BOZULMA ETKİLİ VE TEK BAKIM EKİPLİ BAKIM ÇİZELGELEME PROBLEMİ İÇİN BİR MATEMATİKSEL MODEL

Yıl 2023, Cilt: 31 Sayı: 3, 882 - 892, 16.12.2023

Tuğba Saraç , Feriştah Özçelik

https://doi.org/10.31796/ogummf.1247165

Öz

Karmaşıklığı arttırması nedeniyle makine çizelgeleme literatüründe genellikle, bakım ve kaynak kısıtları göz ardı edilmekte ya da sadece birisi dikkate alınmaktadır. Ancak özellikle bakım sırasında kaynak ihtiyacının oluştuğu durumlarda bu iki kısıt grubunun birlikte ele alınması kritiktir. Bu çalışmada ilişkisiz paralel makine çizelgeleme problemi, bakım ve kaynak kısıtları altında ele alınmıştır. Ele alınan problemde bakım, bir zaman penceresi içinde gerçekleştirilmelidir ve süresi, bakım zamanına bağlı olarak bozulmaktadır. Bu problemin çözümü için bir matematiksel model önerilmiştir. Önerilen modelin hangi boyuta kadar çözülebildiğini analiz edebilmek amacıyla rassal türetilen test problemleri kullanılmıştır. Önerilen model ile en fazla 25 işli problemlerin çözümlerini elde edebilmek mümkün olabilmiştir.

Anahtar Kelimeler

İlişkisiz paralel makine çizelgeleme problemi, Kaynak kısıtı, Planlı bakım, Süre bozulması

A MATHEMATICAL MODEL FOR MAINTENANCE SCHEDULING PROBLEM WITH DETERIORATION AND SINGLE MAINTENANCE CREW

Öz

Because of its complexity, maintenance, and resource constraints are often ignored in the machine scheduling literature, or only one of them is considered. However, it is critical to consider these two constraint groups together, especially when resources are needed during maintenance. In this study, the unrelated parallel machine scheduling problem is handled under both maintenance and resource constraints. In the considered problem, maintenance must be performed within a time window and its duration increases as the maintenance time gets longer. A mathematical model is proposed to solve this problem. Randomly generated test problems are used to analyze the problem size that can be solved. With the proposed model, it was possible to obtain solutions for problems up to 25 jobs.

Anahtar Kelimeler

Unrelated parallel machine scheduling problem, Resource constraint, Preventive maintenance, Deterioration

Kaynakça

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