Dual Pivot Rule

作者: Ping-Qi PAN

DOI: 10.1007/978-3-642-40754-3_12

关键词:

摘要: In this book, pivot rules used in the dual simplex method are referred to as rule. Like primal context, a rule is crucial algorithm’s efficiency.

参考文章(239)
Y. Ye, Eliminating columns in the simplex method for linear programming Journal of Optimization Theory and Applications. ,vol. 63, pp. 69- 77 ,(1989) , 10.1007/BF00940732
Jian-Feng Hu, Short communication: A note on an improved initial basis for the simplex algorithm Computers & Operations Research. ,vol. 34, pp. 3397- 3401 ,(2007) , 10.1016/J.COR.2006.02.004
Philip E. Gill, Walter Murray, Michael A. Saunders, Matgaret H. Wright, Maintaining LU factors of a general sparse matrix Linear Algebra and its Applications. ,vol. 88-89, pp. 239- 270 ,(1987) , 10.1016/0024-3795(87)90112-1
Robert G. Bland, New Finite Pivoting Rules for the Simplex Method Mathematics of Operations Research. ,vol. 2, pp. 103- 107 ,(1977) , 10.1287/MOOR.2.2.103
M. L. Balinski, A. W. Tucker, Duality Theory of Linear Programs: A Constructive Approach with Applications SIAM Review. ,vol. 11, pp. 347- 377 ,(1969) , 10.1137/1011060
Ping-Qi Pan, A projective simplex method for linear programming Linear Algebra and its Applications. ,vol. 292, pp. 99- 125 ,(1999) , 10.1016/S0024-3795(99)00010-5
M. C. Cheng, General criteria for redundant and nonredundant linear inequalities Journal of Optimization Theory and Applications. ,vol. 53, pp. 37- 42 ,(1987) , 10.1007/BF00938815
Sanjay Mehrotra, On the Implementation of a Primal-Dual Interior Point Method Siam Journal on Optimization. ,vol. 2, pp. 575- 601 ,(1992) , 10.1137/0802028
Robert J. Vanderbei, Marc S. Meketon, Barry A. Freedman, A modification of karmarkar's linear programming algorithm Algorithmica. ,vol. 1, pp. 395- 407 ,(1986) , 10.1007/BF01840454