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An Adaptive Grey Forecasting Model NGM(1, 1, k2) and Its Application for Short-term Traffic Flow Prediction

Published: 22 October 2019 Publication History

Abstract

One of the most important factors that lead to the instability of the traditional grey NGM(1, 1, k2) model is the parameter estimation error. Based on the background value optimization, studying the parameter estimation method is an important method to improve the performance of the grey model. In this paper, a new adpative grey model with quadratic time-varying parameters is put forward in which the formula to improve the background value of the traditional grey NGM(1, 1, k2) model is deduced by using Lagrange mean value theorem, a new kind of adaptve parameter optimized by particle swarm optimization algorithm is introduced, and the optimal constant value in the time response function is derived based on the sum of squares of relative errors. Experimental results have shown the practicality and effectiveness of the presented optimization model.

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  1. An Adaptive Grey Forecasting Model NGM(1, 1, k2) and Its Application for Short-term Traffic Flow Prediction

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    CSAE '19: Proceedings of the 3rd International Conference on Computer Science and Application Engineering
    October 2019
    942 pages
    ISBN:9781450362948
    DOI:10.1145/3331453
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    New York, NY, United States

    Publication History

    Published: 22 October 2019

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    Author Tags

    1. 1
    2. Lagrange mean value theorem
    3. NGM(1
    4. background value
    5. k2)
    6. time response function

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