@article{6461d9aa735740358d3f844a7cd6deaa,
title = "Monotonicity and supermodularity results for the Erlang loss system",
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}.",
keywords = "Erlang loss system, Monotonicity result, Sample path proof",
author = "{\"O}ner, {K. B.} and Kiesm{\"u}ller, {G. P.} and {van Houtum}, {G. J.}",
note = "Funding Information: The authors gratefully acknowledge the support of the Innovation-Oriented Research Programme {\textquoteleft}Integrated Product Creation and Realization (IOP IPCR){\textquoteright} of the Netherlands Ministry of Economic Affairs. The authors also thank Ward Whitt from whom they obtained helpful lecture notes on the Erlang loss system and all kinds of properties, and an anonymous referee for the suggestion to prove our main result by a sample path proof.",
year = "2009",
month = jul,
doi = "10.1016/j.orl.2009.03.007",
language = "English",
volume = "37",
pages = "265--268",
journal = "Operations Research Letters",
issn = "0167-6377",
publisher = "Elsevier B.V.",
number = "4",
}