Artalejo Rodríguez, Jesús ManuelGómez-Corral, Antonio2023-06-202023-06-202007-010269-964810.1017/S0269964807070052https://hdl.handle.net/20.500.14352/49978This work was supported by MEC grant no. MTM2005-01248We consider an M/G/1 retrial queue with finite capacity of the retrial group. We derive the Laplace transform of the busy period using the catastrophe method. This is the key point for the numerical inversion of the density function and the computation of moments. Our results can be used to approach the corresponding descriptors of the M/G/1 queue with infinite retrial group, for which direct analysis seems intractable.engA note on the busy period of the M/G/1 queue with finite retrial groupjournal articlehttp://journals.cambridge.org/action/displayFulltext?type=1&fid=600996&jid=PES&volumeId=21&issueId=01&aid=600992http://www.cambridge.org/restricted access519.8Investigación operativa (Matemáticas)1207 Investigación Operativa