Steady state analysis of an M^x/G/1 queue with two phase service and Bernoulli vacation schedule under multiple vacation policy

详细信息	查看全文 | 推荐本文 |

• 作者：Gautam Choudhury ; Lotfi Tadj ; Madhuch ; a Paul
• 关键词：M^x/G/1 queue ; Stationary distribution ; Bernoulli vacation schedule ; Two phase service ; Stochastic decomposition ; Multiple vacation policy
• 刊名：Applied Mathematical Modelling
• 出版年：2007
• 期刊代码：6_0307904x
• 类别：cp
• 出版时间：June 2007
• 卷：31
• 期：6
• 页码：1079-1091
• 文件大小：219 K

摘要

This paper examines the steady state behaviour of a batch arrival queue with two phases of heterogeneous service along and Bernoulli schedule vacation under multiple vacation policy, where after two successive phases service or first vacation the server may go for further vacations until it finds a new batch of customer in the system. We carry out an extensive stationary analysis of the system, including existence of stationary regime, queue size distribution of idle period process, embedded Markov chain steady state distribution of stationary queue size, busy period distribution along with some system characteristics.