An MINLP model for the minimization of installation and operational costs in water distribution networks
Keywords:
water distribution networks, mathematical programming, unknown flow directions, installation costsAbstract
Water Distribution Networks (WDN) are systems responsible for potable water transportation in urban centers and industrial installations and are formed by several components. WDN synthesis can be formulated as an optimization problem with Mixed Integer Non-Linear Programming (MINLP) formulation, involving the minimization of the network installation cost, considering the tubes length and known flow directions and a discrete set of available diameters. However, in real WDN flow directions are unknown. In the present paper it is proposed an optimization model for WDN synthesis considering unknown flow directions, using disjunctive programming techniques and a deterministic approach. Three case studies are explored to test the model applicability and global optimization techniques are used in the problem solution.
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