Probabilty Seminars——Markovian Bulk-Arrival and Bulk-Service Queues with General State-Dependent Control
主 题: Probabilty Seminars——Markovian Bulk-Arrival and Bulk-Service Queues with General State-Dependent Control
报告人: Prof. Anyue Chen (Southern University of Science and Technology)
时 间: 2018-05-07 14:00-15:00
地 点: Room 1418, Sciences Building No. 1
Abstract: In this talk, I’ll address a modified Markovian bulk-arrival and bulk-service queue incorporating the state-dependent control. The stopped bulk-arrival and bulk-service queue is first investigated and the relationship with our queueing model is examined and exploited. Equilibrium behaviour is studied and the probability generating function of the equilibrium distribution is obtained. Queue length behaviour is also examined and the Laplace transform of the queue length distribution is presented. The important questions regarding hitting time and busy period distributions are answered in detail and the Laplace transforms of these distributions are presented. Further properties including expectations of hitting times and busy period are also explored.