Analysis of the M ([X])/G/1 queues with second multi-optional service and unreliable server

作者：Wang Jin ting; Li Jiang hua

来源：Acta Mathematicae Applicatae Sinica-English Series, 2010, 26(3): 353-368.

DOI：10.1007/s10255-010-0001-6

• Bulk-arrival queue
• first essential service
• second optional service
• reliability

A bulk-arrival single server queueing system with second multi-optional service and unreliable server is studied in this paper. Customers arrive in batches according to a homogeneous Poisson process, all customers demand the first "essential" service, whereas only some of them demand the second "multi-optional" service. The first service time and the second service all have general distribution and they are independent. We assume that the server has a service-phase dependent, exponentially distributed life time as well as a servicephase dependent, generally distributed repair time. Using a supplementary variable method, we obtain the transient and the steady-state solutions for both queueing and reliability measures of interest.

• 出版日期2010-7
• 单位北京交通大学