Multi-product Production-Inventory Model and Analysis within the Context of Environmental Sensitivity
Harun Öztürk, Ph.D.
Author Profile
Harun Öztürk, Ph.D.
Assoc. Prof., Department of Business Administration, Faculty of Business Administration Suleyman Demirel University, Isparta, Turkiye, harunozturk@sdu.edu.tr
In recent years, accounting of carbon (CO2) emissions in the modeling of supply chains has become as important as achieving an effective coordination between supplier(s) and buyer(s). Because, carbon emissions are a measure of the sensitivity to the environment. In this study, a multi-product inventory problem containing defective products is considered under the assumptions of environmental sensitivity and limited storage space, and mathematical models are developed. The total cost of the problem comprise of cost of setup, cost of production, cost of screening, cost of disposal, cost of holding, cost of carbon emission and carbon emission tax. The optimal production cycle time and production quantities that minimize the expected total cost are obtained with the help of a developed algorithm. All calculations in the developed algorithm are performed using Microsoft Excel program. Two numerical examples with sensitivity analysis are provided to illustrate the results.
Çevreye Karşı Duyarlılık Kapsamında Çok Ürünlü Üretim Stok Kontrol Modeli ve Analizi
Öz
Son yıllarda, tedarik zincirlerinin modellenmesinde karbondioksit (CO2) gazı salınımının hesaplanması, tedarikçi(ler) ile alıcı(lar) arasında etkili bir koordinasyon sağlamak kadar önemli hale gelmiştir. Çünkü, karbon gazı emisyon miktarları, çevreye karşı duyarlılığın bir ölçütü olarak görülmektedir. Bu çalışmada, kusurlu ürünler içeren çok ürünlü stok problemi; çevreye karşı duyarlı olma ve sınırlı depolama alanı varsayımları altında ele alınmaktadır ve problemin matematiksel modelleri geliştirilmektedir. Problemdeki toplam maliyet; üretime hazırlık, üretim, tarama, hurda, stokta tutma, karbon emisyon ve emisyon vergi maliyetlerini içermektedir. Beklenen toplam maliyeti minimum yapacak optimal üretim çevrim süresi ve üretim miktarları, geliştirilen bir algoritma yardımıyla elde edilmektedir. Geliştirilen algoritmadaki tüm hesaplamalar, Microsoft Excel programı kullanılarak yapılmaktadır. Sonuçları göstermek amacıyla duyarlılık analizine sahip iki sayısal örnek çalışmada verilmektedir.
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