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), 2024. Published by Science Publishing Group |
Linear Programs, Duality, Computer Technique
| [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”. |
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
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
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
Share This Article
Twitter
Linked In
Facebook
Copy
Download@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}
}
TY - JOUR T1 - A Computer Technique for Duality Theory in Linear Programs AU - A. K. M. Nazimuddin AU - Ahsan Ali Y1 - 2015/04/27 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150303.13 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 SP - 95 EP - 99 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150303.13 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 IS - 3 ER -
Information
Email: