Mathematical Optimization of Water Networks

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.

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).

Investigates water networks from a mathematical perspective Presents new insights and new methods The mathematical solutions presented may allow for quality guarantees Includes supplementary material: sn.pub/extras

Inhalt
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.