Mathematical Optimization of Water Networks

1. Front Matter

   Pages I-XIV

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2. Optimization of Water Supply Networks

   1. Front Matter

      Pages 1-1

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   2. Modeling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems

      • Gerd Steinebach, Roland Rosen, Annelie Sohr

      Pages 3-15

   3. Simulation and Continuous Optimization

      • Oliver Kolb, Jens Lang

      Pages 17-33

   4. Mixed Integer Optimization of Water Supply Networks

      • Antonio Morsi, Björn Geißler, Alexander Martin

      Pages 35-54

   5. Nonlinear and Mixed Integer Linear Programming

      • Oliver Kolb, Antonio Morsi, Jens Lang, Alexander Martin

      Pages 55-65

3. Optimal Control of Sewer Networks

   1. Front Matter

      Pages 67-67

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   2. Optimal Control of Sewer Networks Problem Description

      • Steffen Heusch, Holger Hanss, Manfred Ostrowski, Roland Rosen, Annelie Sohr

      Pages 69-82

   3. Modeling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows

      • Saeid Moradi Ajam, Yongqi Wang, Martin Oberlack

      Pages 83-109

   4. Optimal Control of Sewer Networks Engineers View

      • Steffen Heusch, Manfred Ostrowski

      Pages 111-127

   5. Real-Time Control of Urban Drainage Systems

      • Johannes Hild, Günter Leugering

      Pages 129-150

   6. Performance and Comparison of BlueM.MPC and Lamatto

      • Steffen Heusch, Johannes Hild, Günter Leugering, Manfred Ostrowski

      Pages 151-165

   7. Multicriteria Optimization in Wastewater Management

      • Kerstin Dächert, Kathrin Klamroth

      Pages 167-196

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).

• first-order hyperbolic equations
• mixed integer programming
• operations research
• optimization and variational techniques
• programming involving graphs or networks
• water industry and water technology

From the reviews:

“Mathematical Optimization of Water Networks presents new approaches to the simulation and optimization techniques used in water supply and sewage systems. … it is an important reference to help academia and professionals appreciate new approaches in simulation and optimization techniques.” (Shoou-Yuh Chang, Interfaces, Vol. 43 (6), November-December, 2013)

• Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany

  Alexander Martin, Günter Leugering, Antonio Morsi

• Department of Mathematics and Informatic, University of Wuppertal, Wuppertal, Germany

  Kathrin Klamroth

• Numerical Analysis and Scientific Comput, TU Darmstadt, Darmstadt, Germany

  Jens Lang

• , Department of Mechanical Engineering, Technische Universität Darmstadt, Darmstadt, Germany

  Martin Oberlack

• Ingenieurhydrologie und Wasserbewirtscha, TU Darmstadt, Darmstadt, Germany

  Manfred Ostrowski

• CT T DE TC 3, Siemens AG, Munich, Germany

  Roland Rosen

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