An efficient computation algorithm for a multiserver feedback retrial queue with a large queueing capacity

作者：Do Tien Van^*

来源：Applied Mathematical Modelling, 2010, 34(8): 2272-2278.

DOI：10.1016/j.apm.2009.10.025

• Efficient Algorithm
• Feedback queue

Kumar et al. consider the M/M/c/N+c feedback queue with constant retrial rate [1]. They provide a solution for the steady state probabilities based on the matrix-geometric method. We show that there exists a more efficient computation method to calculate the steady state probabilities when N + c is large. We prove that the number of zero-eigenvalues of the characteristic matrix polynomial associated with the balance equation is [(N + c + 2)/2]. As consequence, the remaining eigenvalues inside the unit circle can be computed in a quick manner based on the Sturm sequences. Therefore, the steady state probabilities can be determined in an efficient way.

• 出版日期2010-8