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 |
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| container_title | Mathematical methods of operations research (Heidelberg, Germany) |
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| creator | Geißler, Björn Kolb, Oliver Lang, Jens Leugering, Günter Martin, Alexander Morsi, Antonio |
| description | 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. |
| doi_str_mv | 10.1007/s00186-011-0354-5 |
| format | Article |
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| subjects | 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 |
| title | Mixed integer linear models for the optimization of dynamical transport networks |
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