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LoRaWAN is a Low Power Wide Area Network technology featuring longtransmission ranges and a simple MAC layer, which can support sensor datacollection, control applications and reliable services thanks to theflexibility offered by a large set of configurable system parameters. However,the impact of such parameters settings on the system's performance is oftendifficult to predict, depending on several factors. To ease this task, in thispaper, we provide a mathematical model to estimate the performance of a LoRaWANgateway serving a set of devices that may or may not employ confirmed traffic.The model features a set of parameters that can be adjusted to investigatedifferent gateway and end-device configurations, making it possible to carryout a systematic analysis of various trade-offs. The results given by theproposed model are validated through realistic ns-3 simulations that confirmthe ability of the model to predict the system performance with high accuracy,and assess the impact of the assumptions made in the model for tractability.

A Configurable Mathematical Model for Single-Gateway LoRaWAN Performance Analysis