Decentralized exchanges (DEXs) can support large-scale, high-frequency trading, but their order-matching mechanisms face challenges. On-chain order books, like those on early DEXs, suffer from slow transaction speeds and high costs due to blockchain confirmation times, limiting throughput. Automated Market Makers (AMMs), common in modern DEXs, rely on liquidity pools and price curves, enabling faster trades but struggling with slippage and impermanent loss during high volatility. Off-chain order matching, used by some hybrid DEXs, improves speed by processing orders off-chain while settling on-chain, approaching centralized exchange performance. However, scalability depends on the blockchain's throughput, layer-2 solutions, and network latency. Advanced DEXs using rollups or sidechains can handle thousands of transactions per second, but they still lag behind centralized exchanges in latency and cost for ultra-high-frequency trading. With ongoing improvements in blockchain scaling and hybrid architectures,