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

作者：Motta Toledo Claudio Fabiano; de Oliveira Lucas; Pereira Rodrigo de Freitas; Franca Paulo Morelato; Morabito Reinaldo

来源：Computers & Operations Research, 2014, 48: 40-52.

DOI：10.1016/j.cor.2014.02.012

• Genetic algorithms
• Mathematical programming
• Mathheuristics
• Soft drink industry
• Production planning
• Lot sizing and scheduling

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.

• 出版日期2014-8