Monotonicity and supermodularity results for the Erlang loss system

K. B. Öner, G. P. Kiesmüller, G. J. van Houtum

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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}.

Original languageEnglish
Pages (from-to)265-268
Number of pages4
JournalOperations Research Letters
Volume37
Issue number4
DOIs
StatePublished - Jul 2009
Externally publishedYes

Keywords

  • Erlang loss system
  • Monotonicity result
  • Sample path proof

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