A new method of software reliability models

As the development of computer technology and the rapid reduction of hardware cost, lots of computer systems which have complex constructions or powerful functions are used in every key areas far and wide. The study of software reliability models will becomes more and more important and useful in the future. The paper introduces the definitions and theoretical foundations of one-dimensional and many dimensional Random Walks. After analyzing and comparing other relevant models, we put forward a software reliability model based on Random Walks. However, Random Walks is a kind of hardly predictable random behavior. The distance of Random Walks is only related to times and is in direct proportion to the square root of times without a certain direction. So there is less factors influenced the model and the model doesn't need high-quality conditions. The advantages of this model are that the test cases from this model can be used for a long time to save time, the model is simpler than others, the cost is low and the results are more reliability.