A simple algebraic approximation to the Erlang loss system

A simple algebraic approximation to the Erlang loss system

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Article ID: iaor20102843
Volume: 36
Issue: 4
Start Page Number: 484
End Page Number: 491
Publication Date: Jul 2008
Journal: Operations Research Letters
Authors:
Abstract:

We use Palm calculus to derive a simple, intuitive system of two linear-quadratic equations and two unknowns, whose algebraic solution yields Harel's (1988) upper bound to the Erlang loss probability. We then derive a sequence of progressively stronger systems of equations, which eventually become exact. We provide two example applications.

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