A Numerical Method for the Continuous Leontief Production Model with Quadratic Objective Function

ISBN: 978-981-08-8407-9

Authors: Ching-Feng Wen, Chia-Cheng Liu, Yan-Kuen Wu and Yung-Yih Lur

Abstract:

A continuous Leontief production model with quadratic objective function is discussed in this paper. We propose a discrete approximation procedure to find numerical solutions of this model. By our constructive manner, the provided computational procedure can yield feasible numerical solutions with pre-defined error bound. Some numerical examples are provided to implement our proposed method and to show the quality of the proposed error bound.

Keywords: Continuous Leontief production model, Continuous time linear programming problems, Continuous-time nonlinear programming problems, Infinite-dimensional linear programming problems