Applications of SMP Bounds to Multi-class Traffic in High-speed Networks
Queueing Systems: Theory and Applications
Admission control of multi-class traffic with service priorities in high-speed networks
Queueing Systems: Theory and Applications
BOUNDS FOR FLUID MODELS DRIVEN BY SEMI-MARKOV INPUTS
Probability in the Engineering and Informational Sciences
Stochastic fluid flow models for determining optimal switching thresholds
Performance Evaluation
Proof of Monotone Loss Rate of Fluid Priority-Queue with Finite Buffer
Queueing Systems: Theory and Applications
Busy period analysis for M/PH/1 queues with workload dependent balking
Queueing Systems: Theory and Applications
Two-buffer fluid models with multiple ON-OFF inputs and threshold assistance
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Production-inventory systems in stochastic environment and stochastic lead times
Queueing Systems: Theory and Applications
Mean first passage times in fluid queues
Operations Research Letters
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In this paper we analyze the first passage time in a fluid flow model where the input and output rates are controlled by a finite state Continuous Time Markov Chain (CTMC). We derive explicit expressions for the Laplace Transform of the joint distribution of the first time the buffer becomes empty and the state of the CTMC at that time. We discuss both infinite and finite buffer cases. We illustrate the results with the case of a fluid model with an on-off source. We apply these results to a fluid model where the input consists of two types of fluid and a single server removes the fluid. The server gives complete priority to the fluid of type 1 over that of type 2. In this case the down time of the server for priority 2 fluid is the same as the busy period of the fluid of priority 1. We derive the steady state marginal distributions of the buffer-content process for fluids of type 1 and 2. We present numerical results and their interpretations.