The study of the bin packing problem is of great academic significance and plays an extremely important role in the economy and society. By studying the bin packing problem, find the optimal packing layout to achieve resource conservation and economic benefits. This paper summarizes, analyzes and concludes the constraints and algorithms of the packing problem under the background of one-dimensional and two-dimensional, puts forward the shortcomings of the current research on the bin packing problem, and gives corresponding suggestions for the shortcomings of the problem and proposes the future research directions. The experiments show that RLHA significantly outperformed the other four algorithms.