Phung-Duc, Tuan; Kawanishi, Ken’ichi Multiserver retrial queues with after-call work. (English) Zbl 1255.60164 Numer. Algebra Control Optim. 1, No. 4, 639-656 (2011). The authors study a \(c\)-server retrial system with finite capacity \(K\); a blocked customer joins an infinite virtual capacity orbit and then retries to occupy the server again. Unlike classical retrial queues, an extra after-call work is done by server after a customer leaves the system. The case \(K<c\) is also discussed. A quasi-birth-death Markov process is constructed to obtain a stability condition for the system. Unfortunately, the authors do not mention that it is a very particular case of the well-known stability result for general multiserver retrial system. A truncation by means of a finite capacity system (with a limited orbit) is used to derive an approximation of stationary distribution. Some numerical results are also given. Reviewer: Evsei Morozov (Petrozavodsk) Cited in 5 Documents MSC: 60K25 Queueing theory (aspects of probability theory) 68M20 Performance evaluation, queueing, and scheduling in the context of computer systems 90B22 Queues and service in operations research Keywords:multiserver retrial queues; after-call work; call centers; level-dependent QBD processes; truncation method; stability conditions; stationary distribution PDFBibTeX XMLCite \textit{T. Phung-Duc} and \textit{K. Kawanishi}, Numer. Algebra Control Optim. 1, No. 4, 639--656 (2011; Zbl 1255.60164) Full Text: DOI