Why does Gurobi struggle with a simple nonlinear constraint y^3?

回答済み

Perapat Prugsamas

2026年03月27日 13:45

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I’m trying to solve a simple optimization problem using Gurobi, but I’m running into issues when including a cubic nonlinear constraint.

Problem formulation:

Minimize:
f(x, y) = x + 2y

Subject to:
-1 ≤ y³ ≤ 1
0.3 ≤ x ≤ 1

Issue:

Gurobi does not allow me to directly include constraints like:
y³ ≥ -1 or y³ ≤ 1

It seems nonlinear constraints must be written in a specific form, and general inequality constraints involving nonlinear expressions are not accepted.

Questions:

- Why does Gurobi not support nonlinear inequality constraints like y³ ≤ 1 directly?
- How should constraints involving simple nonlinear functions like y³ typically be handled in Gurobi?
- More generally, how does Gurobi handle nonlinear (especially nonconvex) functions?

Any clarification or guidance would be appreciated.

関連

• Nonlinear

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• 

  Riley Clement

  • Gurobi Staff

  2026年03月28日 23:06

  Hi Perapat,

  Although Gurobi has supported nonlinear constraints for a few years now, the new interface, which allows us to write expressions like this:

  model.addGenConstrNL(y2, nlfunc.sin(2.5 * x1) + x2,

  was only introduced recently in v13.

  We are continuing to work on it and forming constraints such as y³ ≤ 1 directly will be likely possible in a future release.

  To learn more about the interface, and how nonlinear functions are handled, please refer to the following resources

  * Genconstrnl Examples
  * What's New in Version 13 - Nonlinear
  * Nonlinear solution strategies (reference manual)
  * Tech Talk - A Practical Tour Through Non-convex Optimization (spatial branching 18m25s)

  - Riley

   

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