Analysis of a retrial queue with group service of impatient customers

A single-server retrial queue with a MAP flow, PH service times and a pool of finite capacity for accumulation of the customers and their group service is considered. Service to the next group is not provided until the number of customers in the pool will reach a certain predefined threshold value. The service time of a group depends on its size and it is less than the sum of the individual service times. The dependencies of the basic performance measures of the system on the capacity of the pool and the threshold are obtained. Numerical results are presented. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.

D’Arienzo M.P.1 , Dudin A.N. 2, 3 , Dudin S.A. 2, 3 , Manzo R.1
Springer Verlag
  • 1 Department of Information Engineering, Electrical Engineering and Applied Mathematics, University of Salerno, Via Giovanni Paolo II, 132, Fisciano, 84084, Italy
  • 2 Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., Minsk, 220030, Belarus
  • 3 Department of Applied Probability and Informatics, RUDN University, 6, Miklukho-Maklaya st., Moscow, 117198, Russian Federation
Ключевые слова
Group service; Impatient customers; Markovian arrival process; Phase-type distribution of the service time; Retrial
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