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- Title
Multiclass Markovian fluid queues.
- Authors
Hiroyuki Masuyama; Tetsuya Takine
- Abstract
  This paper considers a multiclass Markovian fluid queue with a buffer of infinite capacity. Input rates of fluid flows in respective classes and the drain rate from the buffer are modulated by a continuous-time Markov chain with finite states. We derive the joint Laplace-Stieltjes transform for the stationary buffer contents in respective classes, assuming the FIFO service discipline. Further we develop a numerically feasible procedure to compute the joint and marginal moments of the stationary buffer contents in respective classes. Some numerical examples are then provided.
- Subjects
MARKOV processes; STIELTJES transform; INTEGRAL transforms; FIRST in, first out (Accounting); INVENTORY accounting; BUFFER inventories; STOCHASTIC processes; MATHEMATICAL transformations; INTEGRAL equations; STIELTJES integrals; NUMERICAL analysis; PROBABILITY theory
- Publication
Queueing Systems, 2007, Vol 56, Issue 3/4, p143
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-007-9019-8