Is Rose deterministic?

No. Rose is not deterministic.

The Rose algorithm introduces randomness when making tie-breaking decisions during the optimization process. As a result, running the solver multiple times may yield slightly different solutions or run durations. However, these differences are usually negligible, especially if you're solving to a small optimality gap. In most cases, the solution will remain consistent, and the randomness helps the solver reach solutions more quickly. Differences in solution quality due to this randomness are rare.