Title : Numerical Instability of the M/D/1 System Occupancy Distribution

Author: D. Abendroth, U. Killat

Short Description:

The exact solution of the system occupancy distribution in an M/D/1 queueing model is a well known result. Nevertheless, the exact solution tends to be numerically instable already for small buffer occupancy values at low loads and for larger buffer occupancy values at high loads. What is a proper mean to handle this problem?


    • M/D/1

    • Numerical Instability

    • Tail Approximation

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