Rafael Caballero Fernández

A Graphic Search Based on Active Sets for Nonlinear Convex Multiple Objective Programming with Linear Constraints

The aim of this paper is to present an algorithm which makes possible the determination or approximation of the efficient set for a problem of nonlinear convex multiple objective programming, with linear constraints, based on the general idea of the active set methods in nonlinear programming. Along the process, the efficient set of the problem is delimited; giving the sections of its contour placed on the boundary of the feasible set, and those which lie in the interior of X. To this end, we calculate the initial and final points of each boundary section, using comparative static techniques, and approximate the interior sections.

Estrategias óptimas de publicidad y precio

ResumenEl modelo de control óptimo no lineal, considerado en este artículo, posee una variable de estadox proporción de clientes y dos variables de control: preciop y gastos en publicidadu. Realizando un análisis de estabilidad en diferentes planos de fase se demuestra, bajo ciertas hipótesis, que es óptimo introducir un producto en el mercado con un precio reducido y realizando una fuerte inversión al comienzo de la campaña.AbstractThe optimal control of nonlinear model, considerate in this paper, has one state variablex proportion of customers and two control variables: pricep and advertising intensityu. Making a stability analysis in the different phase diagrams, it can be show, under certain conditions, that it is optimal to enter the market with a low price and choosing a high advertising budget at the start of the campaign.