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

Antony Svoronos, Linda Green

© Journal of Applied Probability, March 1988
Volume: 25 | Issue: 1 | Pages: 224-227

Publication type: Journal article

Research Archive Topic: Operations

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.

 

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