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Other titles in the International Series of Numerical Mathematics series:
International Series of Numerical Mathematics #162: Mathematical Optimization of Water Networksby Alexander Martin
Synopses & Reviews
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.
This book connects mathematics with civil engineering, applying complex modeling to support optimal decisions in water management. Covers mixed-integer optimization, multi-objective and facility location optimization, as well as control of hybrid systems.
Table of Contents
Part I Optimization of Water Supply Networks.- Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems.- Simulation and Continuous Optimization.- Mixed Integer Optimizationof Water Supply Networks.- Nonlinear and Mixed Integer Linear Programming.- Part II Optimal Control of Sewer Networks.- Optimal Control of Sewer Networks Problem Description.- Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows.- Optimal Control of Sewer Networks Engineers View.- Real-Time Control of Urban Drainage Systems.- Performance and Comparison of BlueM.MPC and Lamatto.- Multicriteria Optimization in Wastewater Management.
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