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

Abstract

<span>This paper analyzes renewal input state dependent queue</span><br /><span> with $N$- 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 numerical </span><br /><span> computations in the form of graphs are presented to show the parameter effect on various performance measures.</span>