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The operation of water distribution networks is a complex procedure aimed atefficiently delivering consumers with adequate water quantity while ensuringits safe quality. An added challenge is the dependency of the water qualitydynamics on the system's hydraulics, which influences the performance of thewater quality controller. Prior research has addressed either solving theoptimum operational hydraulic setting problem or regulating the water qualitydynamics as separate problems. Additionally, there have been efforts to couplethese two problems and solve one compact problem resulting in trade-offsbetween the contradictory objectives. In contrast, this paper examines thedependency and influence from a control-theoretic standpoint. Morespecifically, we explore the influence of accountability for water qualitycontrollability improvement when addressing the pump scheduling problem. Weexamine its effects on the cumulative cost of the interconnected systems aswell as the subsequent performance of the water quality controller. To achievethis, we develop a framework that incorporates different controllabilitymetrics within the operational hydraulic optimization problem; its aim isattaining an adequate level of water quality control across the system. Weassess the aforementioned aspects' performance on various scaled networks witha wide range of numerical scenarios.

Quality-Aware Hydraulic Control in Drinking Water Networks via Controllability Proxies