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Activity Number: 176 - Modeling
Type: Contributed
Date/Time: Monday, July 30, 2018 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract #328875
Title: The Posterior Service Time in an M/G/1 Queue with a Workload Barrier and Extreme Prior Service Times
Author(s): Percy Brill* and Mei Ling Huang
Companies: University of Windsor and Brock University
Keywords: M/G/1 queue; bounded workload; posterior service time distribution; extreme prior service time distribution; integral equations; level crossing method

This article considers an M/G/1 queue with workload barrier at level K > 0. Prior service times are continuous random variables. The policy for arrivals re the barrier is: service times that would cause the workload to exceed K are truncated at K. We give the posterior pdf and expected value of the posterior service time due to the barrier, the expected number served in a busy period, and related quantities. We use a metric for the distance between the prior and posterior pdfs of service time. We specialize results to the case where prior service times have a no-mean Pareto(II) distribution.

Authors who are presenting talks have a * after their name.

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