Presentation Title

Analysis of the Workload Process in an SRPT Queues

Faculty Mentor

Amber Puha

Start Date

23-11-2019 10:00 AM

End Date

23-11-2019 10:45 AM

Location

243

Session

poster 3

Type of Presentation

Poster

Subject Area

physical_mathematical_sciences

Abstract

We are interested in analyzing the performance of Shortest Remaining Processing Time (SRPT) queues under a heavy traffic condition. The queue length (number of jobs) and workload (amount of work in the system) processes are two critical measures of congestion. We focused on analyzing the queues length process since the behavior of the workload process is well studied by other researchers. Puha and collaborators Banerjee and Budihiraja observed that the queue length is related to certain truncated workload processes through an integral equation. Using the idea of semimartingale reflected Brownian Motion, we demonstrate upper and lower bounds for the truncated workload processes in terms of reflected, centered, and scaled truncated load. Puha and collaborators believe that these load processes can be analyzed, which would provide an analysis of the truncated workload processes.

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Nov 23rd, 10:00 AM Nov 23rd, 10:45 AM

Analysis of the Workload Process in an SRPT Queues

243

We are interested in analyzing the performance of Shortest Remaining Processing Time (SRPT) queues under a heavy traffic condition. The queue length (number of jobs) and workload (amount of work in the system) processes are two critical measures of congestion. We focused on analyzing the queues length process since the behavior of the workload process is well studied by other researchers. Puha and collaborators Banerjee and Budihiraja observed that the queue length is related to certain truncated workload processes through an integral equation. Using the idea of semimartingale reflected Brownian Motion, we demonstrate upper and lower bounds for the truncated workload processes in terms of reflected, centered, and scaled truncated load. Puha and collaborators believe that these load processes can be analyzed, which would provide an analysis of the truncated workload processes.