The multiobjective shortest path problem (MSPP) consists of finding the best nondominated path linking two specified nodes in a network where k > 1 different criteria are considered for the arc costs. Solving the MSPP implies determining all the nondominated paths; there may be many such paths, making the selection process a very hard task to accomplish. A traditional way of dealing with such a...

This paper addresses the problem of computing minimum risk paths by taking as objective the expected accident cost. The computation is based on a dynamic programming formulation which can be considered an extension of usual dynamic programming models: path costs are recursively computed via functions which are assumed to be monotonic. A large part of the paper is devoted to analyze in detail th...

Multiobjective optimization of a set of N identical reverse-flow cyclone separators in parallel was carried out by using the nondominated sorting genetic algorithm (NSGA). Two objective functions were used: the maximization of the overall collection efficiency and the minimization of the pressure drop. Nondominated Pareto optimal solutions were obtained for an industrial problem in which 165 m3...

The problem of finding a minimal cost-reliability ratio path is considered. The optimal solution to this problem is shown to map into an extreme supported non-dominated objective point in the objective space of the biobjective shortest path problem. Different forms of reliability are presented. We assume that this reliability does not change over time. We employ a parametric network simplex alg...

An optimal robust state feedback tracking controller is introduced to control a biped robot. In the literature, the parameters of the controller are usually determined by a tedious trial and error process. To eliminate this process and design the parameters of the proposed controller, the multiobjective evolutionary algorithms, that is, the proposed method, modified NSGAII, Sigma method, and MA...