Asymmetry analysis of discrete‐time periodic query double‐queue threshold control system

Abstract

AbstractAccording to the operation mechanism and characteristics of the asymmetric polling system in token ring network, the physical structure model of the system under the asymmetric double‐queues threshold control strategy is established. Under the condition of defining the system state variables and parameters, the mathematical model describing the asymmetric double‐queues threshold control policy was abstracted. The discrete time Markov chain and an important analytical tool for studying the distribution pattern of random variables were used as the analysis method and means. The performance indexes of the asymmetric double‐queues threshold service control system are studied effectively, the average queuing length and the average cycle length of the system are analyzed precisely, the six second‐order characteristic expressions of the system are analyzed completely, and the average waiting delay equation of the system is analyzed optimally. The results of simulation experiment and theoretical numerical calculation are in good agreement. This study presents a further understanding of the internal law of asymmetry problem in the double‐queues threshold control policy so as to create the study basis and conditions for the research of asymmetric multi‐queues threshold control strategy.