# The M/G/1-type markov chain with restricted transitions and its application to queues with batch arrivals

Juan F. Perez, Benny Van Houdt

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

3 Citas (Scopus)

## Resumen

We consider M/G/ 1-type Markov chains where a transition that decreases the value of the level triggers the phase to a small subset of the phase space. We show how this structure—referred to as restricted downward transitions—can be exploited to speed up the computation of the stationary probability vector of the chain. To this end we define a new M/G/ 1-type Markov chain with a smaller block size, the G matrix of which is used to find the original chain’s G matrix. This approach is then used to analyze the BMAP/PH/1 queue and the BMAP[2]/PH[2]/l preemptive priority queue, yielding significant reductions in computation time.

Idioma original Inglés estadounidense 487-517 31 Probability in the Engineering and Informational Sciences 25 4 https://doi.org/10.1017/S0269964811000155 Publicada - ene. 1 2011 Sí