Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Modeling without categorical variables: a mixed-integer nonlinear program for the optimization of thermal insulation systems
Abstract Optimal design applications are often modeled by using categorical variables to express discrete design decisions, such as material types. A disadvantage of using categorical variables is the lack of continuous relaxations, which precludes the use of modern integer programming techniques. We show how to express categorical variables with standard integer modeling techniques, and we illustrate this approach on a load-bearing thermal insulation system. The system consists of a number of insulators of different materials and intercepts that minimize the heat flow from a hot surface to a cold surface. Our new model allows us to employ black-box modeling languages and solvers and illustrates the interplay between integer and nonlinear modeling techniques. We present numerical experience that illustrates the advantage of the standard integer model.
Modeling without categorical variables: a mixed-integer nonlinear program for the optimization of thermal insulation systems
Abstract Optimal design applications are often modeled by using categorical variables to express discrete design decisions, such as material types. A disadvantage of using categorical variables is the lack of continuous relaxations, which precludes the use of modern integer programming techniques. We show how to express categorical variables with standard integer modeling techniques, and we illustrate this approach on a load-bearing thermal insulation system. The system consists of a number of insulators of different materials and intercepts that minimize the heat flow from a hot surface to a cold surface. Our new model allows us to employ black-box modeling languages and solvers and illustrates the interplay between integer and nonlinear modeling techniques. We present numerical experience that illustrates the advantage of the standard integer model.
Modeling without categorical variables: a mixed-integer nonlinear program for the optimization of thermal insulation systems
Abhishek, Kumar (Autor:in) / Leyffer, Sven (Autor:in) / Linderoth, Jeffrey T. (Autor:in)
Optimization and Engineering ; 11 ; 185-212
23.03.2010
28 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Mixed Integer Nonlinear Optimization of Soil Vapor Extraction System
| British Library Conference Proceedings | 1995
Reloading Nuclear Reactor Fuel Using Mixed-Integer Nonlinear Optimization
| Online Contents | 2001
Reloading Nuclear Reactor Fuel Using Mixed-Integer Nonlinear Optimization
| Springer Verlag | 2001