Lot sizing problem integrated with cutting stock problem in a paper industry: a multiobjective approach

TL;DR

This paper presents a multiobjective approach to simultaneously optimize lot sizing and cutting stock problems in the paper industry, highlighting trade-offs between costs and waste, and providing Pareto optimal solutions.

Contribution

The study introduces a multiobjective framework for integrated lot sizing and cutting stock problems, demonstrating its effectiveness through computational tests and analysis of trade-offs.

Findings

Decreasing production costs increases material waste.

Multiobjective approach provides multiple Pareto optimal solutions.

Trade-offs between costs and waste are significant in decision making.

Abstract

In this work, we use a multiobjective approach to address the lot sizing problem integrated with the cutting stock problem in a paper industry. We analyze the trade-offs and correlations which exist among the costs and their decision variables. Considering some of our computational results, if we decrease the production costs, then we increase the waste of material of the cutting process and vice versa. Thereby we show the importance of the multiobjective approach in allowing multiple answers to the decision maker, using Pareto optimal solutions set. Several tests were performed to check the quality of our approach.