Testing traffic density of a heterogeneous stochastic queueing system using SPRT

Abstract

We aim to determine the traffic density of the system as a control method in queuing systems and to keep it at the desired level. This article expands the sequential probability ratio test (SPRT) method in the heterogeneous server queuing system, which gives more accurate results in modeling a real-life case. Controlling the traffic density of the heterogeneous server queuing system can be used to determine optimal policies for the system.

Keywords:

• Embedded Markov chain
• Gini index
• heterogeneous server
• SPRT
• traffic intensity

SUBJECT CLASSIFICATION:

• 60K25
• 60K30
• 90B22

ACKNOWLEDGMENTS

The authors are extremely grateful to Editor-in-Chief Professor Nitis Mukhopadhyay, the Associate Editor, and anonymous referee(s) for their valuable comments, suggestions, and constructive criticism that improved the quality of the article.

DISCLOSURE

The authors have no conflicts of interest to report.