Response times in a two-node queueing network with feedback

The study presented in this paper is motivated by the performance analysis of response times in distributed information systems, where transactions are handled by iterative server and database actions. We model system response times as sojourn times in a two-node open queueing network with a Processor Sharing (PS) node and a First-Come-First-Served (FCFS) node. External customers arrive at the PS node according to a Poisson process. After departing from the PS node a customer proceeds to the FCFS node with probability p, and with probability 1 ; p the customer departs from the system. After a visit to the FCFS node customers are fed back to the PS node. The service requirements at both nodes are exponentially distributed. The model is a Jackson network, admitting a product-from solution for the joint number of customers at the nodes, immediately leading to a closed-form expression for the mean sojourn times in steady state. The variance of the sojourn times, however, does not admit an...

• Type: Journal
• Year: 2002
• Where: PE
• Authors: Robert D. van der Mei, Bart Gijsen, N. in't Veld, J. L. van den Berg
• Keywords: Customers, Node, Optimization, PE 2002, Sojourn Times