Asymptotic analysis and simple approximation of the loss probability of the GI(X)/M/c/K queue
We consider the GI(X)/M/c/K queues with partial rejection or total rejection, and find an asymptotic behavior of loss probability of the GI(X)/M/c/K queue as K tends to infinity. The asymptotic loss probability is expressed only in terms of the roots of the characteristic equation and the boundary probabilities of the corresponding GI(X)/M/c queue. Numerical examples show that the asymptotic loss probability is a quite accurate approximation for the loss probability of the GI(X)/M/c/K queue even when the system capacity K is moderate. (C) 2003 Elsevier B.V. All rights reserved.
gi(x)/m/c/k queue partial rejection total rejection asymptotic loss probability