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A Computer Technique for Duality Theory in Linear Programs

Received: 25 March 2015     Accepted: 7 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.

Published in American Journal of Applied Mathematics (Volume 3, Issue 3)
DOI 10.11648/j.ajam.20150303.13
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), 2015. 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”.
Cite This Article
  • 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://article.sciencepublishinggroup.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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    T1  - A Computer Technique for Duality Theory in Linear Programs
    AU  - A. K. M. Nazimuddin
    AU  - Ahsan Ali
    Y1  - 2015/04/27
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    DO  - 10.11648/j.ajam.20150303.13
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
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    AB  - 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.
    VL  - 3
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    ER  - 

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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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