Numerical solutions of Kendall and Pollaczek-Khintchin equations for exhaustive polling systems with semi-Markov delays

Abstract

Some analytical results for exhaustive polling systems with semi-Markov delays, such as Pollaczek-Khintchin virtual and steady state analog are presented. Numerical solutions for \emph{k}-busy period, probability of states and queue length distribution are obtained. Numerical examples are presented.

Keywords

• Polling systems with semi-Markov delays
• Pollaczek-Khintchin formula
• Kendall equation
• k-busy period
• probability of states
• queue length
• numerical algorithms