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İKİ ÖLÇÜTLÜ ZAMANA-BAĞIMLI ÖĞRENME ETKİLİ ÇİZELGELEME PROBLEMİ

A BICRITERIA SCHEDULING PROBLEM WITH A TIME-DEPENDENT LEARNING EFFECT

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Abstract (2. Language): 
In traditional scheduling problems, most literature assumes that the processing time of a job is fixed. However, there are many situations where the processing time of a job depends on the starting time or the position of the job in a sequence. In such situations, the actual processing time of a job may be more or less than its normal processing time if it is scheduled later. This phenomenon is known as the ''learning effect". In this study, we introduce a time-dependent learning effect into a bicriteria single-machine scheduling problem. The objective function of the problem is minimization of the maximum earliness and number of tardy. A non-linear programming model is developed for the problem which belongs to NP-hard class. Also the model is tested on an example.
Abstract (Original Language): 
Çizelgeleme literatürünün çoğunda işlerin işlem zamanları sabit kabul edilmiştir. Ancak işlerin işlem zamanlarında, başlama zamanı veya pozisyonuna bağlı olarak azalma görülebilmekterdir. Bu olgu literatürde öğrenme ekisi olarak bilinmektedir. Bu çalışmada da iki ölçütlü zamana-bağımlı öğrenme etkili tek makineli çizelgeleme problemi ele alınacaktır. Ele alınan problemin amaç fonksiyonu ise maksimum erken bitrme geciken iş sayısını enküçüklemektir. NP-zor yapıda olan problemi çözmek için doğrusal-olmayan programlama modeli geliştirilmiştir. Geliştirilen model bir örnek üzerinde uygulanmıştır.
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