Abstract
A Pareto optimization problem formulation is described for the classic building design problem of choosing a building form, enclosure and siting given several different and conflicting performance requirements. The problem is defined as the determination of the fenestration, insulation, shape, massing and orientation of an air-conditioned parallelepiped office building for thermal, daylight, cost and spatial efficiency demands. The problem formulation uses a form of Pareto optimal dynamic programming optimization. It is shown that computational feasibility depends on the ordering of stages in the formulation to minimize the dimension of Pareto sets in the output states as well as the standard dynamic programming conditions of monotonicity and separability.