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 diff --git a/coinselection/ilp.tex b/coinselection/ilp.texindex b182000..5d65ae5 100644--- a/coinselection/ilp.tex+++ b/coinselection/ilp.tex@@ -59,7 +59,7 @@ Simple model: - \sum_{c \in {\cal C}} n_c \cdot \alpha \\ \texttt{such that} \quad \bigwedge_{c \in {\cal C}} n_c \cdot (d_c + f^{withdraw}_c) &\le w \label{eq:sound} \\ - n_c &\in {\mathbb N_0} \label{eq:nc} + n_c &\in {\mathbb N}_0 \label{eq:nc} \end{align} Explanations:@@ -112,7 +112,7 @@ and then study the affect on larger simulations of many transactions. \begin{align} \min &M \cdot \tau + \sum_{c \in {\cal C}} s_c - + \sum_{c \in {\cal C}} n_c \cdot \alpha)+ + \sum_{c \in {\cal C}} n_c \cdot \alpha + \sum_{c \in {\cal C}} r_c \cdot \beta \\ \texttt{such that} \quad \bigwedge_{c \in {\cal C}} n_c \cdot d_c &\ge s_c \label{eq:coinnum} \\ @@ -121,10 +121,10 @@ and then study the affect on larger simulations of many transactions. \sum_{c \in {\cal C}} (s_c - f^{deposit}_c \cdot n_c) + f &\ge p \label{eq:fees} \\ \sum_{c \in {\cal C}} s_c - \tau p &\le p \label{eq:tau} \\ \tau &\in \{0,1\} \label{eq:bin} \\- n_c &\in {\mathbb N_0} \label{eq:nc} \\- s_c &\in {\mathbb R^+_0} \label{eq:r} \\- r_c \cdot d_c + sc_c \ge n_c \cdot d_c \label{eq:refresh} \\- r_c &\in \{0,1\}_ \label{eq:rc} + n_c &\in {\mathbb N}_0 \label{eq:nc} \\+ s_c &\in {\mathbb R}^+_0 \label{eq:r} \\+ r_c \cdot d_c + s_c &\ge n_c \cdot d_c \label{eq:refresh} \\+ r_c &\in \{0,1\} \label{eq:rc} \end{align} Explanations: