reach.ELMSO {ELMSO}

Calculating Reach from Main ELMSO Function

Description

This function allows you to calculate reach achieved at a given budget value from the ELMSO output.

Usage

reach.ELMSO(bid, a, z)

Arguments

bid

A p-dimensional vector of the bidded CPM at each website for a particular budget value

a

A p-dimensional vector of steepness values for the cost curves associated with each website

z

An n by p matrix of pageviews

Value

A value between 0 and 1 specifying the reach achieved with the given budget allocation.

References

Courtney Paulson, Lan Luo, and Gareth M. James (2018) Efficient Large-Scale Internet Media Selection Optimization for Online Display Advertising. Journal of Marketing Research: August 2018, Vol. 55, No. 4, pp. 489-506.

Examples

z=matrix(round(abs(rnorm(5000,0,0.7))),1000,5)
CPM.avg=c(3,4,5,6,7)
tau.values=rep(100,5) #Note tau here is in thousands of pageviews

allocation=ELMSO(z=z,CPM=CPM.avg,tau=tau.values)
reach.ELMSO(allocation$bid[,101],allocation$a,z)