1 research outputs found
Asymptotic Analysis of Losses in the Queueing System as Increases to Infinity
The paper studies asymptotic behavior of the loss probability for the
queueing system as increases to infinity. The approach of the
paper is based on applications of classic results of Tak\'acs (1967) and the
Tauberian theorem with remainder of Postnikov (1979-1980) associated with the
recurrence relation of convolution type. The main result of the paper is
associated with asymptotic behavior of the loss probability. Specifically it is
shown that in some cases (precisely described in the paper) where the load of
the system approaches 1 from the left and increases to infinity, the loss
probability of the queue becomes asymptotically independent of the
parameter .Comment: 23 pages, 12pt, 1 table, to apear in "Quality Technology and
Quantitative Management