Nonlinear approximation theory
Nonlinear approximation theory
Performance models of multiprocessor systems
Performance models of multiprocessor systems
Queueing networks—exact computational algorithms: a unified theory based on decomposition and aggregation
The evaluation of normalizing constants in closed queueing networks
Operations Research
Deducing queueing from transactional data: the queue inference engine, revisited
Operations Research - Supplement to Operations Research: stochastic processes
Multivariate Rational Approximants for Multiclass Closed Queuing Networks
IEEE Transactions on Computers
Rational Interpolation Examples in Performance Analysis
IEEE Transactions on Computers
On the Convergence of Global Rational Approximants forStochastic Discrete Event Systems
Discrete Event Dynamic Systems
Obtaining packet response times for nonblocking ATM switches
Performance Evaluation
Using Rational Approximations for Evaluating the Reliablity of Highly Reliable Systems
IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Long range dependent trafic
New Models for Immune Mechanism Diagnosis
MDA '08 Proceedings of the 3rd international conference on Advances in Mass Data Analysis of Images and Signals in Medicine, Biotechnology, Chemistry and Food Industry
A Novel algorithm on network reliability estimation
Mathematical and Computer Modelling: An International Journal
Hi-index | 14.99 |
Performance index functions with integer parameters are important in the evaluation and analysis of computer systems, communication networks and general distributed and parallel processing systems. These functions are often difficult to evaluate for large integers. On the other hand, most of these performance functions have nice properties such as monotonicity, convexity, analyticity, as well as obtainable asymptotic behavior. These properties make it possible to use rational approximants to extrapolate the performance functions. In this paper we present the rational approximants for several example systems. Our numerical results suggest that this approach could lead to a promising tool for many applications.