On the continued Erlang loss function

A.A. Jagers; Erik A. van Doorn

doi:10.1016/0167-6377(86)90099-4

On the continued Erlang loss function

A.A. Jagers, Erik A. van Doorn

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Abstract

We prove two fundamental results in teletraffic theory. The first is the frequently conjectured convexity of the analytic continuation B(x, a) of the classical Erlang loss function as a function of x, x 0. The second is the uniqueness of the solution of the basic set of equations associated with the ‘equivalent random method’.

Original language	Undefined
Pages (from-to)	43-46
Journal	Operations research letters
Volume	5
Issue number	1
DOIs	https://doi.org/10.1016/0167-6377(86)90099-4
Publication status	Published - 1986

Keywords

IR-69738

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10.1016/0167-6377(86)90099-4

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Cite this

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title = "On the continued Erlang loss function",

abstract = "We prove two fundamental results in teletraffic theory. The first is the frequently conjectured convexity of the analytic continuation B(x, a) of the classical Erlang loss function as a function of x, x 0. The second is the uniqueness of the solution of the basic set of equations associated with the {\textquoteleft}equivalent random method{\textquoteright}.",

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T1 - On the continued Erlang loss function

AU - Jagers, A.A.

AU - van Doorn, Erik A.

PY - 1986

Y1 - 1986

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AB - We prove two fundamental results in teletraffic theory. The first is the frequently conjectured convexity of the analytic continuation B(x, a) of the classical Erlang loss function as a function of x, x 0. The second is the uniqueness of the solution of the basic set of equations associated with the ‘equivalent random method’.

KW - IR-69738

U2 - 10.1016/0167-6377(86)90099-4

DO - 10.1016/0167-6377(86)90099-4

M3 - Article

SN - 0167-6377

VL - 5

SP - 43

EP - 46

JO - Operations research letters

JF - Operations research letters

IS - 1

ER -