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

محورهای موضوعی : فصلنامه ریاضی

Vijaya Laxmi Pikkala ¹ (Andhra University, Visakhapatnam India)
Suchitra Vepada ² (Andhra University, Visakhapatnam India)

تاریخ دریافت : 1395/01/27 تاریخ پذیرش : 1395/01/27 تاریخ انتشار : 1393/01/01

کلید واژه: Finite buffer, Supplementary variable, State dependent, Single vacation, $N$-policy,

چکیده مقاله :

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.