Previous studies indicate that the minimum variance strategy is a proven approach to profiting from the low volatility effect. This study integrates the low volatility effects and Warren Buffett’s “safe, cheap, high-quality strategy” into the local minimum-variance portfolio (LMVP). To test the model, we use the listed companies on the Taiwan Stock Exchange. The performance evaluation employs the benchmarks commonly used: the TWSE Weighted Index (TAIEX) and the TWSE Taiwan 50 Index. We create 12 LMVPs to evaluate their performance. The results show that the LMVP could achieve the goal of risk reduction. In addition, the evidence indicates that these LMVPs outperforms the TAIEX and the TWSE Taiwan 50 Index. Notably, the LMVP portfolio based on the modified information ratio (MIR) performs the best. This study provides a helpful reference for the finance industry to build the minimum volatility index in Taiwan stocks market.