A Note on the M/G/1/K Queue with Two-Threshold Hysteresis Strategy of Service Intensity Switching
A Note on the M/G/1/K Queue with Two-Threshold Hysteresis Strategy of Service Intensity Switching
최두일(한라대학교); 김보근(삼성SDS); 이두호(한국전자통신연구원 BigData 소프트웨어연구소)
39권 3호, 1~5쪽
초록
We study the paper Zhernovyi and Zhernovyi [Zhernovyi, K.Y. and Y.V. Zhernovyi, “An M θ/G/1/m system withtwo-threshold hysteresis strategy of service intensity switching,” Journal of Communications and Electronics, Vol.12,No.2(2012), pp.127-140]. In the paper, authors used the Korolyuk potential method to obtain the stationary queuelength distribution. Instead, our note makes an attempt to apply the most frequently used methods : the embeddedMarkov chain and the supplementary variable method. We derive the queue length distribution at a customer's departureepoch and then at an arbitrary epoch.
Abstract
We study the paper Zhernovyi and Zhernovyi [Zhernovyi, K.Y. and Y.V. Zhernovyi, “An M θ/G/1/m system withtwo-threshold hysteresis strategy of service intensity switching,” Journal of Communications and Electronics, Vol.12,No.2(2012), pp.127-140]. In the paper, authors used the Korolyuk potential method to obtain the stationary queuelength distribution. Instead, our note makes an attempt to apply the most frequently used methods : the embeddedMarkov chain and the supplementary variable method. We derive the queue length distribution at a customer's departureepoch and then at an arbitrary epoch.
- 발행기관:
- 한국경영과학회
- 분류:
- 경영학