Abstract
The paper considers an M/G/1-type, two-stage queueing system, in which the two stages in series are attended by a single server alternatively and exhaustively. A double transform for the stationary joint distribution of the queue length in each stage and the remaining service time is obtained. Using the double transform, Laplace-Stieltjes transforms of the total sojourn time distribution in the system and the sojourn time distributions in each stage are also provided. As a result, it is shown that the queueing system is a rare example among M/G1-type, infinite-capacity queueing systems which have no distributional form of Little's law as studied by Keilson and Servi 1988. Some comments are given on a previous total-sojourn-time analysis having an error due to correlation of the arrival process and the total sojourn time
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