Is it possible to have constraints such as z^1.5 <= v in the model

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Ebru Angun

2021年10月15日 16:12

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I have a problem with constraints: z^1.5 <= v.

It is possible to write power constraints as z^1.5 = v.

But, is it possible to have constraints such as z^1.5 <= v, where z, v >=0?

Is it possible to have z^1.5 <= vx, where x is binary?

 

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  Simranjit Kaur

  • Gurobi Staff

  2025年06月23日 02:45 編集済み

  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?.
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  Maliheh Aramon

  • Gurobi Staff

  2021年10月16日 00:09 編集済み

  Hi Ebru, 

  Have you tried using the GRBModel.addGenConstrPow() method?  To model \( z^{1.5} \leq v\), you can have:

  z = model.addVar(name="z")
  y = model.addVar(name="y") 
  v = model.addVar(name="v")
  
  model.addGenConstrPow(z, y, 1.5, name="map_power") # y = z^1.5
  model.addConstr(y <= v, name="inequality_constr")

  Gurobi versions 9.0 and later support bilinear constraints. To model \( z^{1.5} \leq vx\), you can have:

  x = model.addVar(vtype=GRB.BINARY, name="x")
  model.addConstr( y <= v * x, name="bilinear_constr")

  Best regrads,

  Maliheh

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  Ebru Angun

  2021年10月17日 08:51

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  Thank you Maliheh.

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