Phoenix: A Collaborative Location-Based Notification System for Mobile Networks

Table 1

Summary of major notations.

𝑟	Radius of target area
𝐴	Area of target area
𝑛	Number of users in the target area
𝑣	Average moving speed
𝐶𝑚	Variable maintained for message 𝑚
𝑑	Transmission range
𝑤	Mobility model parameter
𝛽	Pairwise meeting rate
𝜃	Movement direction angle to leave the area
𝜌	Desired carrier percentage
𝜆	Rate of users leaving target area
𝑟𝑝	Rate of producing message copies
𝑟𝑑	Rate of carrier leaving target area
𝑃𝑠	Expected notification ratio