Title :
Threshold Workload Control in the BMAP/G/1 Queue
Author :
Ho Woo Lee ; Jung Woo Baek
Author_Institution :
Dept. of Syst. Manage. Eng., Sungkyunkwan Univ., Suwon
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
Keywords :
Laplace transforms; Markov processes; queueing theory; BMAP/G/I queue; D-policy; Laplace-Stieltjes transform; Poisson assumption; batch Markovian arrival process; queueing system; threshold workload control; Communication system control; Control systems; Costs; Engineering management; Process control; Production systems; Queueing analysis; Resumes; Stochastic processes; Systems engineering and theory;
Conference_Titel :
Quantitative Evaluation of Systems, 2006. QEST 2006. Third International Conference on
Conference_Location :
Riverside, CA
Print_ISBN :
0-7695-2665-9
DOI :
10.1109/QEST.2006.55
