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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 487870, 15 pages
doi:10.1155/2012/487870
Research Article
On the Simplex Algorithm Initializing
1Faculty of Economics, University of Niš, Trg Kralja Aleksandra 11, 18000 Niš, Serbia
2Department of Computer Science, Faculty of Sciences, University of Niš, Višegradska 33, 18000 Niš, Serbia
3LEDIB Programme Component Coordinator, Nisava District, 18000 Niš, Serbia
Received 15 June 2012; Revised 19 July 2012; Accepted 27 July 2012
Academic Editor: Sung G. Kim
Copyright © 2012 Nebojša V. Stojković et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- P. S. Stanimirović, N. V. Stojković, and V. V. Kovačević-Vujčić, “Stabilization of Mehrotra's primal-dual algorithm and its implementation,” European Journal of Operational Research, vol. 165, no. 3, pp. 598–609, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- N. V. Stojković and P. S. Stanimirovic, “Initial point in primal-dual interior point method,” Facta Universitatis, Series Mechanical Engineering, vol. 3, pp. 219–222, 2001. View at Zentralblatt MATH
- N. V. Stojković and P. S. Stanimirović, “Two direct methods in linear programming,” European Journal of Operational Research, vol. 131, no. 2, pp. 417–439, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- H. W. Corley, J. Rosenberger, W. C. Yeh, and T. K. Sung, “The cosine simplex algorithm,” International Journal of Advanced Manufacturing Technology, vol. 27, no. 9-10, pp. 1047–1050, 2006. View at Publisher · View at Google Scholar · View at Scopus
- P. Q. Pan, “The most-obtuse-angle row pivot rule for achieving dual feasibility: a computational study,” European Journal of Operational Research, vol. 101, no. 1, pp. 164–176, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
- W.-C. Yeh and H. W. Corley, “A simple direct cosine simplex algorithm,” Applied Mathematics and Computation, vol. 214, no. 1, pp. 178–186, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- H. Arsham, “A big- free solution algorithm for general linear programs,” International Journal of Pure and Applied Mathematics, vol. 32, no. 4, pp. 37–52, 2006.
- H. Jian-Feng, “A note on ‘an improved initial basis for the simplex algorithm’,” Computers & Operations Research, vol. 34, no. 11, pp. 3397–3401, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- H. V. Junior and M. P. E. Lins, “An improved initial basis for the Simplex algorithm,” Computers & Operations Research, vol. 32, no. 8, pp. 1983–1993, 2005. View at Publisher · View at Google Scholar
- N. Khan, S. Inayatullah, M. Imtiaz, and F. H. Khan, “New artificial-free phase 1 simplex method,” International Journal of Basic and Applied Sciences, vol. 9, no. 10, pp. 97–114, 2009.
- H. Nabli, “An overview on the simplex algorithm,” Applied Mathematics and Computation, vol. 210, no. 2, pp. 479–489, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- J. K. Strayer, Linear Programming and Its Applications, Springer, 1989. View at Publisher · View at Google Scholar
- N. V. Stojković, P. S. Stanimirović, and M. D. Petković, “Modification and implementation of two-phase simplex method,” International Journal of Computer Mathematics, vol. 86, no. 7, pp. 1231–1242, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- E. D. Nering and A. W. Tucker, Linear Programs and Related Problems, Academic Press, New York, NY, USA, 1993.
- R. G. Bland, “New finite pivoting rules for the simplex method,” Mathematics of Operations Research, vol. 2, no. 2, pp. 103–107, 1977. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
- J. P. Ignizio, Linear Programming in Single-Multiple-Objective Systems, Prentice Hall, Englewood Cliffs, NJ, USA, 1982.
- R. J. Vanderbei, Linear Programming: Foundations and Extensions, Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ, USA, 2001.
- E. D. Dolan and J. J. Moré, “Benchmarking optimization software with performance profiles,” Mathematical Programming, vol. 91, no. 2, pp. 201–213, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH