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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The integrated lot sizing and cutting stock problem with saw cycle constraints applied to furniture production

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Author(s):
Vanzela, Matheus ; Melega, Gislaine Mara ; Rangel, Socorro ; de Araujo, Silvio Alexandre
Total Authors: 4
Document type: Journal article
Source: Computers & Operations Research; v. 79, p. 148-160, MAR 2017.
Web of Science Citations: 7
Abstract

The integrated lot sizing and cutting stock problem is studied in the context of furniture production. The goal is to capture the interdependencies between the determination of the lot size and of the cutting process in order to reduce raw material waste and production and inventory costs. An integrated mathematical model is proposed that includes lot sizing decisions with safety stock level constraints and saw capacity constraints taking into account saw cycles. The model solution is compared to a simulation of the common practice of taking the lot size and the cutting stock decisions separately and sequentially. Given the large number of variables in the model, a column-generation solution method is proposed to solve the problem. An extensive computational study is conducted using instances generated based on data collected at a typical small scale Brazilian factory. It includes an analysis of the performance of the integrated approach against sequential approaches, when varying the costs in the objective function. The integrated approach performs well, both in terms of reducing the total cost of raw materials as well as the inventory costs of pieces. They also indicate that the model can support the main decisions taken and can bring improvements to the factory's production planning. (AU)

FAPESP's process: 14/17273-2 - Solution methods for the Integrated lot sizing and cutting stock problem
Grantee:Gislaine Mara Melega
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:José Alberto Cuminato
Support type: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 12/20631-2 - The Integrated Lot Sizing and Cutting Stock Problem
Grantee:Gislaine Mara Melega
Support type: Scholarships in Brazil - Doctorate