Bocharov, P. P.; D’Apice, C.; Phong, N. H. On a retrial single-server queueing system with finite buffer and Poisson flow. (English. Russian original) Zbl 1114.90332 Probl. Inf. Transm. 37, No. 3, 248-261 (2001); translation from Probl. Peredachi Inf. 37, No. 3, 67-81 (2001). Summary: A retrial single-server queueing system with finite buffer is considered. The primary incoming flow is Poissonian. If the buffer is overflown, a call entering the system becomes a repeat call and joins the group of repeat calls referred to as an orbit. The maximum number of calls that can simultaneously be contained in the orbit is limited. A call from the orbit makes new attempts to enter the system until a vacancy occurs. Time between repeat attempts for each call is an exponentially distributed random variable. At the initial moment of service, a type of a call is defined: with probability \(a_i\) it becomes a call of type \(i\) and its service time in this case has distribution function \(B_i(x)\), \(i = 1,\dots, K\). For this system, the stationary joint distribution of queues in the buffer and orbit is found. Numerical examples are given. Cited in 1 Document MSC: 90B22 Queues and service in operations research 60K25 Queueing theory (aspects of probability theory) 94C99 Circuits, networks PDFBibTeX XMLCite \textit{P. P. Bocharov} et al., Probl. Inf. Transm. 37, No. 3, 248--261 (2001; Zbl 1114.90332); translation from Probl. Peredachi Inf. 37, No. 3, 67--81 (2001) Full Text: DOI