Linda Green

A convexity result for single-server exponential loss systems with non-stationary arrivals

Coauthor(s): Antony Svoronos.

Abstract:
We consider single-server loss systems with exponential service times and non-stationary Poisson input. We prove that if the arrival rate is given by a periodic function, the proportion of lost customers is convex increasing in the amplitude.

Source: Journal of Applied Probability
Exact Citation:
Svoronos, Antony, and Linda Green. "A convexity result for single-server exponential loss systems with non-stationary arrivals." Journal of Applied Probability 25, no. 1 (March 1988): 224-227.
Volume: 25
Number: 1
Pages: 224-227
Date: 3 1988