“…The 802.15.4 [6] 64 bit unique address is manufacturer specified; thus, it is always available, but the 16 bit address must be derived by a special protocol that ensures its uniqueness within the PAN. Notice that it is not possible to use the random assignment solution, as in IPv6 self-assigned addresses, because the probability of two nodes choosing the same address (a.k.a address collision) is given by the birthday paradox ( ( )) = 1 − ∏ −1 =1 (1 − /2 16 ), in which is a discrete uniform distribution of addresses and is the total number of nodes deployed. As it can be seen in Figure 1, the collision probability is over 10% with only 120 nodes and reaches 50% with ∼300 nodes.…”