@article {IOPORT.05841937, author = {Zisgen, Horst}, title = {A diffusion approximation for batch queues of type $G^X/G(b,b)/1$.}, year = {2009}, journal = {Performance Evaluation}, volume = {66}, number = {9-10}, issn = {0166-5316}, pages = {557-563}, publisher = {Elsevier Science Publishers B. V. (North-Holland), Amsterdam}, doi = {10.1016/j.peva.2009.03.005}, abstract = {Summary: Queues with bulk arrivals and batch service arise in a variety of application areas, in particular in the performance analysis of manufacturing lines, like semiconductor fabrications. In the course of this paper, a diffusion approximation for queueing systems with bulk arrivals and batch service for general and independent interarrival time distributions, as well as general service time distributions, is presented. The approximation uses a modified absorbing barrier and instantaneous return approach. The accuracy of the gained approximation is shown by a subsequent comparison with the corresponding discrete event simulation results.}, identifier = {05841937}, }