The hybrid cellular automaton (HCA) method has been successfully applied to topology optimization using a uniform strain energy density distribution approach. In this work, a new set of design rules is derived from the first order optimality conditions of a multiobjective problem. In this new formulation, the final topology is proved to minimize both mass and strain energy. In the HCA algorithm, local design rules based on the CA paradigm are used to efficiently drive the design to optimality. In addition to the control-based techniques previously introduced, a new ratio technique is derived in this investigation. This work also compares the performance of the control strategies and the ratio technique.