Transient blocking probability in a loss system with arbitrary initial conditions (Q915283)
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scientific article; zbMATH DE number 4151575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transient blocking probability in a loss system with arbitrary initial conditions |
scientific article; zbMATH DE number 4151575 |
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Transient blocking probability in a loss system with arbitrary initial conditions (English)
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1990
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Extending the way of calculation in the book of \textit{J. Riordan}, Stochastic service systems. (1962; Zbl 0106.336), an exact expression is derived for the transient blocking probability of an M/M/N loss system assuming an arbitrary initial state distribution. Clearly, the expression contains the roots of a polynom of degree N, which are all distinct. The author recommends his formula for the approximation of lost traffic of systems with nonhomogeneous Poisson arrivals.
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transient probabilities
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blocking probability
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loss system
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Poisson arrivals
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