Effective bandwidths at multi-class queues
Queueing Systems: Theory and Applications
Monte Carlo summation and integration applied to multiclass queuing networks
Journal of the ACM (JACM)
Erlang capacity and uniform approximations for shared unbuffered resources
IEEE/ACM Transactions on Networking (TON)
An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates
IEEE/ACM Transactions on Networking (TON)
Effective bandwidths with priorities
IEEE/ACM Transactions on Networking (TON)
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
Nearly optimal importance sampling for Monte Carlo simulation of loss systems
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Estimation of blocking probabilities in cellular networks with dynamic channel assignment
ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue: Rare event simulation
Multiservice Loss Models for Broadband Telecommunication Networks
Multiservice Loss Models for Broadband Telecommunication Networks
Filtered Gibbs sampler for estimating blocking probabilities in WDM optical networks
Proceedings of the 14th European Simulation Multiconference on Simulation and Modelling: Enablers for a Better Quality of Life
Decentralized Adaptive Flow Control of High-Speed Connectionless Data Networks
Operations Research
IEEE Journal on Selected Areas in Communications
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A setwise Gibbs sampler (SGS) method is developed to simulate stationary distributions and performance measures of network occupancy of Baskett-Chandy-Muntz-Palacios (BCMP) telecommunication models. It overcomes the simulation difficulty encountered in applying the standard Gibbs sampler to closed BCMP networks with constant occupancy constraints. We show Markov chains induced by SGS converge to the target stationary distributions. This article also investigates the filtered Gibbs sampler (FGS) as an efficient method for estimating various network performance measures. It shows that FGS's efficiency is considerable, but may be improperly overestimated. A more conservative performance estimator is then presented.