Mathematical programming-based approaches for multi-facility glass container production planning

Author(s)

Motta Toledo, Claudio Fabiano ^[1] ; Arantes, Marcio da Silva ^[1] ; Bressan Hossomi, Marcelo Yukio ^[1] ; Almada-Lobo, Bernardo ^[2]

Affiliation

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

^[2] Univ Porto, Fac Engn, INESC TEC, P-4200465 Oporto - Portugal

• Document type: Journal article
• Source: Computers & Operations Research; v. 74, p. 92-107, OCT 2016.
• Web of Science Citations: 8

Abstract

This paper introduces a mathematical model (together with a relaxed version) and solution approaches for the multi-facility glass container production planning (MF-GCPP) problem. The glass container industry covers the production of glass packaging (bottle and jars), where a glass paste is continuously distributed to a set of parallel molding machines that shape the finished products. Each facility has a set of furnaces where the glass paste is produced in order to meet the demand. Furthermore, final product transfers between facilities are allowed to face demand. The objectives include meeting demand, minimizing inventory investment and transportation costs, as well as maximizing the utilization of the production facilities. A novel mixed integer programming formulation is introduced for MF-GCPP and solution approaches applying heuristics and meta-heuristics based on mathematical programming are developed. A multi-population genetic algorithm defines for each individual the partitions of the search space to be optimized by the MIP solver. A variant of the fix-and-optimize improvement heuristic is also introduced. The computational tests are carried on instances generated from real-world data provided by a glass container company. The results show that the proposed methods return competitive results for smaller instances, comparing to an exact solver method. In larger instances, the proposed methods are able to return high quality solutions. (C) 2016 Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 11/15534-5 - Hybrid heuristics and metaheuristics applied to the multi-level capacitated lot sizing problem
• Grantee: Claudio Fabiano Motta Toledo
• Support type: Regular Research Grants
• FAPESP's process: 12/00997-2 - Study and development of hybrid heuristics and metaheuristics to the multi-level capacitated lot sizing problem
• Grantee: Marcelo Yukio Bressan Hossomi
• Support type: Scholarships in Brazil - Scientific Initiation
• FAPESP's process: 11/15581-3 - Environment for development of methods applied to optimization problems
• Grantee: Márcio da Silva Arantes
• Support type: Scholarships in Brazil - Master