Paralel Makina Çizelgeleme Problemi için bir Karma Tamsayılı Programlama Modeli: Ortak Kaynak Kullanımı

Öz

Paralel makina çizelgeleme problemlerinde, bazı işler ortak kaynak kullanıyorlarsa bu işleri aynı anda çizelgelemek mümkün değildir. Örneğin, eğer iki plastik parça aynı kalıp ile üretiliyorsa biri üretilirken diğeri kalıbı beklemek zorundadır. Paralel makinaların olduğu pek çok üretim sisteminde, işler kalıp, kreyn v.b. ortak kaynaklar kullanmaktadırlar. Bu çalışmada, ortak kaynak kullanan işlerin paralel makinalarda çizelgelenmesi problemi ele alınmıştır. Ele alınan problem için bir karma tamsayılı programlama modeli geliştirilmiştir. Önerilen modelin GAMS/Cplex ile çözüm performansı, rassal olarak türetilmiş küçük ve büyük boyutlu test problemleri kullanılarak test edilmiştir.

Anahtar Kelimeler

• Paralel makine çizelgeleme,Sıra bağımlı hazırlık süresi,Makine uygunluk kısıtları,Ortak kaynak kullanımı,Karma tamsayılı programlama

A Mix Integer Programming Model for Parallel Machine Scheduling Problem: Using Shared Resource

Abstract

In parallel machine scheduling problems, if jobs have shared resources, it is not possible to schedule these jobs at the same time. For instance, if same mold are used for producing two different plastic parts, one of the parts has to wait until the end of other part’s process. In production systems including parallel machines, in general, jobs use shared resources like mold, crane etc. In this study, an identical parallel machine scheduling problem with shared resources is considered. A mixed-integer programming model is developed for considered problem. The solving performance of proposed model by GAMS/Cplex solver was tested using randomly generated small and large-sized instances

Keywords

• Parallel machine scheduling problem,Sequence dependent setup time,Machine eligibility restrictions,Using shared resources,Mixed integer programming

References

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