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LPaaS?

Optimisation fits the service model neatly: Submit your LP instance in some standard format, wait while it chugs away, then download the result (objective function value and variable assignments).

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If you (or your client) are ok with your data going off premises.

True. It might be possible to obfuscate in various ways, e.g., by replacing each variable with k fresh variables and only caring about their sum. But this makes your instance bigger (thus more expensive) and is maybe undone anyway by all their clever presolve tricks.

One day homomorphic encryption will solve all of this properly, but my understanding is we're a long way from that.

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