Fragility-based lot-sizing in veterinary pharmaceutical plants under demand uncertainty

Autor(es)

Campos, Rafael A. ; Caunhye, Aakil M. ; Alem, Douglas ; Munari, Pedro

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH; v. N/A, p. 37-pg., 2023-08-22.

Resumo

We study a production lot-sizing problem inspired by a veterinary pharmaceutical plant in which demands are uncertain. First, we develop a deterministic capacitated lot-sizing model for the production of animal pesticides, performed in three machine-specific stages. Second, we propose a traditional robust optimisation formulation following the popular budget-of-uncertainty approach. Third, we derive a novel fragility-based approach that circumvents well-known issues with traditional robust optimisation approaches, such as the estimation of budgets of uncertainty, the over-conservatism of robust solutions and the sensitivity of solutions to the decision maker's risk attitude. The fragility-based approach is grounded in the idea of minimising violations, over the full uncertainty support, from a user-specified cost target. It avoids the estimation of budgets of uncertainty and produces less conservative solutions via explicit modelling of constraint violation. We demonstrate the effectiveness of our approach on instances built upon real data provided by our industrial partner, a major player in the Brazilian veterinary pharmaceutical sector. The results show that our fragility-based approach reduces average total costs across all instances and maintains greater model stability under different target estimations. It also preserves cost savings when bottlenecks are introduced in production and when inventory costs and capacities are varied. (AU)

• Processo FAPESP: 19/23596-2 - Problemas de roteamento de veículos ricos: modelos e algoritmos para variantes determinísticas e estocásticas
• Beneficiário: Pedro Augusto Munari Junior
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/22235-6 - Roteamento de aeronaves sob incertezas via otimização robusta
• Beneficiário: Rafael Ajudarte de Campos
• Modalidade de apoio: Bolsas no Brasil - Mestrado
• Processo FAPESP: 16/01860-1 - Problemas de corte, empacotamento, dimensionamento de lotes, programação da produção, roteamento, localização e suas integrações em contextos industriais e logísticos
• Beneficiário: Reinaldo Morabito Neto
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs