Discovering Design Principles From Dominated Solutions

Discovering Design Principles for Soft Multi-objective Decision Making

Decision-making tasks sometimes involve soft objectives. They are soft in the sense that they contain uncertainty, imprecision or vagueness. For example, decisions on built environment aim to maximize comfort or other experiential qualities. Pareto-optimal solutions to such problems can be found using multi-objective evolutionary search together with other soft computing methods. Beyond optimal...

From Molecular Phylogenetics to Quantum Chemistry: Discovering Enzyme Design Principles through Computation

An integrated approach to automated innovization for discovering useful design principles: Case studies from engineering

Computational optimization methods are most often used to find a single or multiple optimal or near-optimal solutions to the underlying optimization problem describing the problem at hand. In this paper, we elevate the use of optimization to a higher level in arriving at useful problem knowledge associated with the optimal or near-optimal solutions to a problem. In the proposed innovization pro...

Design from Zeroth Principles

A successful design accounts for the structure of the problem it is aimed at solving. When it is a human-directed design, this includes the expectations of its users. How do we arrive at such a design? One approach starts from first principles (e.g., simplicity, unity, symmetry, balance) to evaluate the quality of proposed designs. Here, we introduce design from zeroth principles, a form of hum...

Well-dispersed subsets of non-dominated solutions for MOMILP ‎problem

This paper uses the weighted L$_1-$norm to propose an algorithm for finding a well-dispersed subset of non-dominated solutions of multiple objective mixed integer linear programming problem. When all variables are integer it finds the whole set of efficient solutions. In each iteration of the proposed method only a mixed integer linear programming problem is solved and its optimal solutions gen...