Abstract: This paper computes new measures of performance in Markovian queueing model with single-server and finite system capacity. The expected value and the variance of the minimum (maximum) number of customers in the system (queue) as well as the r th moments of the minimum (maximum) waiting time in the queue are derived. The computations of the proposed measures are depending on the methods of order statistics. The regular performance measures of the M/M/1/N model are considered as special cases of our results.