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Analysis of machine flexibility for the lot sizing problem in unbalanced systems

Grant number: 19/01145-9
Support type:Scholarships in Brazil - Master
Effective date (Start): May 01, 2019
Effective date (End): March 31, 2021
Field of knowledge:Engineering - Production Engineering
Principal Investigator:Diego Jacinto Fiorotto
Grantee:Gabriel de Souza Amaro
Home Institution: Faculdade de Ciências Aplicadas (FCA). Universidade Estadual de Campinas (UNICAMP). Limeira , SP, Brazil
Associated research grant:16/01860-1 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings, AP.TEM

Abstract

The lot sizing problem consists of determining the quantity of products to be produced in each period of a finite time horizon, in order to meet the demand an optimize an objective function, for example, to minimize costs. With the natural evolution of the industrial decisions-making process due, among others factors, the strong competition imposed by the globalized market, different strategies have been used to improve the decisions, making them more complex. Among these strategies, recently it has appeared studies which consider that some data, although deterministic, have certain flexibility, making the problem similar to what happens in practice. This project is in line with this trend of the evolution of the decision process. Despite the relevance, we have not found in the literature works that make a detailed study about the benefits of adding flexibility in lot sizing problems in unbalanced systems, in which the amount of machines and items is not the same. In the standard lot sizing problem on parallel machines, each item can be produced on any of the machines and incurs a setup cost and time before production. In this case we have complete machine flexibility. However, in practice, it can be very costly to install machines that have complete flexibility, especially if the products are very different. Therefore, it might be interesting to only implement a limited amount of flexibility (each machine can produce only certain types of items). In this research project we intend to help fill this gap in the lot sizing literature with the study of new flexibility configurations applied to this problem. (AU)