Abstract: It introduces the GM(1,1) model of the gray predication theory and its application in the predication of highway traffic flow. The Butterworth low pass filter was applied to correct the error for the GM(1,1) model. The new method for error correction improves the accuracy and the stability of the GM(1,1) model. The predication system can fully meet the requirements of the clients, and it has some practical significance and reference value.
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Key words: gray predication；GM(1, 1) model；Butterworth filter；traffic flow predication；error correction