As the microfluidic technology advances, the design complexity of digital microfluidic biochips (DMEB) are expected to explode in the near future. One of the most critical challenges for DMFB design is the droplet routing problem, which schedules the movement of each droplet in a time-multiplexed manner. In this paper, we propose a fast routability- and performancedriven droplet router for DMFBs. The main contributions of our work are: (1) a global moving vector analysis for constructing preferred routing tracks to minimize the number of used unit cells; (2) an entropy-based equation to determine the routing order of droplets for better routability; (3) a routing compaction technique by dynamic programming to minimize the latest arrival time of droplets. Experimental results show that our algorithm achieves 100% routing completion for all test cases on three Benchmark Suites while the previous algorithms are not. In addition to routability, compared with the state-of-theart high-performance routing on the Benchmark Suite I , the experimental results still show that our algorithm performed better in runtime by 40%, reduced the latest arrival time by 21%, reduced the used unit cells by 10%. Furthermore, experiment results on Benchmark Suite II and III are also very promising. Based on the evaluation of three Benchmark Suites, our algorithm demonstrates the efficiency and robustness of handling complex droplet routing problem over the existing algorithms.