Stochastic modelling and analysis: a computational approach
Stochastic modelling and analysis: a computational approach
A storage model with a two-state random environment
Operations Research - Supplement to Operations Research: stochastic processes
Fluid models for single buffer systems
Frontiers in queueing
A finite buffer queue with priorities
Performance Evaluation
The M/G/1 Queue with Finite Workload Capacity
Queueing Systems: Theory and Applications
Models of Network Access Using Feedback Fluid Queues
Queueing Systems: Theory and Applications
Queues with Workload-Dependent Arrival and Service Rates
Queueing Systems: Theory and Applications
Fluid queues to solve jump processes
Performance Evaluation - Performance 2005
Stationary analysis of fluid level dependent bounded fluid models
Performance Evaluation
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
Continuous feedback fluid queues
Operations Research Letters
QEST '12 Proceedings of the 2012 Ninth International Conference on Quantitative Evaluation of Systems
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We propose a numerical algorithm for finding the steady-state queue occupancy distribution for a workload-dependent MAP/PH/1 queue in which the arrival process and the service rate depend continuously on the instantaneous workload in the system. Both infinite and finite queue capacity scenarios are considered, including partial rejection and complete rejection policies for the latter. Using discretization, this system is approximately described by a multi-regime Markov fluid queue for which numerical algorithms are available. The computational complexity of the proposed method is linear in the number of regimes used for discretization. We provide numerical examples to validate the proposed approach.