Integrated lot sizing problems and related problems

• Grant number: 14/01203-5
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2014
• End date: April 30, 2016
• Field of knowledge: Engineering - Production Engineering - Operational Research
• Principal Investigator: Silvio Alexandre de Araujo
• Grantee: Silvio Alexandre de Araujo
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

In 2007 the applicant has started to develop financial supported projects on lot sizing problems integrated to other problems of optimization of the productive system. The applicant has done several contributions on the integration of the lot sizing problem with the scheduling problem, with the cutting and packing problem and with decisions related to the transportation of the produced items. In general, such contributions to present heuristics methods specifics to each investigated problem.Aiming to study solution methods, the applicant engaged in 2009 in a post-doctorate with Professor Zeger Degraeve from London Business School with financial support of Fapesp. In this occasion the applicant also met Professor Raf Jans from Department of Logistics and Operations Management/HEC Montréal. Professors Zeger Degraeve and Raf Jans have published several papers on integrated lot sizing problems and also on solution methods for the lot sizing problems. Such methods are related to reformations and Lagrange relaxation combined (or not) with column generation.In this project we intent to carry on the researches that has been developed on integrated lot sizing problems, as well as, on solution methods studied on the post-doctorate. To do so, we intend to amplify the study on integrated lot sizing problem searching new mathematical models and solution methods applied to several industrial sectors. The aim is to propose and evaluate the efficiency of mathematical models that combine several aspects of the production planning. Related to the solution methods studied during the post-doctorate, we aim to continue the research by the application of these methods to the studied extensions of the lot sizing problem, such as, the parallel machines case; the case with several plants; and the integrated lot sizing problems with emphasis to the lot sizing problem integrated to the cutting and packing problem. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FIOROTTO, DIEGO JACINTO; JANS, RAF; DE ARAUJO, SILVIO ALEXANDRE. Process flexibility and the chaining principle in lot sizing problems. INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, v. 204, p. 244-263, OCT 2018. (13/00965-6, 14/01203-5, 10/16727-9)

MOLINA, FLAVIO; MORABITO, REINALDO; DE ARAUJO, SILVIO ALEXANDRE. MIP models for production lot sizing problems with distribution costs and cargo arrangement. Journal of the Operational Research Society, v. 67, n. 11, p. 1395-1407, NOV 2016. (10/10133-0, 14/01203-5)

DE ARAUJO, SILVIO ALEXANDRE; DE REYCK, BERT; DEGRAEVE, ZEGER; FRAGKOS, IOANNIS; JANS, RAF. Period Decompositions for the Capacitated Lot Sizing Problem with Setup Times. INFORMS JOURNAL ON COMPUTING, v. 27, n. 3, p. 431-448, SUM 2015. (14/01203-5)

FIOROTTO, DIEGO JACINTO; JANS, RAF; DE ARAUJO, SILVIO ALEXANDRE. An analysis of formulations for the capacitated lot sizing problem with setup crossover. COMPUTERS & INDUSTRIAL ENGINEERING, v. 106, p. 338-350, APR 2017. (13/00965-6, 14/01203-5, 10/16727-9)

GISLAINE MARA MELEGA; SILVIO ALEXANDRE DE ARAUJO; RAF JANS. COMPARISON OF MIP MODELS FOR THE INTEGRATED LOT-SIZING AND ONE-DIMENSIONAL CUTTING STOCK PROBLEM. Pesquisa Operacional, v. 36, n. 1, p. 167-196, 2016-04-00. (12/20631-2, 14/17273-2, 14/01203-5)

POLDI, KELLY CRISTINA; DE ARAUJO, SILVIO ALEXANDRE. Mathematical models and a heuristic method for the multiperiod one-dimensional cutting stock problem. ANNALS OF OPERATIONS RESEARCH, v. 238, n. 1-2, p. 497-520, MAR 2016. (15/05193-7, 10/10133-0, 14/01203-5)