İki Amaçlı Gazeteci Çocuk Problemine Bulanık Bir Yaklaşım

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.

Anahtar Kelimeler:

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

A Fuzzy Approach to Bi-Objective Newsboy Problem

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,

PDF

___

[1] B. Aytac and S. D. Wu, "Characterization of demand for short life-cycle technology products," Annals of Operations Research, vol. 203, pp. 255-277, 2013.
[2] S. Jahanbin, P. Goodwin, and S. Meeran, "New Product Sales Forecasting in the Mobile Phone Industry: an evaluation of current methods," International Institute of Forecasters,. 2013.
[3] M. Khouja, "The single-period (news-vendor) problem:literature review and suggestions for future research," Omega, vol. 27, pp. 537-553, 1999.
[4] G. Gallego and I. Moon, "The distribution free newsboy problem: review and extensions," Journal of the Operational Research Society, pp. 825-834, 1993.
[5] L. R. Weatherford and P. E. Pfeifer, "The economic value of using advance booking of orders," Omega, vol. 22, pp. 105-111, 1994.
[6] I. W. Kabak and A. I. Schiff, "Inventory models and management objectives," Sloan Management Review, vol. 19, pp. 53, 1978.
[7] W. Shih, "A general decision model for cost-volume-profit analysis under uncertainty," Accounting Review, vol. 31, pp. 687-706, 1979.
[8] B. E. Ismail and J. G. Louderback, "Optimizing and satisficing in stochastic cost-volume-profit analysis," Decision Sciences, vol. 10, pp. 205-217, 1979.
[9] H. S. Lau, "The newsboy problem under alternative optimization objectives," Journal of the Operational Research Society, vol. 31, pp. 525-535, 1980.
[10] H. S. Lau, "Some extensions of Ismail-Louderback’s stochastic cvp model under optimizing and satisficing criteria," Decision Sciences, vol. 11, pp. 557-561, 1980.
[11] R. E. Norland, "Refinements in the Ismail-Louderback stochastic cvp model," Decision Sciences, vol. 11, pp. 562-572, 1980.
[12] D. R. Finley and W. M. Liao, "A general decision model for cost-volume-profit analysis under uncertainty: a comment," The Accounting Review, vol. 56, pp. 400-403, 1981.
[13] A. H. L. Lau and H. S. Lau, "A comment on Shih’s general decision model for CVP analysis," Accounting Review, pp. 980-983, 1981.
[14] E. Sankarasubramanian and S. Kumaraswamy, "Note on Optimal Ordering Quantity to Realize a Pre-Determined Level of Profit," Management Science, vol. 29, pp. 512-514, 1983.
[15] R. B. Thakkar, D. R. Finley and W. M. Liao, "A stochastic demand CVP model with return on investment criterion," Contemporary Accounting Research, vol. 1, pp. 77-86, 1984.
[16] A. H. L. Lau and H. S. Lau, "Maximizing the probability of achieving a target profit in a two product newsboy problem," Decision Sciences, vol. 19, pp. 392-408, 1988.
[17] J. Li, H. S. Lau and A. H. L. Lau, "A two-product newsboy problem with satisficing objective and independent exponential demands," IIE transactions, vol. 23, pp. 29-39, 1991.
[18] C. S. Lin and D. E. Kroll, "The single-item newsboy problem with dual performance measures and quantity discounts," European Journal of Operational Research, vol. 100, pp. 562-565, 1997.
[19] T. M. Choi, "Handbook of newsvendor problems : models, extensions and applications.," New York ; London: Springer, 2012.
[20] R. E. Bellman and L. A. Zadeh, "Decision-Making In A Fuzzy Environment," Management Science, vol. 17, pp. B-141-B-164, 1970.