On the continued Erlang loss function
type: Item
instance of: scholarly article
title: On the continued Erlang loss function
zbMATH Open document ID: 0595.60089
DOI: 10.1016/0167-6377(86)90099-4
author: A. A. Jagers
author: Erik A. van Doorn
published in: Operations Research Letters
publication date: 1986-01-01T00:00:00Z
full work available at URL: on-the-continued-erlang-loss-function(dd5a4e45-58ba-40ff-968e-99d8e8807682).html
review text: Results: 1) The continuation \(B(x,a)=\{a\int^{\infty}_{0}e^{- at}(1+t)^ xdt\},\) \(a>0\), \(x\geq 0\), of the Erlang loss function is convex. 2) For given mean \(\mu\geq 0\) and peakedness factor \(\zeta\geq 1\) there exist exactly one pair (a,x), \(a>0\), \(x\geq 0\), such that the continuations of the mean function m(x,a) and the peakedness function z(x,a) of the overflow process of the associated Erlang system coincide with \(\mu\) and \(\zeta\).
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 68M20
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 3958401
zbMATH Keywords: analytic continuation
zbMATH Keywords: Erlang loss function
zbMATH Keywords: overflow process
reviewed by: Hans Daduna
MaRDI profile type: Publication
OpenAlex ID: W2159675476
cites work: Q3661894
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cites work: Resource Sharing for Efficiency in Traffic Systems
cites work: Q3273543
cites work: Q3731348
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description: scientific article; zbMATH DE number 3958401