A fluid model for systems with random disruptions
Operations Research - Supplement to Operations Research: stochastic processes
IEEE/ACM Transactions on Networking (TON)
Transient analysis of fluid model for ATM statistical multiplexer
Performance Evaluation - Special issue: performance models for information communication networks
Second-order stochastic fluid models with fluid-dependent flow rates
Performance Evaluation
Efficient steady-state analysis of second-order fluid stochastic Petri nets
Performance Evaluation
Fluid models in performance analysis
SFM'07 Proceedings of the 7th international conference on Formal methods for performance evaluation
Computers & Mathematics with Applications
A reflected diffusion process in a regime-switching environment
Operations Research Letters
Second-order Markov reward models driven by QBD processes
Performance Evaluation
| Hi-index | 0.00 |
A second-order fluid flow model of a queue with finite capacity buffer and variable net input process is presented, based on the previous work of Karandikar and Kulkarni (1995). Queue length is modelled as a Brownian motion whose parameters are controlled by a finite state Markov chain. The process, termed a Markov modulated regulated Brownian motion (MMRBM), provides analytical solutions for steady state queue length distributions, overflow losses and idleness probabilities using boundary regulators. Applications of the model include queues with failure-prone servers and ATM statistical multiplexers with variable traffic loads.