Monotonicity and supermodularity results for the Erlang loss system |
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| Authors: | KB
ner GP Kiesmüller GJ van Houtum |
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| Institution: | aSchool of Industrial Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands |
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| 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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| Keywords: | Erlang loss system Monotonicity result Sample path proof |
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