# Achievement Prediction and Performance Assessment System for Nations in the Asian Games
###### Abstract
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Authors** & **Inputs** & **Outputs** & **Methods** & **Events and Targets** \\ \hline \multirow{4}{*}{[PERSON] et al. [2]} & Gross domestic product & single output = 0.5814 & \multirow{4}{*}{VRS (variable returns to scale)} & nations participating in \\  & (GDP), population & \(\times\) gold + 0.2437 \(\times\) & & \\  & (GDP), population & silver + 0.1749 \(\times\) & & \\  & & bronze & & \\ \hline \multirow{4}{*}{[PERSON] et al. [3]} & GDP per capita, disability-adjusted life expectancy, the index of equality of survival & gold, silver, and bronze medals & self-organizing maps in a two-stage DEA methodology & nations participating in the 2000 Sydney \\ \hline \multirow{4}{*}{[PERSON] [4]} & GDP, population & gold, silver, and bronze medals & data envelopment & 1990 Beijing Asian \\  & GDP, population & medals & analysis & Games to 2006 Doha \\  & GDP per capita (in USD), population & gold, silver, and bronze medals & assurance region & \\  & USD, population & medals & output-oriented DEA & Games \\ \hline \multirow{2}{*}{[PERSON] et al. [6]} & GDP per capita, population & gold, silver, and bronze medals & cross-efficiency DEA & 1984 to 2004 Olympic \\  & GDP, population & medals & and Spearman test & Games \\ \hline \multirow{4}{*}{[PERSON] et al. [7]} & GDP, population & gold, silver, and bronze medals & VRS output-oriented DEA model with lexicographic preferences & 2004 Athens Olympic \\ \hline \multirow{2}{*}{[PERSON] et al. [8]} & GDP, population & gold, silver, and bronze medals & integer-valued DEA model & 2008 Beijing Olympic \\  & GDP, population & gold, silver, and bronze medals & model & Games \\ \hline \multirow{2}{*}{[PERSON] et al. [9]} & GDP, population & gold, silver, and bronze medals & nonradial DEA model & 2008 Beijing Olympic \\  & GDP, population & gold, silver, and bronze medals & improved bounded DEA models & 2004 Athens Olympic \\ \hline \multirow{2}{*}{[PERSON] et al. [11]} & GDP, population & gold, silver, and bronze medals & a parallel DEA & 2012 London Summer \\  & GDP, population & medals & a parallel DEA & Olympics, 2010 \\  & GDP, population & medals & approach & Vancouver Winter \\  & & & & Olympic Games \\ \hline \multirow{2}{*}{[PERSON] [12]} & GDP, population & gold, silver, and bronze medals & DEA, metafrontier, technology gap ratio & 1992 Barcelona to 2012 London Olympic \\  & GDP, population & gold, silver, and bronze medals & deminance network & London Olympic Games \\ \hline \multirow{2}{*}{[PERSON] and [PERSON] [13]} & GDP, population & gold, silver, and bronze medals & dominance network DEA & 2008 Beijing Olympic \\  & GDP, population & gold, silver, and bronze medals & a parallel DEA & Games \\  & GDP, population & medals & approach & Games \\ \hline \multirow{2}{*}{[PERSON] and [PERSON] [15]} & GDP, economic active population, corruption perception index & gold, silver, and bronze medals & data envelopment & 2016 Rio Olympic \\  & population, corruption & medals & analysis & Games \\ \hline \multirow{2}{*}{[PERSON] et al. [16]} & population, GDP per capita, athletes & gold, silver, and bronze medals & two-stage multiplier DEA & 2018 PyeongChang \\ \cline{2-5}  & GDP, population, medals won in the last Olympic Games & gold, silver, and bronze medals & a complex restricted multiplier DEA & 2016 Rio Olympic \\ \hline \multirow{2}{*}{[PERSON] and [PERSON] [18]} & GDP, population & gold, silver, and bronze medals & weighted Tchebycheff solution method & 2020 Tokyo Olympic \\  & GDP, population & gold, silver, and bronze medals & DEA, metafrontier & 1992 to 2020 Olympic \\  & GDP, population & medals & and Paralympic Games & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: The summaries of efficiency analysis of nations participating in mega-sports events. Data envelopment analysis is a useful tool for measuring the relative efficiencies of participating nations in the Olympic Games [17].