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- W4289097487 abstract "We introduce a fractional generalization of the Erlang Queues $M/E_k/1$. Such process is obtained through a time-change via inverse stable subordinator of the classical queue process. We first exploit the (fractional) Kolmogorov forward equation for such process, then we use such equation to obtain an interpretation of this process in the queuing theory context. Then we also exploit the transient state probabilities and some features of this fractional queue model, such as the mean queue length, the distribution of the busy periods and some conditional distributions of the waiting times. Finally, we provide some algorithms to simulate their sample paths." @default.
- W4289097487 created "2022-08-01" @default.
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- W4289097487 date "2018-12-27" @default.
- W4289097487 modified "2023-10-16" @default.
- W4289097487 title "Fractional Erlang Queues" @default.
- W4289097487 doi "https://doi.org/10.48550/arxiv.1812.10773" @default.
- W4289097487 hasPublicationYear "2018" @default.
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