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Monotonicity and supermodularity results for the Erlang loss system

Abstract

For the Erlang loss system with s servers and offered load a, we show that: (i) the load carried by the last server is strictly increasing in a; (ii) the carried load of the whole system is strictly supermodular on {(s,a)|s=0,1,… and a>0}

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Last time updated on 11/08/2023

This paper was published in Pure OAI Repository.

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