The Geo/Ga,Y/1/N Queue Revisited

We not only present an alternative and simpler approach to find steady-state distributions of the number jobs for finite-space queueing model Geo/Ga,Y/1/N using roots inherent characteristic equation, but also correct errors in some published papers. The server has a random service capacity Y, it processes when system is at least ‘a’, threshold value. main advantage this process that gives unified dealing with both finite- infinite-buffer systems. queue-length distribution obtained departure epochs. derive relation between discrete-time queue its continuous-time analogue. Finally, we deal performance measures numerical results.