2009Unpublished venueRequires access

A multiobjective approach for finding equivalent inverse images of Pareto-optimal objective vectors

Günter Rudolph, Mike Preuß

Open publisher page 12 citations

Abstract

Supply bottlenecks or sudden changes in legal regulations may lead to the situation that certain factor combinations for producing some commodity cannot be used any longer. In this case it is important to know alternative factor combinations leading to a product with identical characteristics represented by a Pareto-optimal objective vector of a multiobjective optimization problem. Here, we present a biobjective approach that finds equivalent inverse images of a given Pareto-optimal objective vector, provided they exist.

About this research paper

What this paper is about

Supply bottlenecks or sudden changes in legal regulations may lead to the situation that certain factor combinations for producing some commodity cannot be used any longer. In this case it is important to know alternative factor combinations leading to a product with identical characteristics represented by a Pareto-optimal objective vector of a multiobjective optimization problem. Here, we present a biobjective approach that finds equivalent inverse images of a given Pareto-optimal objective vector, provided they exist.

Why it matters

OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Supply bottlenecks or sudden changes in legal regulations may lead to the situation that certain factor combinations for producing some commodity cannot be used any longer. In this case it is important to know alternative factor combinations leading to a product with identical characteristics represented by a Pareto-optimal objective vector of a multiobjective optimization problem. Here, we present a biobjective approach that finds equivalent inverse images of a given Pareto-optimal objective vector, provided they exist.

Key concepts: Pareto principle, Multi-objective optimization, Pareto optimal, Mathematical optimization, Inverse, Pareto efficiency, Product (mathematics), Pareto analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
A multiobjective approach for finding equivalent inverse images of Pareto-optimal objective vectors — Research Paper | ScholarLens