A Unified Framework for Simulating Markovian Models of Highly Dependable Systems
IEEE Transactions on Computers
Effective bandwidth and fast simulation of ATM intree networks
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
Fast simulation of rare events in queueing and reliability models
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Simulation run lengths to estimate blocking probabilities
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Variance Reduction in Simulations of Loss Models
Operations Research
Difficult queuing simulation problems: rare-event simulation for infinite server queues
Proceedings of the 34th conference on Winter simulation: exploring new frontiers
Exact asymptotic for infinite-server queues
Proceedings of the 6th International Conference on Queueing Theory and Network Applications
Rare-event simulation for multi-server queues in the Halfin-Whitt regime
ACM SIGMETRICS Performance Evaluation Review
Importance sampling for actuarial cost analysis under a heavy traffic model
Proceedings of the Winter Simulation Conference
Mathematics of Operations Research
Hi-index | 0.00 |
This paper develops a rare-event simulation algorithm for a discrete-time version of the M/G/s loss system and a related Markov-modulated variant of the same loss model. The algorithm is shown to be efficient in the many-server asymptotic regime in which the number of servers and the arrival rate increase to infinity in fixed proportion. A key idea is to study the system as a measure-valued Markov chain and to steer the system to the rare event through a randomization of the time horizon over which the rare event is induced.