STABLE ALGORITHM FOR COMPUTING THE STATIONARY DISTRIBUTION OF QUEUEING SYSTEM BMAP|SM|1 WITH MARKOV FLOW OF DISASTERS AND TWO OPERATION MODES

摘要

A stable algorithm for computing the stationary probabilities of the state of a BMAP|SM|1 queueing system with Markov flow of catastrophic failures, two operation modes, and a threshold management strategy is developed. A numerical example that illustrates the efficiency of the algorithm in finding an optimal threshold strategy of system management is presented.