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Books > Science & Mathematics > Mathematics > Optimization
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Mathematical Optimization of Water Networks (Paperback, 2012 ed.)
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Mathematical Optimization of Water Networks (Paperback, 2012 ed.)
Series: International Series of Numerical Mathematics, 162
Expected to ship within 10 - 15 working days
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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).
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