BİR ÜRETİM FİRMASINDA İŞ ÇİZELGELEME PROBLEMİ İÇİN BİR TAM SAYILI PROGRAMLAMA MODELİ

Yıl 2022, Sayı: 1, 110 - 119, 31.01.2022

Durdu Hakan Utku Karanfil Özyiğit Esra Yağmur Farizoğlu

https://doi.org/10.51551/verimlilik.819041

Öz

Amaç: Bu çalışmada, bir otomotiv firmasındaki işlerin toplam gecikmesini ve toplam tamamlanma süresini en aza indirmek amacıyla karma tamsayılı bir programlama modeli geliştirilmektedir. Üretim yoluyla sürekli müşteri talebine hızlı cevap verebilmek için, araştırma ve geliştirme departmanındaki mühendislerin çalışma programı esnek olarak değerlendirilmektedir.

Yöntem: Yapılan çalışmada, karma tamsayı programlama modeli, toplam gecikme ve toplam tamamlanma sürelerinin ağırlıklı değerlerini belirlemek için analitik hiyerarşi süreç modeli tarafından desteklenmektedir. Geliştirilen model, gerçek veriler kullanılarak otomotiv firmasına uygulanmakta ve problem GAMS CPLEX 24.1.3 yazılımı kullanılarak çözülmektedir.

Bulgular: Bu iş çizelgeleme probleminde önerilen model kullanılarak, toplam tamamlanma süresi 10149 saatten 622 saate, maksimum gecikme süresi 104 saatten 9 saate ve toplam geç tamamlanma süresi 860 saatten 13 saate düşürülmektedir.

Özgünlük: Önerilen model söz konusu otomotiv endüstrisi firmasının yapısına özgün olarak, makine çizelgeleme modelleme esaslarının ve Analitik Hiyerarşi Prosesinin birlikte iş çizelgelemesi amacıyla kullanılmaktadır.

Anahtar Kelimeler

Paralel Makine Çizelgeleme, Optimizasyon, Karışık Tamsayılı Programlama, Analitik Hiyerarşi Prosesi

A MIXED-INTEGER PROGRAMMING MODEL FOR THE JOB SCHEDULING PROBLEM IN A PRODUCTION COMPANY

Öz

Purpose: In this study, a mixed-integer programming model is developed to minimize the total lateness and total completion time of the jobs in an automotive company. In order to respond rapidly to the continuous customer demand through the production, the work schedule of engineers in the research and development department is considered flexibly.

Methodology: In the study, the mixed-integer programming model is supported by the analytical hierarchy process model to determine the weighted values of total tardiness and total completion times. The developed model is applied to the automotive company using the real data and the problem is solved using the GAMS CPLEX 24.1.3 software.

Findings: In this job scheduling problem, the total completion time is decreased to 622 hours from 10149 hours, maximum tardiness is decreased to 9 hours from 104 hours and total tardiness is decreased to 13 hours from 860 hours by using the proposed model.

Originality: The proposed model is used for the job scheduling purpose in compliance with the structure of the automotive industry company using the machine scheduling modeling principles and Analytical Hierarchy Process together.
Keywords: Parallel Machine Scheduling, Optimization, Mixed Integer Programming, Analytical Hierarchical Process.

Anahtar Kelimeler

Parallel Machine Scheduling, Optimization, Mixed Integer Programming, Analytical Hierarchy Process

Kaynakça

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