Mehmet Onur Olgun

Transportation interval situations and related games

Basically, uncertainty is present in almost every real-world situation, it is influencing and questioning our decisions. In this paper, we analyze transportation interval games corresponding to transportation interval situations. In those situations, it may affect the optimal amount of goods and consequently whether and how much of a product is transported from a producer to a retailer. Firstly, we introduce the interval Shapley value of a game arising from a transportation situation under uncertainty. Secondly, a one-point solution concept by using a one-stage producere depending on the proportional, the constrained equal awards and the constrained equal losses rule is given. We prove that transportation interval games are interval balanced (

Forecasting of Turkey natural gas demand using a hybrid algorithm

\mathcal {I}

GRİ STOK MODELİNİN İŞBİRLİKÇİ OYUN TEORİSİ İLE MALİYET DAĞITIMLARININ İNCELENMESİ

I-balanced). Further, the nonemptiness of the interval core for the transportation interval games and some results on the relationship between the interval core and the dual interval optimal solutions of the underlying transportation situations are also provided. Moreover, we characterize the interval core using the square operator and addressing two scenarios such as pessimistic and optimistic.

Cooperative Grey Games: Grey Solutions and an Optimization Algorithm

In this paper, we extend mountain situations by using interval calculus. We define the interval Bird allocation and show that this allocation is a special core element of the interval cost game corresponding to an interval mountain situation. We deal with the interval cost sharing problem by introducing the cooperative interval cost game. Further, we consider a subset of the interval core of the related interval cost game. Each element of this set is extendable to a population monotonic interval allocation scheme or shortly pmias. Finally, we show that each interval core element of an interval connection game is extendable to bi-monotonic interval allocation scheme or shortly bi-mias.

Determination Of Improvement Priorities In Education With Importance-Satisfaction Analysis And Taguchi Method: A Case Study

ABSTRACT The basis of the energy management constitutes the forecasting of the need for energy as much as accurate. In this study, a hybrid genetic algorithm-simulated annealing (GA-SA) algorithm based on linear regression has been developed and coded as software to forecast natural gas demand of Turkey. The linear models, which are constructed by using the amounts of natural gas consumption for years between 1985 and 2000 as dependent variable, and gross national product, population, and growth rate as independent variables, are used to forecast the amount of natural gas consumption for years between 2001 and 2009. Then, the forecasts are compared with real amounts of consumptions and are analyzed statistically. Consequentially, it is observed that the GA-SA hybrid algorithm made forecasts with less statistical error against linear regression. The models were used to forecast Turkey’s natural gas demand under two different scenarios for years between 2010 and 2030.

AN APPLICATION OF SINGLE AND DOUBLE ACCEPTANCE SAMPLING PLANS FOR A MANUFACTURING SYSTEM

The Shapley value, one of the most common solution concepts of cooperative game theory is defined and axiomatically characterized in different game-theoretic models. Certainly, the Shapley value can be used in interesting sharing cost/reward problems in the Operations Research area such as connection, routing, scheduling, production and inventory situations. In this paper, we focus on the Shapley value for cooperative games, where the set of players is finite and the coalition values are interval grey numbers. The central question in this paper is how to characterize the grey Shapley value. In this context, we present two alternative axiomatic characterizations. First, we characterize the grey Shapley value using the properties of efficiency, symmetry and strong monotonicity. Second, we characterize the grey Shapley value by using the grey dividends.

İŞBİRLİKÇİ STOK OYUNLARI

Stok yonetimi calismalarinda birim zamanda ortalama toplam stok maliyetini ve depolanacak urun miktarini belirlemek firmalar icin onemli bir konudur. Ancak gercek hayatta stok maliyeti parametreleri tam olarak bilinemeyebilir fakat belirli aralik olarak tahmin edilebilir. Ayrica birden fazla firma ortak hedeflere sahip olan firmalar ile stok ve siparis maliyetlerinin azaltmak icin diger firmalar ile isbirligi (koalisyon) yoluna giderek giderlerini azaltabilirler. Bu calisma ile ayni sektorde faaliyet gosteren ve ayni urunleri siparis veren firmalarin bir araya gelerek ortak siparis verme durumunda olusacak toplam maliyetin firmalar arasinda nasil dagitilacagi konularina katki saglanmistir. Uygulama gelistirmek amaciyla av silahi sektorunde faaliyet gosteren ve ayni urunleri siparis eden uc firma incelenmistir. Ayrica gelistirilen uc adet maliyet dagitim kurali olan gri orantili kural, gri esit kayip dagitim kurali, gri kacirilan alternatif kayiplarin dagitimi ile ilgili adil ve kararli dagitimlar karsilastirilarak incelenmis firmalar icin en uygun dagitim kurallari onerilmistir.

Önem-Memnuniyet Analizi ve Taguchi Metodu İle Eğitimde İyileştirme Önceliklerinin Belirlenmesi: Bir Uygulama Örneği

In this paper, some set-valued solutions using grey payoffs, namely, the grey core, the grey dominance core, and the grey stable sets of cooperative grey games are introduced and studied. The findings of the study demonstrated the relations between the grey core, the grey dominance core, and stable sets of grey cooperative games. Moreover, we present a linear programming (LP) problem for the grey core. We also suggest a corresponding optimization-based algorithm that demonstrates the grey core element of a cooperative grey game. Finally, we introduce an application of how cooperative grey game theory can be used to model users’ behaviors in various multimedia social networks. The paper ends with a conclusion and an outlook for future investigations.