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- W2148047247 abstract "We study in this paper an approximation method for the calculation of various performance measures of a GI/G/1 queue. Instead of solving the waiting time directly, we analyze the idle-period distribution as the starting point. The result is then taken as input to many known results to get other performance measures. We show that the distribution of the GI/G/1 idle period satisfies a nonlinear integral equation. This equation directly leads to an accurate approximate solution of the idle-period distribution of the GI/G/1 queue where the interarrival times have a generalized hyperexponential distribution (GH). Since all distribution functions can be approximated by a GH distribution at any given accuracy (Botta and Harris [Botta, R. F., C. M. Harris. 1986. Approximation with generalized hyperexponential distributions: Weak convergence results. Queueing Systems 2 169–190.]), the solution method developed in this paper serves as a unified basis for the analysis of GI/G/1 queues." @default.
- W2148047247 created "2016-06-24" @default.
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- W2148047247 date "1997-02-01" @default.
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- W2148047247 title "An Approximation Method for the Analysis of <i>GI</i>/<i>G</i>/1 Queues" @default.
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- W2148047247 doi "https://doi.org/10.1287/opre.45.1.140" @default.
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