Discrete Time Analysis of Multi-Queue Systems with Multiple Departure Streams in Material Handling and Production under Different Service Rules

In this work, we present a modelling approach in order to depict service rules holistically. The developed model is called multi-queue system with multiple departure streams (MQSMDS). The MQSMDS is modelled as a discrete time Markov chain. On the basis of a numerical study, the system characteristics are evaluated. The results of this work enable a rapid and low-cost analysis of material handling and production systems as well as a fast and easy identification of suitable service rules.