diff --git a/paper.tex b/paper.tex index 826cc1a..97ffc38 100644 --- a/paper.tex +++ b/paper.tex @@ -34,6 +34,8 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % +% TODO: "The right strategy" pun + \titlespacing*{\section} {0mm}{3mm}{1mm} @@ -280,11 +282,11 @@ the time dispensing water, is \cite[Section 14.3]{stewart_probability_2009}% ,% \end{align*}% where $S$ denotes the service time (i.e., the time spent refilling a bottle), -$\lambda$ the mean arrival time, and $\rho = \lambda \cdot E\mleft\{ +$\lambda$ the mean arrival rate, and $\rho = \lambda \cdot E\mleft\{ S \mright\}$ the system utilization. Using our experimental data we can approximate all parameters and obtain -\todo{$W \approx \SI{4}{\second}$}. The difference to always using -the fastest strategy can be calculated as \todo{$\SI{5}{\second}$}. +$W \approx \SI{23.3}{\second}$. The difference to always using +the fastest strategy amounts to $\SI{4.14}{\second}$. % We examine the effects of the choice of hydration strategy. To % this end, we start by estimating the potential time savings possible by always % choosing the fastest strategy:%