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

Eduardo M. Silva, Gislaine M. Melega, Kerem Akartunalı and Silvio A. de Araujo

European Journal of Operational Research, 2023, vol. 304, issue 2, 443-460

Abstract: In this paper, we study the one-dimensional multi-period cutting stock problem with setup costs on cutting patterns. We present pattern-based and pseudo-polynomial formulations for the problem. Reformulations 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.

Keywords: Combinatorial optimization; Cutting; Cutting pattern setups; Strong reformulations (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:304:y:2023:i:2:p:443-460

DOI: 10.1016/j.ejor.2022.04.023

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