Paper Info
Title
Response times in a two-node queueing network with feedback
Abstract
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 exact expression-the complexity is caused by the possibility of overtaking. In this paper we propose a methodology for deriving simple, explicit and fast-to-evaluate approximations for the variance of the sojourn times. Numerical results demonstrate that the approximations are very accurate in most model instances.
Year
DOI
Venue
2002
10.1016/S0166-5316(02)00121-9
Performance Evaluation
Keywords
Field
DocType
two-node queueing network,mean sojourn time,customer departs,external customer,fcfs node,jackson network,model system response time,sojourn time,response time,ps node,feedback,approximation,model instance,queueing networks,customer proceed,exponential distribution,steady state,poisson process
Information system,Computer science,Model system,Computer network,Response time,Overtaking,Processor sharing,Real-time computing,Queueing theory,Exponential distribution,Distributed computing,Jackson network
Journal
Volume
Issue
ISSN
49
1-4
Performance Evaluation
Citations 
PageRank 
References 
7
1.03
0
Authors
4
Name
Order
Citations
PageRank
R. D. Van der Mei1142.37
B. M. M. Gijsen2182.61
N. in't Veld371.03
J. L. van den Berg4335.28