Over the past decade my research group has worked to operationalize our “many-objective visual analytics” (MOVA) framework for the design and management of complex engineered systems. Successful applications include urban water portfolio planning, satellite constellation design, airline scheduling, and product family design. The MOVA framework has four core components: (1) elicited problem conception and formulation, (2) many-objective search, (3) interactive visualization, and (4) negotiated design selection. Problem conception and formulation is the process of abstracting a practical design problem into a mathematical representation. We build on the emerging work in visual analytics to exploit interactive visualization of both the design space and the objective space in multiple heterogeneous linked views that permit exploration and discovery. Many-objective search produces a Pareto-approximate set of solutions from problem formulations that consider up to ten objectives based on current computational search capabilities. Negotiated design selection uses interactive visualization, reformulation, and optimization to discover desirable designs for implementation. Each of the activities in the framework is subject to feedback, both within the activity itself and from the other activities in the framework. These feedback processes transition formerly marginalized activities of reformulating the problem, refining the conceptual model of the problem, and refining the optimization, to represent the most critical process for innovating real world systems (i.e., learning how to frame the problems themselves).