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water supply --- design --- Models --- computer applications --- -628.15 --- Water distribution systems. Local networks. Distribution and service mains --- 628.15 Water distribution systems. Local networks. Distribution and service mains --- Water resources development --- Water-supply engineering --- Water --- 628.15 --- Hydrology --- Engineering, Water-supply --- Civil engineering --- Engineering --- Hydraulic engineering --- Mathematical models --- Distribution&delete& --- Purification --- Distribution --- Mathematical models. --- Water - Distribution - Mathematical models --- Water-supply engineering - Mathematical models --- Water resources development - Mathematical models

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Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. The networks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex model systems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades; usually with very limited direct cooperation with applied mathematics.  The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has been carried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and direct connection to the practice of water management has been established by involving application-oriented know-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamic transportation systems and optimization as well as control of hybrid systems.  Most of the presented research has been supported by the joint project „Discret-continuous optimization of dynamic water systems“ of the federal ministry of education and research (BMBF).

Mathematical optimization. --- Mathematics. --- Optimization. --- Water -- Distribution -- Mathematical models. --- Water --- Sewerage --- Mathematical optimization --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Environmental Engineering --- Distribution --- Mathematical models --- Mathematical models. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Water-supply. --- Computer mathematics. --- Calculus of variations. --- Water Industry/Water Technologies. --- Computational Mathematics and Numerical Analysis. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematics, general. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Hydrology --- Computer science --- Math --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Isoperimetrical problems --- Variations, Calculus of --- Availability, Water --- Water availability --- Water resources --- Natural resources --- Public utilities --- Water resources development --- Water utilities