an.tsouchlos/bib-paper
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases 3 Wiki Activity

Add proper values for the response time calculatio

Browse Source
This commit is contained in:
Andreas Tsouchlos 2025-05-29 23:22:47 -04:00
parent 47a304c129
commit 0d47bfc947
1 changed files with 5 additions and 3 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

8
paper.tex
View File

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