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

Umair Sindhu

• July 20, 2020 19:32

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

          

 

 

0

• Official comment

  

  Simranjit Kaur

  Gurobi Staff

  • December 06, 2024 00:43

  This post is more than three years old. Some information may not be up to date. For current information, please check the Gurobi Documentation or Knowledge Base. If you need more help, please create a new post in the community forum. Or why not try our AI Gurobot?.
• 

  Umair Sindhu

  • July 21, 2020 02:07

  

  

  

  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

   

  0

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