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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.