Welcome to or-tools-discuss, a forum for discussions about Operations Research and the OR-Tools software suite.

Some guidelines for effective conversations:

If you're having trouble solving an optimization problem, please include the smallest possible program that demonstrates the trouble, and which version of OR-Tools (e.g., 8.1) you're using.
If you're having trouble installing OR-Tools, please include the error message in your post and mention which version of OR-Tools you're using as well as your operating system (e.g., Ubuntu 18.04 LTS, 64 bit).
If you're wondering how to model a problem, please look at our examples and (for CP-SAT) samples on GitHub, and on our documentation site. It's good practice to start with a small example and gradually add complexity.
If you are also posting on StackOverflow or GitHub, please include cross-references (both here and there) to benefit future readers. GitHub is for problems with OR-Tools: performance issues, suspected bugs, and crashes. This forum is for questions about modeling, and everything else.
Be nice, and assume the best of intentions from other list members.

Google does not provide paid consulting services for OR-Tools. Sorry!

Cheers,

Google's Operations Research team

Minimize slack variable