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arXiv · 1401.3654

A MILP model for an extended version of the Flexible Job Shop Problem

Ernesto G. Birgin·Paulo Feofiloff·Cristina G. Fernandes·Everton L. de Melo·Marcio T. I. Oshiro·Débora P. Ronconi
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Abstract

A MILP model for an extended version of the Flexible Job Shop Scheduling problem is proposed. The extension allows the precedences between operations of a job to be given by an arbitrary directed acyclic graph rather than a linear order. The goal is the minimization of the makespan. Theoretical and practical advantages of the proposed model are discussed. Numerical experiments show the performance of a commercial exact solver when applied to the proposed model. The new model is also compared with a simple extension of the model described by Özgüven, Özbakir, and Yavuz (Mathematical models for job-shop scheduling problems with routing and process plan flexibility, Applied Mathematical Modelling, 34:1539--1548, 2010), using instances from the literature and instances inspired by real data from the printing industry.

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Ernesto G. Birgin, Paulo Feofiloff, Cristina G. Fernandes, Everton L. de Melo, Marcio T. I. Oshiro, Débora P. Ronconi. 2014-01-15. A MILP model for an extended version of the Flexible Job Shop Problem. https://doi.org/10.1007/s11590-013-0669-7

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