A multiobjective integrated model for lot sizing and cutting stock problems

Abstract

In recent years, researchers have investigated a variety of approaches to integrating lot sizing and cutting stock problems due to their high importance in the manufacturing industry. Although the mono-objective integrated problem has been considered an excellent alternative for minimising global costs, it does not include all the multiple criteria involved in the manufacturing process. Thus, to address this issue, we use a multiobjective approach and explain its importance in providing various answers to the decision maker through the Pareto-optimal solution set. We analyse existing trade-offs and correlations between each cost of the integrated problem and the related decision variables. Several computational tests are performed, which validate the efficacy of our strategy.

Keywords:

• Manufacturing
• lot sizing problems
• cutting stock problems
• integrated problems
• multiobjective programming problems

Acknowledgments

The authors are indebted to the anonymous reviewers for their helpful comments.

Disclosure Statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The first author thanks CAPES (master’s program scholarships). The second author is grateful to FAEPEX-Unicamp (grants 519.292-0285/15 and 519.292-885/15). The third author wishes to thank FAPESP (grant 2015/02184-7) and FAEPEX-Unicamp (grant 519.292-262/15). The fourth author is grateful to FAEPEX-Unicamp (grants 519.292-0285/15 and 519.292-885/15).