Binary Variable Activation

Answered

Juan De Dios Diaz

October 26, 2023 02:20

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Hi, i need to activate the Variable Z[i,j] according to:

G(i,j)>MG(i,j), then Z[i,j]=1

G(i,j)<=MG(i,j) then Z[i,j]=0

I need to do it with the big M technique

PD: G(i,j) and MG(i,j) are parameters.

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• Official comment

  

  Simranjit Kaur

  • Gurobi Staff

  November 13, 2026 01:35

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  Simranjit Kaur

  • Gurobi Staff

  October 26, 2023 04:29 Edited

  Hi Juan,

  If G[i,j] and MG[i,j] are parameters, you do not need a Big-M constraint to model your condition. You can simply compare the values of G[i,j] and MG[i,j] and set the binary variable Z[i,j] to zero or one accordingly.

  Best regards,
  Simran

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  Juan De Dios Diaz

  October 26, 2023 04:53

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  Can you give me de code line please?

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  Simranjit Kaur

  • Gurobi Staff

  October 26, 2023 05:04

  You can do something like this in Python, for example,

  if G[i,j] > MG[i,j]:
    model.addConstr(Z[i,j]==1)
  else
    model.addConstr(Z[i,j]==0)

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