Fiyat-Duyarlı Talep ve Tarama Kısıtı ile Bir Ekonomik Üretim Miktarı Modeli

Talep miktarının satış fiyatına karşı duyarlı olması ve kusurlu üretim varsayımlarının optimal politika üzerindeki etkisi birçok üretim probleminde ele alınmıştır. Bu modellerde, tarama işleminin üretim süresi sonunda tamamlandığı varsayılmıştır. Bu çalışmada, tek kalem ürünün tek bir makinede partiler halinde üretildiği bir üretim sistemi için talep miktarının satış fiyatının doğrusal bir fonksiyonu olduğu varsayımı ile bir ekonomik üretim miktarı modeli geliştirilmektedir. Üretim sürecinin kusurlu olduğu, tarama işleminin üretimden sonra da devam ettiği ve belirlenen kusurlu ürünlerin tarama süresi sonunda tek parti halinde indirimli fiyattan satıldığı varsayılmaktadır. Bu çalışmadaki temel amaç, toplam kârı maksimum yapacak üretim miktarı ve satış fiyatının belirlenmesidir. Optimal çözümler önerilen bir algoritma ile elde edilmektedir. Geliştirilen modelin geçerliliğini göstermek amacıyla duyarlılık analizlerine sahip sayısal bir örnek verilmektedir.

Anahtar Kelimeler:

Stok kontrolü, ekonomik üretim miktarı, kusurlu ürün, fiyatlandırma, fiyat-duyarlı talep, tarama

An Economic Production Quantity Model with Price-Sensitive Demand and Screening Constraint

There have been many production problems addressing the effects of price-sensitive demand and imperfect production on optimal policy. These models assumed that screening process is completed at the end of production process. In this paper, an economic production quantity model is developed for a production system where a single item is produced in batches in a single machine by assuming that demand is a linear function of selling price. It is also assumed that the production process is imperfect, the screening process continues after production and the defective products identified are sold as a single batch at a discounted price at the end of the screening period. The main objective of this study is to determine the production quantity and selling price such that the total profit is maximized. The optimal solutions are obtained with a proposed algorithm. A numerical example with sensitivity analysis is given to illustrate the effectiveness of the developed model.

Keywords:

Inventory control, economic production quantity, defective item, pricing, price-sensitive demand, screening,

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