A Fuzzy Approach to Bi-Objective Newsboy Problem

Year 2018, Volume: 3 Issue: 2, 35 - 42, 28.10.2018

Ahmet Öğütlü , Servet Hasgül

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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