A recursive computation scheme for multivariate rational interpolants
SIAM Journal on Numerical Analysis
Journal of Approximation Theory
Queueing networks—exact computational algorithms: a unified theory based on decomposition and aggregation
Asymptotic Expansions for Large Closed Queueing Networks with Multiple Job Classes
IEEE Transactions on Computers
A weakly stable algorithm for Pade´ approximants and the inversion of Hankel matrices
SIAM Journal on Matrix Analysis and Applications
Multivariate partial Newton-Pade´ and Newton-Pade´ type approximants
Journal of Approximation Theory
Monotone structure in discrete-event systems
Monotone structure in discrete-event systems
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
Computational algorithms for closed queueing networks with exponential servers
Communications of the ACM
Computer Performance Modeling Handbook
Computer Performance Modeling Handbook
Performance Modelling of Communication Networks and Computer Architectures (International Computer S
Performance Modelling of Communication Networks and Computer Architectures (International Computer S
Rational Approximants for Some Performance Analysis Problems
IEEE Transactions on Computers
| Hi-index | 14.98 |
Closed Markovian networks of queues with multiclass customers and having a product form equilibrium state probability distribution are useful in the performance evaluation and design of computer and telecommunication systems. Therefore, the efficient computation of the normalizing function, the key element of the solution in product form, has attracted considerable effort. We consider a network that consists of one infinite-server (IS) station and one processor-sharing (PS) or FCFS single-server station. We use multivariate Newton-Padé approximants computed from data for small numbers of customers in each class, to estimate the normalizing function for a larger population in the network. The effectiveness and tremendous gain in computing time of this procedure are illustrated through various numerical experiments.