|
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
|
|
Abstract:
|
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.
