nonlinear side constraints

Nonlinear network flow problems with side constraints through projected Lagrangian methods

Publication TypeConference Paper
Year of Publication1997
AuthorsHeredia, F. J.
Conference NameEURO XV / INFORMS XXXIV Joint International Conference
Conference Date14-17/06/97
Conference LocationBarcelona, Spain
Type of WorkContributed oral presentation
Key Wordsnonlinear network flows; nonlinear side constraints; projected lagrangian methods; research
AbstractRecents numerical experiments show that the resolution of the Nonlinear network Flow problem with side Constraints (NFC) can be significantly sped up, when the side constraints are linear, by specialised codes based on a conjunction of primal partitioning techniques and active set methods. A natural extension of these methods one is to be used into a Projected Lagrangian Algorithm (PLA). A specialised (PLA) will solve the general (NFC) problem through the optimization of a sequence of (NFC) with linear side constraints, taking benefit of the efficiency of the linear side constraints codes. The description of this methodology will be presented together with the preliminary numerical results.
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Constrained nonlinear network flow problems through projected Lagrangian methods

Publication TypeConference Paper
Year of Publication2000
AuthorsHeredia, F. J.
Conference Name4th world conference on Circuits, Systems, Communications and Computers CSCC2000
Conference Date9-16/07/2000
Conference LocationGreece, Athens
Type of WorkContributed oral presentation
Key Wordsnonlinear network flows; nonlinear side constraints; research
AbstractRecents numerical experiments show that the resolution of the Nonlinear network Flow problem with side constraints (NFC) can be significantly sped up, when the side constraints are linear, by specialised codes based on a conjunction of primal partitioning techniques and active set methods. A natural extension of these methods one is to be used into a Projected Lagrangian Algorithm (PLA). A specialised (PLA) will solve the general (NFC) problem through the optimization of a sequence of (NFC) with linear side constraints, taking benefit of the efficiency of the linear side constraints codes. The description of this methodology will be presented together with the preliminary numerical results.
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SLOEGAT Project. Short and Long term Optimization of Energy Generation And Trading (Esprit 22695).

Publication TypeFunded research projects
Year of Publication1996
AuthorsF.-Javier Heredia
Type of participationFull time researcher
Duration12/1996-05/1999
Funding organizationEuropean Union, ESPRIT Programme
PartnersUniversidad Politécnica de Catalunya, Iberdrola, Universidad de Aachen, VEW Alemania, SIEMENS Austria
Full time researchers4 (DEIO/UPC)
Budget180.238€
Project codeEsprit 22695
Key Wordsresearch; nonlinear network flows; side constraints; power systems; transmission network; short-term hydrothermal coordination; long-term hydrothermal coordination project; public; competitive; EU
AbstractThe project aims to develop, implement and test, on a high performance computing platform, a software system to simulate and optimise the energy generation and trading coordination planning process in large electricity generating systems, both in the short (1 day-1 week) and medium to long term (one-two years). Special consideration will be given to this process to the growing importance of the energy trading problem in a deregulated market.
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Coordinación hidrotérmica a corto y largo plazo de la generación eléctrica en un mercado competitivo (DPI2002-03330).

Publication TypeFunded research projects
Year of Publication2002
AuthorsF.-Javier Heredia
Type of participationFull time researcher
Duration01/2003 -12/2005
Funding organizationMinisterio de Educación y Ciencia
PartnersDepartament d'Estadística i Investigació Operativa / Universitat Politècnica de Catalunya; Unión Fenosa
Full time researchers7
Budget85.000’00 €
Project codeDPI2002-03330
Key Wordsresearch; dual methods; lagrangian relaxation; unit commitment; power systems; transmission network; radar multiplier; project; public; competitive; micinn
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PLANNC: a projected Lagrangian based implementation for constrained nonlinear network flow problems

Publication TypeConference Paper
Year of Publication2001
AuthorsHeredia, F. J.
Conference Name20h IFIP TC7 Conference on System Modelling and Optimization
Conference Date23-27/07/2001
Conference LocationTrier, Germany.
Type of WorkContributed oral presentation
Key Wordsnonlinear network flows; nonlinear side constraints; research
AbstractRecents numerical experiments show that the resolution of the Nonlinear network Flow problem with side Constraints (NFC) can be significantly sped up, when the side constraints are linear, by specialised codes based on a conjunction of primal partitioning techniques and active set methods. A natural extension of these methods one is to be used into a Projected Lagrangian Algorithm (PLA). A specialised (PLA) will solve the general (NFC) problem through the optimization of a sequence of (NFC) with linear side constraints, taking benefit of the efficiency of the linear side constraints codes. The description of this methodology will be presented together with the preliminary numerical results.
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Numerical implementation and computational results of nonlinear network optimization with linear side constraints

Publication TypeBook Chapter
Year of Publication1991
AuthorsHeredia, F. J.; Nabona, N.
EditorP. Kall
Book TitleSystem Modelling and Optimization
PublisherSpringer Verlag
Key WordsNonlinear network flows
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Constrained nonlinear network flow problems through projected Lagrangian methods

Publication TypeBook Chapter
Year of Publication2000
AuthorsHeredia, F. J.
Book TitleProblems in Modern Applied Mathematics
CityNew York
PublisherWorld Scientific Engineering Society
Pages406-411
ISBN Number960-8052-15-7
Key Wordsresearch; nonlinear network flows; optimization; projected lagrangian
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