References
- Terlaky T, Zhang S. Pivot rules for linear programming: a survey on recent theoretical developments. Ann. Oper. Res. 1993;46/47:203–233.
- Csizmadia Z, Illés T, Nagy A. The s-monotone index selection rules for pivot algorithms of linear programming. Eur. J. Oper. Res. 2012;221:491–500.
- Akkeleş AA, Balogh L, Illés T. New variants of the criss-cross method for linearly constrained convex quadratic programming. Eur. J. Oper. Res. 2004;157:74–86.
- Csizmadia Z. New pivot based methods in linear optimization, and an application in petroleum industry [PhD Thesis]. Eötvös Loránd University of Sciences; 2007. Available from: http://www.cs.elte.hu/~csisza.
- Maros I. Computational techniques of the simplex method. International Series in Operations Research & Management Science. Boston, MA: Kluwer Academic Publishers; 2003.
- Chvátal V. Linear programming. New York: W. H. Freeman and Company; 1983.
- Murty KG. Linear and combinatorial programming. New York: John Wiley & Sons, Inc.; 1976.
- Anstreicher K, Terlaky T. A monotonic build-up simplex algorithm for linear programming. Oper. Res. 1994;42:556–561.
- Klafszky E, Terlaky T. The role of pivoting in proving some fundamental theorems of linear algebra. Linear Algebra Appl. 1991;151:97–118.
- NETLIB database; 2010. Available from: http://www.netlib.org/lp/data/.
- Miplib database; 2012. Available at http://miplib.zib.de/.
- Ordónez F, Freund RM. Computational experience and the explanatory value of condition measures for linear optimization. SIAM J. Optim. 2003;14:307–333.
- Koltai T, Tatay V. Formulation of simple workforce skill constraints in assembly line balancing models. Period. Polytech. Social Manage. Sci. 2011;19:43–50.
- Bowman EH. Assembly Line Balancing by Linear Programming. Oper. Res. 1960;8:385–389.
- Source code of the implementations used in this paper. Available from: http://bolyai.cs.elte.hu/opres/orr/SourceCodes.htm
- Dantzig GB. Linear programming and extensions. Princeton, N.J.: Princeton University Press; 1963.
- Nagy A. Új típusú pivot módszerek numerikus összehasonlítása a lineáris programozásban [MSc Thesis] Eötvös Loránd University of Sciences; 2007. Available from: http://parad.web.elte.hu/Magamrol/NagyADiplomamunka.pdf
- FICO Xpress, Xpress-Optimizer Reference Manual; 2009. Available from: http://www.fico.com/en/Products/DMTools/Pages/FICO-Xpress-Optimization-Suite.aspx.