Calculation of the Laplace Transform of the Length of the Busy Period for the M|G|1 Queue Via Martingales
Rosenkrantz, Walter A.
Ann. Probab., Tome 11 (1983) no. 4, p. 817-818 / Harvested from Project Euclid
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In this paper we derive a new explicit formula for the Laplace transform of the length of the busy period for the $M|G|1$ queue by a direct martingale method of independent interest. The method is probabilistic, of general character and avoids tedious calculations with complex variables.
Publié le : 1983-08-14
Classification:  M/G/1 queue,  busy period,  Laplace transform,  martingales,  60K25,  60G44 
@article{1176993531,
     author = {Rosenkrantz, Walter A.},
     title = {Calculation of the Laplace Transform of the Length of the Busy Period for the M|G|1 Queue Via Martingales},
     journal = {Ann. Probab.},
     volume = {11},
     number = {4},
     year = {1983},
     pages = { 817-818},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176993531}
}

Rosenkrantz, Walter A. Calculation of the Laplace Transform of the Length of the Busy Period for the M|G|1 Queue Via Martingales. Ann. Probab., Tome 11 (1983) no. 4, pp.  817-818. http://gdmltest.u-ga.fr/item/1176993531/