This project is concerned with the performance of future quantum networks. Like for the more classic wired or wireless telecommunication networks, future quantum network performance critically depends on queueing performance in the various network components that make up the quantum network. Performance studies from classic telecommunication networks however do not easily translate to quantum networks, due to the central role that is played by entanglement. The core building block of a quantum network is the quantum repeater. This project proposes and analyses various stochastic models that capture the unique features of a repeater node in a quantum network. Specifically, it is investigated how these unique features impact performance analysis. The stochastic models are described by a system of stochastic recursions and these recursions are solved by means of probability generating functions. The relevant performance measures are deduced from these functions. The models developed in this project are combinations of kitting systems, queueing systems with abandonments and multi-class queues. Although, quite some studies focus on models with one such property, very few (if any) combine all of them, especially in a discrete-time setting. Results for this project will lead to a better understanding of the impact of making decisions in the design of future quantum networks.