Formula
Installed sensors = Sites × Points per site × Sensors per point
Procured sensors = ceil(Installed × (1 + Spare allowance))
Total gateways = ceil(ceil(Installed ÷ Gateway capacity) × (1 + Gateway reserve))
What the result means
Procured sensors include installed units and uninstalled spares. Gateways are sized from installed sensors, then increased by a reserve allowance.
Radio range, building layout, channel limits, message rate, backhaul, power, and vendor-specific concurrency limits may require more gateways than device count alone.