@article{(Open Science Index):https://publications.waset.org/pdf/14569, title = {On a Discrete-Time GIX/Geo/1/N Queue with Single Working Vacation and Partial Batch Rejection}, author = {Shan Gao}, country = {}, institution = {}, abstract = {This paper treats a discrete-time finite buffer batch arrival queue with a single working vacation and partial batch rejection in which the inter-arrival and service times are, respectively, arbitrary and geometrically distributed. The queue is analyzed by using the supplementary variable and the imbedded Markov-chain techniques. We obtain steady-state system length distributions at prearrival, arbitrary and outside observer-s observation epochs. We also present probability generation function (p.g.f.) of actual waiting-time distribution in the system and some performance measures. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {12}, year = {2011}, pages = {2080 - 2088}, ee = {https://publications.waset.org/pdf/14569}, url = {https://publications.waset.org/vol/60}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 60, 2011}, }