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

  • Antony Svoronos (a1) and Linda Green (a1)


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.


Corresponding author

Postal address: Graduate School of Business, Uris Hall, Columbia University, New York, NY 10027, USA.


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Rolski, T. (1983) Comparison theorems for queues with dependent interarrival times. Proceedings of the International Seminar , Paris, France.
Ross, S. M. (1978) Average delay in queues with non-stationary Poisson arrivals. J. Appl. Prob. 15, 602609.



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