Abstract
Capacity planning of modern telecommunication systems using the Erlang-B or Erlang-C models is hampered by the inability of these models to capture critical system characteristics. Two-dimensional birth–death models offer the opportunity to remedy this. The steady state behavior of two-dimensional birth–death processes is found by numerically solving a linear matrix equation whose special structure is exploited to substantially speed its solution. Two detailed applications drawn from telecommunications capacity planning are presented.
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Servi, L. Algorithmic Solutions to Two-Dimensional Birth–Death Processes with Application to Capacity Planning. Telecommunication Systems 21, 205–212 (2002). https://doi.org/10.1023/A:1020942430425
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DOI: https://doi.org/10.1023/A:1020942430425