Efficient reformulation and solution of a nonlinear PDE-controlled flow network model (Q841133)
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scientific article; zbMATH DE number 5603877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Efficient reformulation and solution of a nonlinear PDE-controlled flow network model |
scientific article; zbMATH DE number 5603877 |
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Efficient reformulation and solution of a nonlinear PDE-controlled flow network model (English)
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14 September 2009
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The authors suggest a mixed-integer program for the optimization of a nonlinear flow network. Under some assumptions on the cost functional, they show the equivalence with a linear program whose solution is computationally much cheaper. The theoretical findings are supported by numerical results.
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optimal control
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flow network
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mixed-integer program
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linear program
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numerical results
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