Package jline.api.mam

Class Qbd_depproc_etaqa_psKt

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    • Method Summary

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      final static MatrixCell qbd_depproc_etaqa_ps(MatrixCell MAPa, MatrixCell MAPs, Integer n) Compute MAP departure process for MAP/MAP/1-PS via ETAQA truncationBuilds a finite MAP {D0, D1} that approximates the departure process under Processor Sharing discipline by truncating the QBD state space at level n.

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        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

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      • qbd_depproc_etaqa_ps

         final static MatrixCell qbd_depproc_etaqa_ps(MatrixCell MAPa, MatrixCell MAPs, Integer n)

        Compute MAP departure process for MAP/MAP/1-PS via ETAQA truncation

        Builds a finite MAP {D0, D1} that approximates the departure process under Processor Sharing discipline by truncating the QBD state space at level n. Under PS, the service completion rate at level j is split: fraction 1/j goes to D1 (departure) and fraction (1-1/j) stays in D0 (non-departure transition).

        The D0 block structure starts as in FCFS, then adds:

        • Bbar at block (n, n-1) and Bhat*(n-1)/n at block (n, n) for the tail level

        • B*(1-1/j) at block (j, j-1) for levels j=1..n-1 (PS non-departure fraction)

        The D1 block structure has:

        • Bbar at block (n, n-1) and Bhat/n at block (n, n) for the tail level

        • B*(1/j) at block (j, j-1) for levels j=1..n-1 (PS departure fraction)

        Parameters:
        MAPa - Arrival MAP (MatrixCell with D0 and D1)
        MAPs - Service MAP (MatrixCell with D0 and D1)
        n - Truncation level (number of QBD levels beyond level 0)
        Returns:

        MatrixCell containing D0 and D1 matrices of the departure MAP