Monotonicity and supermodularity results for the Erlang loss system

Monotonicity and supermodularity results for the Erlang loss system

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Article ID: iaor20102976
Volume: 37
Issue: 4
Start Page Number: 265
End Page Number: 268
Publication Date: Jul 2009
Journal: Operations Research Letters
Authors: , ,
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=-,1,… and a>0}.

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