Multiple response optimisation: Multiobjective stochastic programming methods

TL;DR

This paper models multiresponse surface problems as multiobjective stochastic optimization, proposing diverse solutions and highlighting key differences from existing methods, supported by a detailed numerical example.

Contribution

It introduces a novel approach to multiresponse surface optimization using multiobjective stochastic programming, with new solution strategies and comparative insights.

Findings

Different solution methods are proposed for the stochastic multiresponse problem.

Key differences between this approach and existing methods are identified.

A numerical example demonstrates the application of the proposed solutions.

Abstract

The multiresponse surface problem is modelled as one of multiobjective stochastic optimisation, and diverse solutions are proposed. Several crucial differences are highlighted between this approach and others that have been proposed. Finally, in a numerical example, some particular solutions are applied and described in detail.