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Algorithm, Formulas, Examples added
on 20.07.18
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Simplex method Algorithm and examples
on 08.07.18
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Primal to dual conversion calculator
** check different types of Primal to dual conversion examples
Algorithm and examples
*Subtraction Steps display option is added for calculation steps, if required(on 21-Jul-18).
Solve the Linear programming problem using
Primal to dual conversion calculator
Type your linear programming problem
OR
Total Variables :
Total Constraints :
Click On Generate
Mode :
Fraction
Decimal
Solve after converting Min function to Max function
Zj-Cj (display in steps)
Alternate Solution (if exists)
Artificial Column Remove
Subtraction Steps
Tooltip for calculation steps
Highlight dependent cells
Find
1. Simplex (BigM) method
2. TwoPhase method
3. Dual simplex method
4. Integer simplex method
5. Graphical method
6. Primal to Dual
7. Branch and Bound method
8. 0-1 Integer programming problem
max z = x1 - x2 + 3x3
subject to
x1 + x2 + x3 <= 10
2x1 - x2 - x3 <= 2
2x1 - 2x2 - 3x3 <= 6
and x1,x2,x3 >= 0
min z = 3x1 - 2x2 + 4x3
subject to
3x1 + 5x2 + 4x3 >= 7
6x1 + x2 + 3x3 >= 4
7x1 - 2x2 - x3 <= 10
x1 - 2x2 + 5x3 >= 3
4x1 + 7x2 - 2x3 >= 2
and x1,x2,x3 >= 0
min z = x1 + 2x2
subject to
2x1 + 4x2 <= 160
x1 - x2 = 30
x1 >= 10
and x1,x2 >= 0
min z = x1 - 3x2 - 2x3
subject to
3x1 - x2 + 2x3 <= 7
2x1 - 4x2 >= 12
-4x1 + 3x2 + 8x3 = 10
and x1,x2 >= 0 and x3 unrestricted in sign
max z = x1 - 2x2 + 3x3
subject to
-2x1 + x2 + 3x3 = 2
2x1 + 3x2 + 4x3 = 1
and x1,x2,x3 >= 0
max z = 3x1 + x2 + 2x3 - x4
subject to
2x1 - x2 + 3x3 + x4 = 1
x1 + x2 - x3 + x4 = 3
and x1,x2 >= 0 and x3,x4 unrestricted in sign
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