Statistical Processing and Quality of Service for Incoming Traffic in Markov Chains
Mihail Iliev, Ivelina Stefanova Balabanova, Stela Savova Kostadinova, Georgi Georgiev · 2019
A simulation modeling of M/M/1 teletraffic system is performed, setting the Average Arrival Rate and Average Service Time and output data are received for the entering time of the user requests into the system. Transitions and states diagrams are given. Information arrays concerning current moments of receiving calls for users with identification numbers 100, 200, 300 and 400 are formed. The task of statistical processing and optimization of incoming traffic, based on a quality control approach on the representative sets, is considered. Theoretical nominal and acceptable limit values for arrival time are defined, as a result of processing. Verifications are performed to what extent the experimental observations and the obtained samples as mean values between them had a normal distribution, and if they fell within the respective limits. With respect to each of the surveyed data sets, basic quality indicators are calculated, illustrated by multiple X-Bar and R plots and probability histograms. The results of the quality analysis show the highest level of quality with respect to the data set for customer in order of entry requests number 400. The presented approach to statistical analysis and quality control includes further steps under establishing samples beyond the limits of optimality and their exclusion from the composition of the input data.