A genetic algorithm/mathematical programming approach to solve a two-level soft drink production problem

Autor(es)

Motta Toledo, Claudio Fabiano ^[1] ; de Oliveira, Lucas ^[2] ; Pereira, Rodrigo de Freitas ^[1] ; Franca, Paulo Morelato ^[3] ; Morabito, Reinaldo ^[4]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Estadual Campinas, Inst Comp, BR-13083852 Campinas, SP - Brazil

^[3] State Univ Sao Paulo, Dept Math & Comp Sci, BR-19060900 Presidente Prudente, SP - Brazil

^[4] Univ Fed Sao Carlos, Dept Prod Engn, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Computers & Operations Research; v. 48, p. 40-52, AUG 2014.
• Citações Web of Science: 14

Resumo

This study applies a genetic algorithm embedded with mathematical programming techniques to solve a synchronized and integrated two-level lot sizing and scheduling problem motivated by a real-world problem that arises in soft drink production. The problem considers a production process compounded by raw material preparation/storage and soft drink bottling. The lot sizing and scheduling decisions should be made simultaneously for raw material preparation/storage in tanks and soft drink bottling in several production lines minimizing inventory, shortage and setup costs. The literature provides mixed-integer programming models for this problem, as well as solution methods based on evolutionary algorithms and relax-and-fix approaches. The method applied by this paper uses a new approach which combines a genetic algorithm (GA) with mathematical programming techniques. The GA deals with sequencing decisions for production lots, so that an exact method can solve a simplified linear programming model, responsible for lot sizing decisions. The computational results show that this evolutionary/mathematical programming approach outperforms the literature methods in terms of production costs and run times when applied to a set of real-world problem instances provided by a soft drink company. (C) 2014 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 10/10133-0 - Problemas de corte, empacotamento, dimensionamento de lotes e programação da produção, e suas integrações em contextos industriais e logísticos
• Beneficiário: Reinaldo Morabito Neto
• Modalidade de apoio: Auxílio à Pesquisa - Temático