  Compact binary coalescences are a promising source of gravitational waves for
second-generation interferometric gravitational-wave detectors such as advanced
LIGO and advanced Virgo. These are among the most promising sources for joint
detection of electromagnetic (EM) and gravitational-wave (GW) emission. To
maximize the science performed with these objects, it is essential to undertake
a followup observing strategy that maximizes the likelihood of detecting the EM
counterpart. We present a follow-up strategy that maximizes the counterpart
detection probability, given a fixed investment of telescope time. We show how
the prior assumption on the luminosity function of the electro-magnetic
counterpart impacts the optimized followup strategy. Our results suggest that
if the goal is to detect an EM counterpart from among a succession of GW
triggers, the optimal strategy is to perform long integrations in the highest
likelihood regions, with a time investment that is proportional to the $2/3$
power of the surface density of the GW location probability on the sky. In the
future, this analysis framework will benefit significantly from the
3-dimensional localization probability.
