Çeşitli makine kısıtlarını içeren optimum hücre tasarım problemi için matematik programlama modeli

Hücresel üretim sistemleri, firmaların sürekli gelişen teknolojiye ve rekabete adaptasyon sağlayabilmesi amacıyla kullanılan ve benzer işlemlerin benzer ortamlarda üretilmesi esasına dayalı olan sistemlerdir. Hücresel üretim sistemlerinin etkin bir şekilde kurulması ve tasarlanması ile işlemlerin daha hızlı ve daha az maliyetle gerçekleşmesi sağlanabilmektedir. Bu çalışmada, kalemleri, üretim maliyeti, makinelerin hazırlık maliyeti, makinelerin bakım maliyeti ve personel maliyeti olan en uygun toplam tasarım maliyetini hedefleyen bir matematik programlama modeli oluşturulmaktadır. Bu modelde, makinelerin kapasiteleri, hücreyi oluşturmak için gerekli olan en az makine sayısı, her makine türünün en fazla atanabileceği hücre sayısı, parçaların en az kaç makinede işlem görebileceği, parçaların en fazla kaç makinede işlem görebileceği ve parçaların hangi makinelerde işlem göremeyeceği gibi çeşitli kısıtlar dikkate alınmaktadır. Önerilen bu model, geliştirilen beş farklı parçadan ve dokuz farklı olmak üzere toplamda on bir makineden oluşan bir örnek problem üzerinde uygulanmaktadır. Bu problemin çözümünde GAMS optimizasyon programı kullanılmış olup bir saniyeden daha kısa bir sürede toplam tasarım maliyetini en küçükleyen hücre tasarımı sonuçları ortaya çıkmaktadır.

Anahtar Kelimeler:

Hücresel üretim sistemleri, Hücre tasarımı, Optimizasyon, Matematik programlama modeli

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