Multiobjective design optimization based on satisfaction metrics

A formal multiobjective optimization method based on satisfaction metrics is presented for designing an engineering system with mathematical rigour. Three satisfaction-based design models with different tradeoff strategies are developed to facilitate the incorporation of satisfaction metrics into the context of design formulations. These models are derived from different combinations of satisfaction-incorporated design objectives, enabling the conversion of the original multiple objectives appropriately to a single unified goal. This makes it easy to apply any available single-objective mathematical programming solver for the resulting problem solving. Not only does the method generate a Pareto-optimal solution, but also it allows for the generation of many design alternatives in a feasible design space. A computational procedure is also suggested to guide design implementations. For illustration, an example is worked out to show the computational details and the utility of the newly developed design models.