Monotonicity and supermodularity results for the Erlang loss system

K.B. Öner, G.P. Kiesmuller, G.J.J.A.N. Houtum, van

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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 f(s; a)js = 0; 1; : : : and a > 0g.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages9
ISBN (Print)978-90-386-1415-1
Publication statusPublished - 2008

Publication series

NameBETA publicatie : working papers
Volume255
ISSN (Print)1386-9213

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