Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
MODELING AND SOLVING OPEN SHOP COOPERATIVE TASK SCHEDULING PROBLEMS BASED ON SATISFIABILITY MODULO THEORIES
Yosuke KakiuchiKosuke KatoHideki Katagiri
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2018 年 81 巻 2 号 p. 183-193

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In the manufacturing process, it is necessary to schedule the processing order of machines in order to improve productivity. The scheduling can be modeled as an open shop scheduling problem. However, it has a constraint that multiple machines cannot process the same job at the same time, and is not suitable for cooperative works, such as software development or service engineering. In this paper, we propose a novel model of scheduling for cooperative works, based on an open shop scheduling problem. We also propose two formulations for the model to solve the problem with a Satisfiability Modulo Theories (SMT) solver. This paper aims to expand the range of the scheduling problem not only to manufacturing but also cooperative works.

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© 2018 International Society for Mathematical Sciences
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