ANALYSIS OF RENEWAL INPUT STATE DEPENDENT VACATION QUEUE WITH $N$-POLICY

الموضوعات : فصلنامه ریاضی

Vijaya Laxmi Pikkala ¹ , Suchitra Vepada ²

1 - Andhra University, Visakhapatnam India
2 - Andhra University, Visakhapatnam India

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 20 الجمعة , جمادى الأولى, 1435

الکلمات المفتاحية: Finite buffer, Supplementary variable, State dependent, Single vacation, $N$-policy,

ملخص المقالة :

This paper analyzes renewal input state dependent queuewith $N$- policy wherein the server takes exactly one vacation.Using the supplementary variable technique and recursive method,we derive the steady state system length distributions at various epochs.Various performance measures has been presented. Finally, some numericalcomputations in the form of graphs are presented to show the parametereffect on various performance measures.