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Second-order conditions on the overflow traffic function from the Erlang-B system: a unified analysis

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Publication:844513
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DOI10.1007/s10958-009-9605-xzbMath1208.60088OpenAlexW1988974668MaRDI QIDQ844513

Domingos Moreira Cardoso, Jorge Sá Esteves, José F. Craveirinha

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9605-x


zbMATH Keywords

submodular functionErlang loss formulaoverflow trafficsecond order derivative


Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)


Related Items

On a bicriterion server allocation problem in a multidimensional Erlang loss system



Cites Work

  • Unnamed Item
  • On the continued Erlang loss function
  • An S-fraction and \(\ell n^ 2(1+x)\)
  • On the convexity of loss probabilities
  • Convexity Properties of the Erlang Loss Formula
  • Some allocation problems for critically loaded loss systems with independent links
  • Some Properties of the Erlang Loss Function
  • Computing erlang–b function derivatives in the number of servers
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