A discrete time queueing system with negative customers and single working vacation

摘要：

In this paper, we analyze a discrete time queueing system with geometrical arrivals of both positive and negative customers in which the server works at a lower rate during working vacation. Using embedded Markov chain and the matrix analysis solution method, we derive the probability generating function (PGF) of the number of customers waiting in the system and stationary queue length. From the process of the proof and the results,we also obtain the probabilities that the server is idle, busy, in working vacation, and in regular busy period,respectively.Finally, We introduce the application of the proposed model.

关键词： Discrete time queue Single working vacation Negative customers

作者: Songfang Jia Yanheng Chen

作者单位: College of Mathematics and Computer Science Chongqing Three Gorges University Chongqing,404100,China

会议类型: 国际会议

会议名称: 2011 3rd IEEE International Conference on Computer Research and Development(ICCRD 2011)(2011第三届计算机研究与发展国际会议)

会议地点: 上海

会议语种:英文

页码: 15-19

在线出版日期: 2011-03-11（万方平台首次上网日期，不代表论文的发表时间）