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On the convexity of loss probabilities
Part of
- Special processes
Ronald W. Wolff, Chia-Li Wang
Journal:

Journal of Applied Probability / Volume 39 / Issue 2 / June 2002

Published online by Cambridge University Press:

14 July 2016, pp. 402-406

Print publication:

June 2002
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For the M/G/c loss system, it is well known that Erlang's loss probability is convex in the number of servers. We extend this result firstly to renewal arrivals and exponential service, then to regenerative arrivals and exponential service, and finally to an arbitrary arrival process with i.i.d. service times that are independent of the arrival process.

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On the convexity of loss probabilities