Water Distribution System Design Under Uncertainties
A chance constrained model is presented for the minimum cost design
of water distribution networks. This methodology attempts to account for the uncertainties
in required demands, required pressure heads, and pipe roughness coefficients.
The optimization problem is formulated as a nonlinear programming model
which is solved using a generalized reduced gradient method. Details of the mathematical
model formulation are presented along with example applications. Results
illustrate that uncertainties in future demands, pressure head requirements, and pipe
roughness can have significant effects on the optimal network design and cost.
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