@inproceedings{bb04da0023194204a3ec17d0710682c0,
title = "Threshold workload control in the BMAP/G/1 queue",
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.",
author = "Lee, {Ho Woo} and Baek, {Jung Woo}",
year = "2006",
doi = "10.1109/QEST.2006.55",
language = "English",
isbn = "0769526659",
series = "Third International Conference on the Quantitative Evaluation of Systems, QEST 2006",
pages = "353--361",
booktitle = "Third International Conference on the Quantitative Evaluation of Systems, QEST 2006",
note = "3rd International Conference on the Quantitative Evaluation of Systems, QEST 2006 ; Conference date: 11-09-2006 Through 14-09-2006",
}