# Process Optimization for Cutting Steel-Plates

### Markus Rothe, Michael Reyer, Rudolf Mathar

#### Abstract

In this paper, we consider the two-stage three-dimensional guillotine cutting stock problem with usable leftover. There are two properties that distinguish our problem formulation from others. First, we allow the items to be rotated. Second, we consider the case in which leftover material is to be reused in subsequent production cycles. Third, we solve the problem in three dimensions. The optimization problem is formulated as a mixed integer linear program. To verify the approach, several examples show that our formulation performs well.

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#### Paper Citation

#### in Harvard Style

Rothe M., Reyer M. and Mathar R. (2017). **Process Optimization for Cutting Steel-Plates** . In *Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-218-9, pages 27-37. DOI: 10.5220/0006108400270037

#### in Bibtex Style

@conference{icores17,

author={Markus Rothe and Michael Reyer and Rudolf Mathar},

title={Process Optimization for Cutting Steel-Plates},

booktitle={Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2017},

pages={27-37},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006108400270037},

isbn={978-989-758-218-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - Process Optimization for Cutting Steel-Plates

SN - 978-989-758-218-9

AU - Rothe M.

AU - Reyer M.

AU - Mathar R.

PY - 2017

SP - 27

EP - 37

DO - 10.5220/0006108400270037