A Fuzzy Approach to Bi-Objective Newsboy Problem

Abstract

The single period stochastic inventory problem is referred to as ”Newsboy” or ”Newsvendor” problem in the literature, and can be expressed as determining optimal order quantities under stochastic demand. Due to single order opportunity, the order quantity should be determined for the entire period. Most studies use the expected profit as the performance measure in the solution of the Newsboy problem. However, managers and decision makers may be more concerned with a probability level to achieve a specific target profit as another performance measure beside the expected profit. These two performance measures conflict with each other, and cannot be optimized simultaneously. Therefore, a Fuzzy Bi-Objective Programming model has been developed to find a good compromise solution to the problem. Two cases have been presented to show use of the proposed model under uniform and exponential demand.

Keywords

• Programming,Optimization,Newsboy,Stock Control,Inventory,Fuzzy

İki Amaçlı Gazeteci Çocuk Problemine Bulanık Bir Yaklaşım

Abstract

Literatürde “Newsboy” veya “Newsvendor” problemi olarak değinilen Tek Devrelik Stokastik Stok Problemi (TDSSP), rassal talep altında bir ürünün en iyi sipariş miktarını belirlemek olarak ifade edilebilir. Tek seferlik sipariş fırsatı olduğu için bütün devrenin sipariş miktarı belirlenmelidir. Çoğu çalışmada TDSPP’nin çözümünde beklenen kâr performans ölçüsü olarak kullanılır. Bununla birlikte yöneticiler ve karar vericiler beklenen kâr yanında başka bir performans ölçüsü olarak belirli bir hedef kar düzeyine ulaşma olasılığı ile daha fazla ilgilenebilirler. Bu iki performans ölçüsü birbiriyle çatışır ve genellikle eş anlı olarak eniyilenemez. Bu yüzden bu çalışmada probleme iyi bir uzlaşık çözüm bulmak için bir bulanık çok amaçlı programlama modeli geliştirilmiştir. Düzgün ve üstel dağılan talep altında önerilen modelin kullanımını göstermek için açıklayıcı iki örnek sunulmuştur.

Keywords

• Programlama,Optimizasyon,Gazeteci Çocuk,Stok Kontrol,Envanter,Bulanık

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