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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.)

Mathematical model and solution approaches for integrated lot-sizing, scheduling and cutting stock problems

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Author(s):
Melega, Gislaine Mara [1] ; de Araujo, Silvio Alexandre [2] ; Morabito, Reinaldo [1]
Total Authors: 3
Affiliation:
[1] Univ Fed Sao Carlos, Dept Engn Prod, Rodovia Washington Luis Km 235, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ANNALS OF OPERATIONS RESEARCH; v. 295, n. 2, p. 695-736, DEC 2020.
Web of Science Citations: 5
Abstract

In this paper, we address a two-stage integrated lot-sizing, scheduling and cutting stock problem with sequence-dependent setup times and setup costs. In production stage one, a cutting machine is used to cut large objects into smaller pieces, in which cutting patterns are generated and used to cut the pieces, and should be sequenced in order to obtain a complete cutting plan for the problem. The cut pieces, from production stage one, are used to assemble final products in production stage two, where the final products are scheduled in order to meet the client's demands. To solve the two-stage integrated problem, we present solution methods based on a price-and-branch approach, in which a column generation procedure is proposed to generate columns and the integer problem is solved by decomposition solution approaches. A computational study is conducted using randomly generated data and an analysis showing the impact of the solution approaches in the two-stage integrated problem is presented. In addition, the performance and benefits of the integrated approach are compared to an empirical simulation of the common practice (sequential approach). (AU)

FAPESP's process: 18/19893-9 - Integrated lot-sizing and cutting stock problems
Grantee:Gislaine Mara Melega
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 16/01860-1 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
Grantee:Reinaldo Morabito Neto
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC