ANALYSIS OF RENEWAL INPUT STATE DEPENDENT VACATION QUEUE WITH $N$-POLICY
Subject Areas : International Journal of Mathematical Modelling & Computations
Vijaya
Laxmi Pikkala
1
(Andhra University, Visakhapatnam
India)
Suchitra
Vepada
2
(Andhra University, Visakhapatnam
India)
Keywords: Finite buffer, Supplementary variable, State dependent, Single vacation, $N$-policy,
Abstract :
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.