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:

f_{i} : ℝ^{+} \to ℝ^{+}

continuous and decreasing...

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Example of a production engineering application

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References

(1) - BALAS (E.) - An Additive Algorithm for Solving Linear Programs with Zero-one Variables. - Operations Research, 13, 4, p. 517-546 (1965).
(2) - BALAS (E.) - Disjunctive Programming. - Annals of Discrete Mathematics,...

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