Entropy-based Reliable Design Of Water
Distribution Networks
Author(s)
J. J. O. Sousa, M. C. Cunha & J. A. Sá Marques
Abstract
Water distribution networks are crucial for the wellbeing of communities, but
their construction involves huge investment. The need to optimize investments
has resulted in the development of methodologies to determine the minimum
cost design of these infrastructures. However, as cost minimization tends to
eliminate any redundancy in the networks, this kind of approach leads to less
reliable solutions. From the reliability point of view, an ideal water distribution
network should ensure reasonable service levels even when a failure occurs. But
such a scenario, if possible, would certainly imply an intolerable level of
investment. The following question therefore arises: by how much is it
reasonable to increase investment to reduce the risk of failure? Trying to help
decision makers answer this question, this work offers a tool to solve the reliable
design of water distribution networks problem. It is based on an optimization
model comprising two antagonistic objectives: minimizing the cost and
maximizing reliability (here indirectly evaluated by the network entropy). The
multiobjective problem is solved by the constraint method. The result is a set of
cost minimization problems, each constrained by a different minimum level of
entropy, which are solved by the Simulated Annealing method. This approach
leads to a set of solutions known as Pareto solutions. Each of these solutions
represents a different level of compromise between cost and reliability, and they
can be very helpful for decision makers.
Keywords: water distribution networks, optimization, simulated annealing,
reliability, entropy.
Keywords
water distribution networks, optimization, simulated annealing,
reliability, entropy.
Related Book
Other papers in this volume
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