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Formulations and theoretical analysis of the one-dimensional multi-period cutting stock problem with setup cost

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Author(s):
Silva, Eduardo M. ; Melega, Gislaine M. ; Akartunali, Kerem ; de Araujo, Silvio A.
Total Authors: 4
Document type: Journal article
Source: European Journal of Operational Research; v. 304, n. 2, p. 18-pg., 2023-01-16.
Abstract

In this paper, we study the one-dimensional multi-period cutting stock problem with setup costs on cut-ting patterns. We present pattern-based and pseudo-polynomial formulations for the problem. Reformu-lations are also proposed to improve the lower bounds. We then present a thorough theoretical analysis to establish the strength of the various proposed formulations in comparison to each other. Finally, a computational analysis is conducted to complement the theoretical analysis and provide further insights with respect to the complexity and strength of the formulations.(c) 2022 Elsevier B.V. All rights reserved. (AU)

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
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