Overcoming Instability in Computing the Fundamental Matrix for a Markov Chain∗

نویسندگان

  • DANIEL P. HEYMAN
  • DIANNE P. O’LEARY
چکیده

We present an algorithm for solving linear systems involving the probability or rate matrix for a Markov chain. It is based on a UL factorization but works only with a submatrix of the factor U. We demonstrate its utility on Erlang-B models as well as more complicated models of a telephone multiplexing system.

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تاریخ انتشار 1998