RT Journal Article T1 A note on the busy period of the M/G/1 queue with finite retrial group A1 Artalejo Rodríguez, Jesús Manuel A1 Gómez-Corral, Antonio AB We 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. PB Cambridge University Press SN 0269-9648 YR 2007 FD 2007-01 LK https://hdl.handle.net/20.500.14352/49978 UL https://hdl.handle.net/20.500.14352/49978 LA eng NO This work was supported by MEC grant no. MTM2005-01248 NO MEC DS Docta Complutense RD 7 jun 2025