A batch arrival priority queue with recurrent repeated demands, admission control and hybrid failure recovery discipline

作者：Dimitriou Ioannis^*

来源：Applied Mathematics and Computation, 2013, 219(24): 11327-11340.

DOI：10.1016/j.amc.2013.05.048

• Retrial
• Priorities
• Hybrid recovery discipline
• Control of admission
• Recurrent customers
• Transit customers
• Stochastic decomposition
• Reliability

We consider an unreliable single server retrial queue with batch arrivals, accepting two types of customers, say ordinary and transit. In addition, there is a fixed number of recurrent customers in a retrial box. Ordinary and transit customers arrive in batches according to a compound Poisson process while in addition, each individual customer is subject to control admission policy upon arrival. Admitted ordinary and transit customers who find upon arrival the server unavailable, join a queue and the retrial box respectively. Upon a service completion, recurrent customers always return in retrial box while ordinary and transit leave the system. The server is subject to a hybrid failure recovery discipline. This discipline combines both the preemptive repeat and the preemptive resume disciplines according to the type of the interrupted customer. For such a system we investigate the stability conditions and the joint queue length distribution in steady state, while operating characteristics and numerical results are also presented. Reliability analysis is investigated while a stochastic decomposition result is also proved.

• 出版日期2013-8-15