Callback codes in continuous nonconvex QCQPs

Answered

Gonzalo Munoz

March 22, 2020 17:40

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Dear Gurobi Team,

I would like to add some inequalities with a callback in a fully continuous non-convex QCQP. I checked another post and it seems that it works almost the same way as for MIPs, but since the callback codes are mostly MIP-based, I would like to confirm with you what their meanings are in a continuous setting.

For example, would MIPNODE indicate a node of spatial branch-and-bound being explored? And would MIPSOL mean that a new feasible solution to the QCQP was found? 

Thank you very much for your help.

Best,

Gonzalo.

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• Official comment

  

  Simranjit Kaur

  • Gurobi Staff

  June 23, 2025 03:16 Edited

  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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  Eli Towle

  • Gurobi Staff

  March 24, 2020 19:57

  Hi Gonzalo,

  Yes, your interpretation is correct - the MIPNODE callback indicates the exploration of a spatial branch-and-bound node, and the MIPSOL callback indicates that a new QCQP-feasible solution was found. You can think of the continuous variables in the product terms of non-convex quadratic constraints or in a non-convex quadratic objective as "integer" variables, since Gurobi branches on these variables, effectively solving the problem like a MIP.

  Thanks,

  Eli

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  Gonzalo Munoz

  March 24, 2020 20:26 Edited

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  Great! Thank you very much, Eli.

  Best,

  Gonzalo.

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