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• W2054563879 abstract "The M/G/1 model is the fundamental basis of the queueing system in many network systems. Usually, the study of the M/G/1 is limited by the assumption of single queue and infinite capacity. In practice, however, these postulations may not be valid, particularly when dealing with many real-world problems. In this paper, a two-stage state-space approach is devoted to solving the state probabilities for the multi-queue finite-capacity M/G/1 model, i.e. q-M/G/1/Ki with Ki buffers in the ith queue. The state probabilities at departure instants are determined by solving a set of state transition equations. Afterward, an embedded Markov chain analysis is applied to derive the state probabilities with another set of state balance equations at arbitrary time instants. The closed forms of the state probabilities are also presented with theorems for reference. Applications of Little's theorem further present the corresponding results for queue lengths and average waiting times. Simulation experiments have demonstrated the correctness of the proposed approaches." @default.
• W2054563879 created "2016-06-24" @default.
• W2054563879 creator A5058421184 @default.
• W2054563879 creator A5077037180 @default.
• W2054563879 date "2014-06-03" @default.
• W2054563879 modified "2023-10-01" @default.
• W2054563879 title "A two-stage approach in solving the state probabilities of the multi-queue<i>M</i>/<i>G</i>/1 model" @default.
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• W2054563879 doi "https://doi.org/10.1080/00207721.2014.919427" @default.
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