This paper presents a unified approach for evaluating the performance of different model classes and solution procedures. The approach Links of London demonstrated by investigating the suitability of three models within a comprehensive computational study. Garcia et al. present a class of column generation CG algorithms for nonlinear programs. Its main motivation from a theoretical viewpoint is that under some circumstances, finite convergence can be achieved, in much the same way as for the classic simplicial decomposition method the main practical motivation is that within the class there are certain nonlinear column generation problems Links of London Charms can accelerate the convergence of a solution approach which generates a sequence of feasible points. This algorithm can, for example, accelerate simplicial decomposition schemes by making the subproblems nonlinear. This paper complements the theoretical study on the asymptotic and finite convergence of these methods given in with an experimental study focused on their computational efficiency. Three types of numerical experiments are conducted. The first group of test problems has been designed to study the parameters involved in these methods. The second group has been designed to investigate the role and the computation of the prolongation of the generated columns to the relative boundary. The last one has been designed to carry out a more complete investigation of Links of London Mobile Charm difference in computational efficiency between linear and nonlinear column generation approaches. In order to carry out this investigation, we consider two types of test problems the first one is the nonlinear, capacitated singlecommodity network flow problem of which several largescale instances with varied degrees of nonlinearity and total capacity are constructed and investigated, and the second one is a combined traffic assignment model. PUBLICATION ABSTRACT Shortest path problems appear as subproblems in numerous optimization problems. In most papers concerning multiple objective shortest path problems, additivity of the objective is a defacto assumption, but in many reallife situations objectives and criteria, can be nonadditive. The purpose of this paper is to give a general framework Links of London Lolly Pop Charm dominance tests for problems involving a number of nonadditive criteria. These dominance tests can help to eliminate paths in a dynamic programming framework when using multiple objectives. Results on reallife multiobjective problems containing nonadditive criteria are reported.
Commentaires
Il n'y a aucun commentaire sur cet article.