The TICK Stack is a popular open-source monitoring platform that can run on the Raspberry Pi, an inexpensive and low-power single-board computer. The choice of Raspberry Pi model depends on the desired performance and storage requirements, with quad-core 64-bit CPUs being recommended for database applications. Storage performance is crucial, as the SD card can be a bottleneck, so it's essential to use a fast Class 10 SD card or consider using a USB boot mode with a larger capacity SSD. The TICK Stack can be installed using the InfluxData package repository and `apt` on Raspbian, which provides an easy-to-use installation process. Docker is another popular option for running the TICK Stack on a Raspberry Pi, offering isolation and ease of use. Manual options like downloading binaries or building from source are also available, but may require more technical expertise. When using the TICK Stack on a Raspberry Pi, it's essential to consider tradeoffs in terms of software and data processing capabilities due to the device's constraints.