Threshold workload control in the BMAP/G/1 queue

Ho Woo Lee, Jung Woo Baek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

We analyze the distribution of the workload in the queueing system with Batch Markovian Arrival process (BMAP) controlled according to the D-policy. The server begins to serve the customers only when the total workload exceeds some predetermined threshold value D. We first explore the stochastic nature of the idle period. Then we derive the Laplace-Stieltjes transform of the workload and the mean values at an arbitrary time. Finally we provide computational experiences and discuss the effects of the BMAP arrivals. Our study shows that the naive Poisson assumption heavily underestimates the workload in a queueing system. We also discuss the effect of the workload threshold control.

Original languageEnglish
Title of host publicationThird International Conference on the Quantitative Evaluation of Systems, QEST 2006
Pages353-361
Number of pages9
DOIs
StatePublished - 2006
Event3rd International Conference on the Quantitative Evaluation of Systems, QEST 2006 - Riverside, CA, United States
Duration: 11 Sep 200614 Sep 2006

Publication series

NameThird International Conference on the Quantitative Evaluation of Systems, QEST 2006

Conference

Conference3rd International Conference on the Quantitative Evaluation of Systems, QEST 2006
Country/TerritoryUnited States
CityRiverside, CA
Period11/09/0614/09/06

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