On ‎T‎he Fractional Minimal Cost Flow Problem of a Belief Degree Based Uncertain Network‎

الموضوعات : مجله بین المللی ریاضیات صنعتی

S. Niroomand ¹ (Department of Industrial Engineering, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran)

تاريخ الإرسال : 20 الأحد , شعبان, 1439 تاريخ التأكيد : 02 الأحد , ربيع الثاني, 1440 تاريخ الإصدار : 25 الإثنين , رجب, 1440

الکلمات المفتاحية: Belief degree, uncertainty theory, Fractional minimal cost flow problem, Chance-constrained programming,

ملخص المقالة :

A fractional minimal cost flow problem under linear type belief degree based uncertainty is studied for the first time. This type of uncertainty is useful when no historical information of an uncertain event is available. The problem is crisped using an uncertain chance-constrained programming approach and its non-linear objective function is linearized by a variable changing approach. An illustrative example is solved to prove the efficiency of the proposed formulation.