A MILP model for one dimensional cutting stock problem with adjustable leftover threshold and cutting cost

Anett Rácz

An International Journal of Optimization and Control: Theories & Applications ›› 2025, Vol. 15 ›› Issue (2) : 215 -224.

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An International Journal of Optimization and Control: Theories & Applications ›› 2025, Vol. 15 ›› Issue (2) :215 -224. DOI: 10.36922/ijocta.1660
RESEARCH ARTICLE
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A MILP model for one dimensional cutting stock problem with adjustable leftover threshold and cutting cost
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Abstract

This paper presents a MILP model for one dimensional cutting stock (CSP) problems that considers the most commonly used objectives all together. These are the minimization of the trim loss which is the leftover that is not large enough to be reused in the future, minimization of the total cutting cost and number of bars involved. We carried out computational experiments in order to find out the limitations of our model and to compare it with the most commom linear cutting software on the market.

Keywords

One dimensional cutting stock problem / Mixed-integer linear-programming / Optimization

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Anett Rácz. A MILP model for one dimensional cutting stock problem with adjustable leftover threshold and cutting cost. An International Journal of Optimization and Control: Theories & Applications, 2025, 15(2): 215-224 DOI:10.36922/ijocta.1660

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Declaration of competing interest

The author declare that they have no conflict of interest regarding the publication of this article.

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