Objectives: Demand for places in postgraduate psychiatry training programmes has increased over recent years. All systems have capacity limits, and concerns have been raised regarding the sustainability of the current intake. This paper presents a modelling exercise to exploring the presence and strategies to resolve bottleneck in the Queensland training programme. Methods: Mathematical modelling based on the RANZCP training regulations and the characteristics of the accredited training programme. Results: A training bottleneck was identified which has been impacted by increased training intake, demand for Advanced Training certificates, and location factors. Conclusions: This investigation raises important questions regarding the future management of postgraduate training in psychiatry in Queensland that may be applicable more widely across Australia and New Zealand. In particular, it highlights the large impact that can result from even small incremental increases in trainees across varying levels of the postgraduate programme and the importance of limiting trainee intake in a manner proportional to the availability of mandatory terms.