Approaches to the incremental detection of implicit equalities with the revised simplex method

1998 ◽  
pp. 481-496 ◽  
Author(s):  
Philippe Refalo
Keyword(s):  
Simplex Method ◽  
Revised Simplex Method

A New Dynamic Basis Algorithm for Solving Linear Programming Problems for Engineering Design

1988 ◽  
Author(s):  
Y. Wang ◽  
E. Sandgren
Keyword(s):  
Linear Programming ◽  
Simplex Method ◽  
Inequality Constraints ◽  
Upper And Lower Bounds ◽  
Programming Algorithm ◽  
Active Constraint ◽  
Design Variables ◽  
Artificial Variable ◽  
Linear Programming Problems ◽  
Revised Simplex Method

Abstract A new linear programming algorithm is proposed which has significant advantages compared to the traditional simplex method. The search direction generated which is always along a common edge of the active constraint set, is used to locate candidate constraints, and can be used to modify the current basis. The dimension of the basis begins at one and dynamically increases but remains less than or equal to the number of design variables. This is true regardless of the number of inequality constraints present including upper and lower bounds. The proposed method can operate equally well from a feasible or infeasible point. The pivot operation and artificial variable strategy of the simplex method are not used. Examples are presented and results are compared with a traditional revised simplex method.

scholarly journals Parallelizing the dual revised simplex method

2017 ◽  
Vol 10 (1) ◽  
pp. 119-142 ◽  
Author(s):  
Q. Huangfu ◽  
J. A. J. Hall
Keyword(s):  
Simplex Method ◽  
Revised Simplex Method

A timing model for the revised simplex method

1993 ◽  
Vol 13 (2) ◽  
pp. 67-73 ◽  
Author(s):  
James K Ho ◽  
R.P Sundarraj
Keyword(s):  
Simplex Method ◽  
Timing Model ◽  
Revised Simplex Method

The Revised Simplex Method

2017 ◽  
pp. 137-173
Author(s):  
Shashi Kant Mishra ◽  
Bhagwat Ram
Keyword(s):  
Simplex Method ◽  
Revised Simplex Method

Efficient Revised Simplex Method for SVM Training

2011 ◽  
Vol 22 (10) ◽  
pp. 1650-1661 ◽  
Author(s):  
C. Sentelle ◽  
G. C. Anagnostopoulos ◽  
M. Georgiopoulos
Keyword(s):  
Simplex Method ◽  
Revised Simplex Method

scholarly journals Novel update techniques for the revised simplex method

2014 ◽  
Vol 60 (3) ◽  
pp. 587-608 ◽  
Author(s):  
Qi Huangfu ◽  
J. A. Julian Hall
Keyword(s):  
Simplex Method ◽  
Revised Simplex Method
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