Characteristic of multi-class multi-queue system

In this paper, we propose MCMQS (multi-class multi-queue system), which is effective in modeling and analyzing computer and communication systems, and we investigate its characteristics in detail. First, we deduce MCMQS's general system stability condition, and give its application in concrete types of services. Through analyzing the service procedure and number of waiting messages, we construct an embedded Markov chain and a generation function of waiting messages. Then, we derive an analytical expression of MCMQS's mean system operation period under the system stable condition. Further, we amend the analytical expression after considering the effect of the system stable condition. A numerical example verifies the theoretical analysis.