Some invariance properties of monotone failure rate in the M/G/1 queue

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Samenvatting

We show that in the stationary M=G=1 queue, if the service time distribution is with increasing (decreasing) failure rate (IFR(DFR)), then (a) The distribution of the number of customers in the system is also IFR (DFR), (b) The conditional distribution of the re- maining service time given the number of customers in the system is also IFR (DFR) and (c) The conditional distribution of the remaining service time given the number of customers in the system, is stochastically decreasing (increasing) with the number of customers in the system.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's7
StatusGepubliceerd - 2009

Publicatie series

NaamReport Eurandom
Volume2009018
ISSN van geprinte versie1389-2355

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