TY - JOUR
T1 - Parallel fluid queues with constant inflows and simultaneous random reductions
AU - Kella, Offer
AU - Miyazawa, Masakiyo
PY - 2001/9
Y1 - 2001/9
N2 - We consider I fluid queues in parallel. Each fluid queue has a deterministic inflow with a constant rate. At a random instant subject to a Poisson process, random amounts of fluids are simultaneously reduced. The requested amounts for the reduction are subject to a general I-dimensional distribution. The queues with inventories that are smaller than the requests are emptied. Stochastic upper bounds are considered for the stationary distribution of the joint buffer contents. Our major interest is in finding exponential product-form bounds, which turn out to have the appropriate decay rates with respect to certain linear combinations of buffer contents.
AB - We consider I fluid queues in parallel. Each fluid queue has a deterministic inflow with a constant rate. At a random instant subject to a Poisson process, random amounts of fluids are simultaneously reduced. The requested amounts for the reduction are subject to a general I-dimensional distribution. The queues with inventories that are smaller than the requests are emptied. Stochastic upper bounds are considered for the stationary distribution of the joint buffer contents. Our major interest is in finding exponential product-form bounds, which turn out to have the appropriate decay rates with respect to certain linear combinations of buffer contents.
KW - Decay rate
KW - Exponential product form
KW - Multidimensional stationary distribution
KW - Parallel fluid queues
KW - Stochastic upper bound
UR - http://www.scopus.com/inward/record.url?scp=85037393298&partnerID=8YFLogxK
U2 - 10.1017/S0021900200018787
DO - 10.1017/S0021900200018787
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85037393298
SN - 0021-9002
VL - 38
SP - 609
EP - 620
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 3
ER -