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

Laxmi Pikkala, Vijaya; Vepada, Suchitra

Manuscript ID : 521869 Visit : 397 Page: 299 - 307

Article Type: Original Research

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

Subject Areas : International Journal of Mathematical Modelling & Computations

Vijaya Laxmi Pikkala ¹ , Suchitra Vepada ²

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

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2014-03-21

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.

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