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How to get step by step table in Simplex method in sagemath?

asked 2016-08-30 01:15:37 -0500

daviddgl gravatar image

updated 2016-08-30 02:06:39 -0500

I have used the following commands to solve a linear programing problem in sagemath.

>p = MixedIntegerLinearProgram(maximization=True, solver='GLPK')
>x = p.new_variable(nonnegative=True)
> p.set_objective(12*x[0] + 3*x[1]+x[2])
> p.add_constraint(10*x[0] + 2*x[1]+x[2]<= 100) 
>p.add_constraint(7*x[0] +3*x[1]+2*x[2] <= 77)
> p.add_constraint(2*x[0] + 4*x[1]+x[2] <= 80)
> print 'The optimal value:', QQ(p.solve())

It solved and gave the answer. But I want to generate a step by step table to explain to the students.

Is there any possible way to get the step by step table? or should we have to modify the program to do so?

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Probably you would have to write a completely new method, as MILP may not even use plain old simplex method internally, depending on the solver (it might, but I'm not sure of that). It certainly would not support a step-by-step table. However, such an addition would be of very useful pedagogical value for Sage-using educators! Edit - see tmonteil's answer instead!

kcrisman gravatar imagekcrisman ( 2016-08-30 07:33:54 -0500 )edit

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answered 2016-08-30 19:37:17 -0500

tmonteil gravatar image

Sage has an interactive simplex method designed for pedagogical use: you can have a look at this page

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But this is great - I should have actually looked!

kcrisman gravatar imagekcrisman ( 2016-08-31 14:45:37 -0500 )edit

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Asked: 2016-08-30 01:15:37 -0500

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Last updated: Aug 30 '16