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Nonlinear and mixed integer linear programming. (English) Zbl 1259.90137
Martin, Alexander (ed.) et al., Mathematical optimization of water networks. Basel: Birkhäuser (ISBN 978-3-0348-0435-6/hbk; 978-3-0348-0436-3/ebook). ISNM. International Series of Numerical Mathematics 162, 55-65 (2012).
Summary: In this chapter, we compare continuous nonlinear optimization with mixed integer optimization of water supply networks by means of a meso scaled network instance. We introduce a heuristic approach, which handles discrete decisions arising in water supply network optimization through penalization using nonlinear programming. We combine the continuous nonlinear and the mixed integer approach introduced in Chapter 3 to incorporate the solution quality. Finally, we show results for a real municipal water supply network.
For the entire collection see [Zbl 1252.65003].

MSC:
90C30 Nonlinear programming
90C11 Mixed integer programming
90C90 Applications of mathematical programming
Software:
DICOPT; Gurobi; KNITRO
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