Mathematical Optimization of Water Networks

  • Alexander Martin
  • Kathrin Klamroth
  • Jens Lang
  • Günter Leugering
  • Antonio Morsi
  • Martin Oberlack
  • Manfred Ostrowski
  • Roland Rosen

Part of the International Series of Numerical Mathematics book series (ISNM, volume 162)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Optimization of Water Supply Networks

    1. Front Matter
      Pages 1-1
    2. Gerd Steinebach, Roland Rosen, Annelie Sohr
      Pages 3-15
    3. Oliver Kolb, Jens Lang
      Pages 17-33
    4. Antonio Morsi, Björn Geißler, Alexander Martin
      Pages 35-54
    5. Oliver Kolb, Antonio Morsi, Jens Lang, Alexander Martin
      Pages 55-65
  3. Optimal Control of Sewer Networks

    1. Front Matter
      Pages 67-67
    2. Steffen Heusch, Holger Hanss, Manfred Ostrowski, Roland Rosen, Annelie Sohr
      Pages 69-82
    3. Steffen Heusch, Manfred Ostrowski
      Pages 111-127
    4. Johannes Hild, Günter Leugering
      Pages 129-150
    5. Steffen Heusch, Johannes Hild, Günter Leugering, Manfred Ostrowski
      Pages 151-165
    6. Kerstin Dächert, Kathrin Klamroth
      Pages 167-196

About this book


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

Editors and affiliations

  • Alexander Martin
    • 1
  • Kathrin Klamroth
    • 2
  • Jens Lang
    • 3
  • Günter Leugering
    • 4
  • Antonio Morsi
    • 5
  • Martin Oberlack
    • 6
  • Manfred Ostrowski
    • 7
  • Roland Rosen
    • 8
  1. 1.Department of MathematicsUniversity of Erlangen-NurembergErlangenGermany
  2. 2.Department of Mathematics and InformaticUniversity of WuppertalWuppertalGermany
  3. 3.Numerical Analysis and Scientific ComputTU DarmstadtDarmstadtGermany
  4. 4.Department of MathematicsUniversity of Erlangen-NurembergErlangenGermany
  5. 5.Department of MathematicsUniversity of Erlangen-NurembergErlangenGermany
  6. 6., Department of Mechanical EngineeringTechnische Universität DarmstadtDarmstadtGermany
  7. 7.Ingenieurhydrologie und WasserbewirtschaTU DarmstadtDarmstadtGermany
  8. 8.CT T DE TC 3Siemens AGMunichGermany

Bibliographic information