Mixed integer linear models for the optimization of dynamical transport networks

Mixed integer linear models for the optimization of dynamical transport networks

We introduce a mixed integer linear modeling approach for the optimization of dynamic transport networks based on the piecewise linearization of nonlinear constraints and we show how to apply this method by two examples, transient gas and water supply network optimization. We state the mixed integer...

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Veröffentlicht in:Mathematical methods of operations research (Heidelberg, Germany) Germany), 2011-06, Vol.73 (3), p.339-362
Hauptverfasser: Geißler, Björn, Kolb, Oliver, Lang, Jens, Leugering, Günter, Martin, Alexander, Morsi, Antonio
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Approximation
Business and Management
Calculus of Variations and Optimal Control
Optimization
Consumption
Friction
Integer programming
Linear programming
Mathematical models
Mathematics
Mathematics and Statistics
Mixed integer
Network management systems
Networks
Nonlinearity
Operations research
Operations Research/Decision Theory
Optimization
Original Article
Partial differential equations
Pipes
Public utilities
Reynolds number
Studies
Transport
Water supplies
Water supply
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Beschreibung
Zusammenfassung:We introduce a mixed integer linear modeling approach for the optimization of dynamic transport networks based on the piecewise linearization of nonlinear constraints and we show how to apply this method by two examples, transient gas and water supply network optimization. We state the mixed integer linear programs for both cases and provide numerical evidence for their suitability.
ISSN:1432-2994
1432-5217
DOI:10.1007/s00186-011-0354-5