  The operation of water distribution networks is a complex procedure aimed at
efficiently delivering consumers with adequate water quantity while ensuring
its safe quality. An added challenge is the dependency of the water quality
dynamics on the system's hydraulics, which influences the performance of the
water quality controller. Prior research has addressed either solving the
optimum operational hydraulic setting problem or regulating the water quality
dynamics as separate problems. Additionally, there have been efforts to couple
these two problems and solve one compact problem resulting in trade-offs
between the contradictory objectives. In contrast, this paper takes a novel
approach by examining the water quality dependency on the hydraulics from a
control-theoretic standpoint. More specifically, we explore the influence of
accountability for water quality controllability improvement when addressing
the pump scheduling problem. We examine its effects on the cumulative cost of
the interconnected systems as well as the subsequent performance of the water
quality controller. To achieve this, we develop a framework that incorporates
different controllability metrics within the operational hydraulic optimization
problem; its aim is attaining an adequate level of water quality control across
the system. We assess the aforementioned aspects' performance on various scaled
networks with a wide range of numerical scenarios.
