On the “pasta” property and a further relationship between customer and time averages in stationary queueing systems
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics. Stochastic Models
- Vol. 5 (2), 261-272
- https://doi.org/10.1080/15326348908807109
Abstract
We consider queueing systems in statistical equilibrium and discuss a property which is known as PASTA (Poisson Arrivals See Time Averages). We give examples showing that for this property as well as for a related property called Conditional PASTA to be valid the independence assumption usually made in this connection is not necessary. Furthermore, we extend to queueing systems with preemptive service discipline a formula of Brumelle's relating the time-average workload to the delay in queue and the service time of a customer.Keywords
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