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The present paper will show that throughout the development of a deterministic algorithm the uniformity of the pressure service level in the Water Distribution Network (WDN) can be maximized. To obtain this in an optimal way, one must maximize an Index that relates the power by unit of weight dissipated by the network and the power by unit of weight available to dissipate by the same one (Resilience Index [2]), it improves the ability of the WDN to cope with possible failures in the system, slows down the pipes renovation processes and diminishes the level of leaks in the network. [ABSTRACT FROM AUTHOR]