Artalejo Rodríguez, Jesús ManuelChakravarthy, S. R.López Herrero, María Jesús2023-06-202023-06-202007-03-070736-299410.1080/07362990601139651https://hdl.handle.net/20.500.14352/49977J. R. Artalejo and M. J. Lopez-Herrero thank the support received from the research project MTM2005-01248.We concentrate on the analysis of the busy period and the waiting time distribution of a multi-server retrial queue in which primary arrivals occur according to a Markovian arrival process (MAP). Since the study of a model with an infinite retrial group seems intractable, we deal with a system having a finite buffer for the retrial group. The system is analyzed in steady state by deriving expressions for (a) the Laplace–Stieltjes transforms of the busy period and the waiting time; (b) the probabiliy generating functions for the number of customers served during a busy period and the number of retrials made by a customer; and (c) various moments of quantites of interest. Some illustrative numerical examples are discussed.engjournal articlehttp://www.tandfonline.com/doi/pdf/10.1080/07362990601139651http://www.tandfonline.com/open access519.8Busy periodMarkovian arrival processMulti-server queueRetrialsWaiting timeInvestigación operativa (Matemáticas)1207 Investigación Operativa