A Branch-and-Bound Approach to Mixed-Integer Optimal Control Using POD

Zitieren

Dateien zu dieser Ressource

Prüfsumme: MD5:8f12881fbac8748b142e126ef55dcc63

BACHMANN, Freya, 2017. A Branch-and-Bound Approach to Mixed-Integer Optimal Control Using POD [Master thesis]. Konstanz: Universität Konstanz

@mastersthesis{Bachmann2017Branc-43934, title={A Branch-and-Bound Approach to Mixed-Integer Optimal Control Using POD}, year={2017}, address={Konstanz}, school={Universität Konstanz}, author={Bachmann, Freya} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/43934"> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/43934/3/Bachmann_2-1m16ohd67jnfs7.pdf"/> <dcterms:title>A Branch-and-Bound Approach to Mixed-Integer Optimal Control Using POD</dcterms:title> <dc:creator>Bachmann, Freya</dc:creator> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-11-21T10:12:38Z</dcterms:available> <dc:language>eng</dc:language> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/43934"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:rights>terms-of-use</dc:rights> <dcterms:rights rdf:resource="https://kops.uni-konstanz.de/page/termsofuse"/> <dcterms:abstract xml:lang="eng">In this thesis we consider a mixed-integer optimal control problem motivated by energy-efficient building operations. The aim is to choose suitable insulation materials for outer walls from a set of integer values and determine an underfloor heating strategy to maintain a desired temperature in a room while keeping the costs reasonably low. Mathematically, this translates into a mixed-integer optimal control problem that combines two major fields, mixed-integer programming (for which we will present the branch-and-bound algorithm) and optimal control (which we will speed-up by a reduced-order model approach). The branch-and-bound algorithm performs a tree-search by iteratively solving relaxed problems (without integrality constraint, i.e. restricted linear-quadratic optimal control problems) for various lower and upper bounds on the boundary control. Consequently, many state and adjoint equations have to be solved which is time-consuming as their finite element discretizations lead to large degrees of freedom. Therefore, we apply a model reduction technique using proper orthogonal decomposition providing a significant speed-up alongside small errors as few specific ansatz functions can capture the main characteristics of the system dynamics. We discuss strategies for branching decisions and node selection in the branch-and-bound algorithm and present numerical experiments for different scenarios.</dcterms:abstract> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-11-21T10:12:38Z</dc:date> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/43934/3/Bachmann_2-1m16ohd67jnfs7.pdf"/> <dcterms:issued>2017</dcterms:issued> <dc:contributor>Bachmann, Freya</dc:contributor> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 21.11.2018 (Informationen über die Zugriffsstatistik)

Bachmann_2-1m16ohd67jnfs7.pdf 23

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto