How to formulate the nested summation constraint with couple of linear constraints?

Umair Sindhu

July 20, 2020 19:32

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Dear All 

I want to calculate the sum S(t,p) such that couple of linear inequalities. The summation is iterate over three variables I, j, and k. 

Whereas t and p are the inputs and fixed. And Delta(p,k) is a piece-wise function which gives 0 if p == k other-wise 1.

Such that couple of linear inequalities constraints which filter out the i, j, k variables. 

I think the constraint can be expressed as follows 

s(t,p) = for i in range(l-1)

               for j in range (m-1)

                   for k in range (n-1)

                        couple of linear constraints 

                            if (p == k):

                               Delta(p,k) = Delta(p,k) 

                            else 

                              Delta(p,k) = Delta(p,k) +1 

 

How can I formulate this constraint in Gurobi python? 

Thanks 

Umair

          

 

 

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• Official comment

  

  Simranjit Kaur

  • Gurobi Staff

  December 06, 2024 00:43

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  Umair Sindhu

  July 21, 2020 02:07

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  Follow up on my question.

  Can I formulate the above-mentioned constraint as an In-Out function which takes t  and  p as input arguments, and return the value of Delta(p , k ) ? 

  Please let me know if you require some more information about my problem. 

   

  Thanks

   

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