Further Results on the M/M/l Queue with Randomly Varying Rates.
DELAWARE UNIV NEWARK DEPT OF STATISTICS AND COMPUTER SCIENCE
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This paper demonstrates that the MMc queue, with arrival and service rates which vary according to the state of a Markov process, has a steady-state probability vector of a modified matrix-geometric form. The rate matrix R is the unique positive solution to a quadratic matrix equation, which may be solved numerically by successive substitutions. A theorem which provides an accuracy check on that computation is proved. Finally a numerical example is discussed and its results are interpreted.
- Statistics and Probability
- Operations Research