Article | REF: AF1251 V1

Optimization in integers

Author: Michel MINOUX

Publication date: April 10, 2008

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2. Example of a production engineering application

2.1 First model: continuous (convex) optimization problem

A set of three tasks T 1, T 2, T 3 is to be completed in minimum time. Tasks T 2 and T 3 can be executed simultaneously, but can only be started once task T 1 has been completed.

For each task i, the runtime q i is assumed to be a known function:

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Example of a production engineering application