Monotonicity and supermodularity results for the Erlang loss system

Monotonicity and supermodularity results for the Erlang loss system

By: jacobsadm

June 5, 2013

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  • Author(s):
    Öner, K.B., Kiesmuller, G.P. & Houtum, G.J.J.A.N. van
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  • Appeared In: Operations Research Letters
  • Volume: 37, 2009
  • Issue: 4
  • Pages: 265 – 268

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}.