Mixed integer linear models for the optimization of dynamical transport networks

作者：Geissler Bjoern^*; Kolb Oliver; Lang Jens; Leugering Guenter; Martin Alexander; Morsi Antonio

来源：Mathematical Methods of Operations Research, 2011, 73(3): 339-362.

DOI：10.1007/s00186-011-0354-5

• Mixed integer linear programming
• Piecewise linear approximation
• Gas network optimization
• Water network optimization

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.

• 出版日期2011-6