$I$	the set of 16 main countries whose residents provided the most visits to Taiwan;
$T$	the set of planning time periods in the month;
$c_i$	the current number of tourists from country $i$ in 2018, $\forall i\in I$;
$x_i$	the decision variable representing the tourist quota assigned to country $i$, $\forall i\in I$;
Baseline
$\text{Cturist}=\sum _i\left(C_i\right)$	the number of tourists in 2018;
$\text{CCO}2=\sum _i(C_i\ast CO{2}_i)$	tourism emissions in 2018 where CO2i is the carbon emissions per person trip in segment i, $\forall i\in I$;
$\text{Cspending}=\sum _i(C_i\ast spendin{g}_i)$	the current tourism spending in 2018 where spendingi is the spending per person trip in segment i, $\forall i\in I$;
$\text{CLOS}=\sum _i(C_i\ast sta{y}_i)/\sum _i\left(C_i\right)$	the current average length of stay of all tourists in 2018 where stayi is the length of stay in segment i, $\forall i\in I$;
${\mathrm{CMtourist}}_t=\sum _i\left(C_i\ast p{m}_{it}\right)$	the current number of tourist on month $t$, $\forall t\in T$; where $p{m}_{it}=$ the percentage of tourist from country $i$ on month $t$, $\forall i\in I$, $\forall t\in T$; $\sum _{t}p{m}_{it}=1$, $\forall i\in I$;
$\text{Gini}=\frac{\sum _{\tau \in T}\sum _{t\in T}\left|mtouris{t}_t-mtouris{t}_{\tau }\right|}{2\ast {12}^2\ast \sum _{t\in T}\frac{mtouris{t}_t}{12}}$	the degree of inequality in the number of visitations to Taiwan over the year where $mtouris{t}_t$is the monthly international tourist arrivals in t, $\forall t\in T$.