The paper looks at an extension of the steady state delay probability in M/M/s/s+c systems to nonintegral number of servers s and queue capacity c, which is called GED function. It shows that this function is increasing and concave in the queue capacity. The paper finds that if , the reciprocal of the GED function is convex in the traffic intensity and the GED function is increasing in the traffic intensity if is below some , and decreasing if greater than . Moreover, is increasing in the number of servers and, for .
