A. K. M. Nazimuddin; Ahsan Ali. A Computer Technique for Duality Theory in Linear Programs. Am. J. Appl. Math. 2015, 3(3), 95-99. doi: 10.11648/j.ajam.20150303.13

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    AMA Style

    A. K. M. Nazimuddin, Ahsan Ali. A Computer Technique for Duality Theory in Linear Programs. Am J Appl Math. 2015;3(3):95-99. doi: 10.11648/j.ajam.20150303.13

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  • @article{10.11648/j.ajam.20150303.13,
      author = {A. K. M. Nazimuddin and Ahsan Ali},
      title = {A Computer Technique for Duality Theory in Linear Programs},
      journal = {American Journal of Applied Mathematics},
      volume = {3},
      number = {3},
      pages = {95-99},
      doi = {10.11648/j.ajam.20150303.13},
      url = {https://doi.org/10.11648/j.ajam.20150303.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.20150303.13},
      abstract = {The aim of this paper is to develop a computer oriented program for analyzing duality of a Linear Program (LP) by the programming language MATHEMATICA. Also we will show the efficiency of our program by analyzing the duality with numerical examples.},
     year = {2015}
    }
    

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    AU  - Ahsan Ali
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