Mathematica Eterna
Open Access

Abstract

A Stochastic Model Of Interconnected Two Queues With A Balancing Policy

R.Reynald Susainathan, M. Reni Sagayaraj, A.George Maria Selvam and S. Anand Gnana Selvam

A Stochastic model of two queues (queue I and queue II) with an interconnection between them is considered. Customers arrive at a constant rate λ and join the shortest of the two queues if their sizes (including the customer undergoing service) are different and join the Queue I if otherwise. A waiting customer in a queue Qi switches over to the other queue Qj i 6= j if the size of Qj = size of Qi −2. The service times under the two servers are exponentially distributed with means 1 µ1 and 1 µ2 respectively. The steady-state behavior of the model is analyzed.