IEEE INFOCOM '92 Proceedings of the eleventh annual joint conference of the IEEE computer and communications societies on One world through communications (Vol. 1)
A fluid model for systems with random disruptions
Operations Research - Supplement to Operations Research: stochastic processes
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
AN INTERMITTENT FLUID SYSTEM WITH EXPONENTIAL ON-TIMES AND SEMI-MARKOV INPUT RATES
Probability in the Engineering and Informational Sciences
FLUID QUEUES AND MOUNTAIN PROCESSES
Probability in the Engineering and Informational Sciences
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A correlated M/G/1-type queue with randomized server repair and maintenance modes
Operations Research Letters
A mountain process with state dependent input and output and a correlated dam
Operations Research Letters
Stationary analysis of fluid level dependent bounded fluid models
Performance Evaluation
Open-loop control of stochastic fluid systems and applications
Operations Research Letters
Continuous feedback fluid queues
Operations Research Letters
Duality of dams via mountain processes
Operations Research Letters
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We consider a modulated fluid system with a finite state-space Markov chain Jt as modulating process and general state-dependent net input rates. We derive differential equations for the transient and the stationary distribution of (Wt, Jt), where Wt is the content process, and the corresponding Laplace transforms with respect to time. Moreover, we study the level hitting times of Wt. Our results lead to explicit formulas in the case of two modulating states.