ALICE luminosity determination for p-Pb collisions at $\sqrt{s_{\rm NN}}=8.16$ TeV

Luminosity determination in ALICE is based on visible cross sections measured in van der Meer scans. In 2016, the Large Hadron Collider provided proton-lead collisions at a centre-of-mass energy of $\sqrt{s_{\rm NN}}=8.16$ TeV. There were two scans, one with the proton beam traveling towards the ALICE forward muon spectrometer and the second with the proton beam traveling in the opposite direction. During these scans cross sections were measured for two classes of visible interactions, based on particle detection in the ALICE luminometers: the T0 detector with pseudorapidity coverage $4.6<\eta< 4.9$, $-3.3<\eta<-3.0$ and the V0 detector covering $2.8<\eta< 5.1$, $-3.7<\eta<-1.7$. This document describes the experimental setup for such measurements and reports their results.