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Efficient multilevel MINLP strategies for solving large combinatorial problems in engineeringKravanja, Stojan ; Soršak, Aleksander, 1966- ; Kravanja, ZdravkoThis paper reports on the experience gained in solving large combinatorial problems by using the Outer-Approximation žEquality-Relaxation (OAžER) algorithm in two multilevel MINLP strategies. The ... first one is a Linked Multilevel Hierarchical Strategy (LMHS) and the second one is a Reduced Integer Space (RIS) strategy. Both strategies are used to decompose the original MINLP problem in a hierarchical manner into several MINLP levels thatare much easier to solve than the original one. While the first LMHS strategy can be applied to problems that contain only simple mixed-integer constraints, e.g. standard dimensions, the RIS strategy can be used to solve problems with more complex mixed-integer constraints, e.g. different design equations for alternative units. The LMHS strategy is rigorous and can solve convex problems to global optimal solutions. On the other hand, when the RIS strategy is applied for the solution of large combinatorial problems, the global optimality cannot be guaranteed, but very good solutions can be obtained. The synthesis problem of a roller steel gate for a hydroelectric power station with 19623 binary variables is presented to illustrate the LMHS strategy, whilst the synthesis problem of a heat exchanger network comprising different types of exchangers with 1782 binary variables is presented to present the RIS strategy.Vir: Optimization and engineering. - ISSN 1389-4420 (Vol. 4, no. 1/2, 2003, str. 97-151)Vrsta gradiva - članek, sestavni delLeto - 2003Jezik - angleškiCOBISS.SI-ID - 7870486
Avtor
Kravanja, Stojan |
Soršak, Aleksander, 1966- |
Kravanja, Zdravko
Teme
kemijska procesna tehnika |
kombinatorna optimizacija |
mešano celoštevilčno nelinearno programiranje |
večnivojska strategija |
sinteza konstrukcij |
toplotna integracija |
mreža toplotnih izmenjevalcev |
chemical processing |
combinatorial optimization |
mixed integer nonlinear programming |
multilevel strategy |
structural synthesis |
heat integration |
heat exchanger networks |
MINLP |
HEN
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Kravanja, Stojan | 07599 |
Soršak, Aleksander, 1966- | 17867 |
Kravanja, Zdravko | 06005 |
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