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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.)

Classification and literature review of integrated lot-sizing and cutting stock problems

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Melega, Gislaine Mara [1] ; de Araujo, Silvio Alexandre [1] ; Jans, Raf [2, 3]
Total Authors: 3
[1] UNESP Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] HEC Montreal, Montreal, PQ H3T 2A7 - Canada
[3] CIRRELT, Montreal, PQ H3T 2A7 - Canada
Total Affiliations: 3
Document type: Review article
Source: European Journal of Operational Research; v. 271, n. 1, p. 1-19, NOV 16 2018.
Web of Science Citations: 7

The aim of this paper is to classify the literature related to the integration between the lot-sizing and cutting stock problem. A deterministic mathematical model, that considers multiple dimensions of integration and comprises several aspects found in practice, is proposed. This model is used as a framework to classify the current literature in this field. The main classification of the literature is organized around two types of integration. In a planning horizon which consists of multiple periods, the inventory provides a link between the periods. This integration across time periods constitutes the first type of integration. The proposed model also considers the production of different types of items at three different levels: objects are fabricated or purchased and next cut into pieces which are then assembled into final products. The integration between these three production levels constitutes the second type of integration. The classification indicates that, even though many papers in the current literature analyze an integrated lot-sizing and cutting stock problem, they vary widely with respect to the level of integration on the time and production level dimensions. Furthermore, our analysis indicates that the current models also consider varying assumptions with respect to the inventory, the production capacities and the setups. Finally, we point out some possible interesting areas for future research. (C) 2018 Elsevier B.V. All rights reserved. (AU)

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