diff --git a/_includes/research.md b/_includes/research.md index ff8b6b1..cbafa36 100644 --- a/_includes/research.md +++ b/_includes/research.md @@ -17,7 +17,6 @@ The approach can be broken down into two main steps: The base integer linear programming approach aims to judiciously allocate sensors to space objects in a manner where the severity of the worst-case scenario is minimized. Formally, the ILP is given by - $$ \begin{aligned} \text{maximize} \quad & t \\ @@ -28,7 +27,7 @@ $$ \end{aligned} $$ -Here $$X_{ijt}$$ is a binary 3-dimensional control variable representing whether or not observer $j$ observers object $i$ at time step $t$, and $O_{ijt}$ represents whether or not observer $j$ *is able to* observe object $i$ at time $t$. +Here $$X_{ijt}$$ is a binary 3-dimensional control variable representing whether or not observer $$j$$ observers object $$i$$ at time step $$t$$, and $$O_{ijt}$$ represents whether or not observer $$j$$ *is able to* observe object $i$ at time $$t$$. For ground based-sensors, the ILP plan can be visualized as follows: ![ILP-Plan](../assets/images/ilp-plan-600.gif)