A lower bound for the Erlang C formula in the Halfin-Whitt regime

Autor: Johan S. Leeuwaarden, Augustus J. E. M. Janssen, Bert Zwart
Přispěvatelé: Mathematics, Stochastic Operations Research, Control Systems, Eurandom
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Janssen, A J E M, van Leeuwaarden, J S H & Zwart, A P 2011, ' A lower bound for the Erlang C formula in the Halfin-Whitt regime. ', Queueing Systems, vol. 2011, pp. 361-363 . https://doi.org/10.1007/s11134-011-9244-z
Queueing Systems, 2011, 361-363. Springer Netherlands
Queueing Systems: Theory and Applications, 68(3-4), 361-363. Springer
ISSN: 1572-9443
0257-0130
DOI: 10.1007/s11134-011-9244-z
Popis: One of the classical models of queueing theory is the M/M/s queue or Erlang delay model. This model has s homogeneous servers working in parallel. Customers arrive according to a Poisson process with arrival rate λ, and the service times are independent and exponentially distributed with mean 1/μ. Let the offered load be a = λ/μ and assume a < s to have a proper steady-state distribution. The most important performance characteristic for this system is the probability that a customer is delayed when arriving at the system in steady state. This probability is known as the Erlang C formula, given by (with ρ = a/s)
Databáze: OpenAIRE
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