Such central queues are called ‘liquidity-saving mechanisms’ (LSMs). There are a number of studies on plain RTGS systems, but only a few on RTGS systems augmented with LSMs. Our work contributes to this line of research. We first model a benchmark system, ie a plain RTGS system where each bank decides: (i) the amount of liquidity to use; (ii) which payments to delay in an internal queue (payments are made as banks randomly receive payment orders, which need be executed with different ‘urgency’). The benchmark model is then compared to an RTGS–plus–LSM system, where banks decide: (i) the amount.