TY - BOOK
T1 - A Lévy input model with additional state-dependent services
AU - Palmowski, Z.B.
AU - Vlasiou, Maria
PY - 2009
Y1 - 2009
N2 - We consider a queuing model with the workload evolving between consecutive i.i.d. exponential timers {e(i) q } i =1,2,… according to a spectrally positive Lévy process Y (t) which is reflected at 0. When the exponential clock e q(i) ends, the additional state-dependent service requirement modifies the workload so that the latter is equal to
F i (y (e (i) q)) at epoch e(i) q + : : : + e(i) q for some random nonnegative i.i.d. functionals F i. In particular, we focus on the case when F i(y) = (B i - y) +, where {B i } i =1,2,… are i.i.d. nonnegative random variables. We analyse the steady-state workload distribution for this model
AB - We consider a queuing model with the workload evolving between consecutive i.i.d. exponential timers {e(i) q } i =1,2,… according to a spectrally positive Lévy process Y (t) which is reflected at 0. When the exponential clock e q(i) ends, the additional state-dependent service requirement modifies the workload so that the latter is equal to
F i (y (e (i) q)) at epoch e(i) q + : : : + e(i) q for some random nonnegative i.i.d. functionals F i. In particular, we focus on the case when F i(y) = (B i - y) +, where {B i } i =1,2,… are i.i.d. nonnegative random variables. We analyse the steady-state workload distribution for this model
UR - https://research.tue.nl/en/publications/a-levy-input-model-with-additional-statedependent-services(e7a040b4-3a28-484c-b2b9-42b8c867a538).html
M3 - Report
T3 - Eurandom preprint series
BT - A Lévy input model with additional state-dependent services
ER -