Abstract: Methods and systems are described for integrating Multi-Objective Optimization (MOO) with a Constraint Management System (CMS) so as to rapidly and flexibly search large design spaces and focus on “interesting” designs as determined by user-specified criteria. An exemplary method embeds the value of a trade space and its trade-off envelope within the same CMS network used to calculate the values of the points in the trade space itself. The exemplary method supports automatic variation of the resulting trade-off analyses in response to variations in upstream parameters, assumptions, and/or requirements not explicitly used in the optimization problem but which nevertheless impact the results. When mathematically feasible, the CMS can back-solve for values of one or more of the upstream parameters so that one or more selected attributes of the trade-off envelope achieve user-specified values.