Modelling throughput through the justice system

His Majesty's Courts and Tribunal Service is a complex system that criminal cases flow through. Understanding how the system works and how cases flow through the system can be used to plan and evaluate the system. We design a simple compartmental systems that can be used to represent the service. We then propose both an agent based model and a system dynamics model of the system and explore how simulations of from these models can be used to make counterfactual statements about the functioning of the criminal justice system. We also explore data sets that can be used to learn the model parameters and which data sets would be required to model a more complicated version of the system.