UPDATING THE PRODUCT FORM OF THE INVERSE FOR THE REVISED SIMPLEX METHOD

1964 ◽  
Author(s):  
G. B. Dantzig ◽  
Roy Harvey ◽  
Robert McKnight
Keyword(s):  
Simplex Method ◽  
Product Form ◽  
Revised Simplex Method

Updating the Product Form of the Inverse for the Revised Simplex Method

1965 ◽  
Vol 12 (4) ◽  
pp. 603 ◽  
Author(s):  
G. B. Dantzig ◽  
R. P. Harvey ◽  
R. D. McKnight
Keyword(s):  
Simplex Method ◽  
Product Form ◽  
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 The product form for the inverse in the simplex method

1954 ◽  
Vol 8 (46) ◽  
pp. 64-64 ◽  
Author(s):  
George B. Dantzig ◽  
Wm. Orchard-Hays
Keyword(s):  
Simplex Method ◽  
Product Form

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
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