Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) Model

Due to the uncertainty and variability of various factors affecting the pavement performance, the change in pavement performance cannot be completely determined. In addition, this uncertainty is not accurately reflected by the pavement performance prediction model. In particular, the gray GM (1, 1)...

Full description

Saved in:
Bibliographic Details
Main Authors: Limin Tang, Duyang Xiao
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2019/9274653
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849307357111123968
author Limin Tang
Duyang Xiao
author_facet Limin Tang
Duyang Xiao
author_sort Limin Tang
collection DOAJ
description Due to the uncertainty and variability of various factors affecting the pavement performance, the change in pavement performance cannot be completely determined. In addition, this uncertainty is not accurately reflected by the pavement performance prediction model. In particular, the gray GM (1, 1) model is very suitable due to it is ability to better predict the existing situation of a domestic asphalt pavement along with the actual performance of a road surface of the “small sample, poor information” gray system. In this regard, the gray GM (1, 1) model is being increasingly used to forecast the performance of an asphalt pavement. When a gray GM (1, 1) model is used to predict the performance of an asphalt pavement, the condition number of the GM (1, 1) model matrix is too large, which, in turn, leads to the deviation of calculation and even wrong results in some cases. This study analyzed the reason for a large condition number of the GM (1, 1) model matrix. Combined with the numerical characteristics of the pavement condition index (PCI) and pavement quality index (PQI), this study focused on the annual, monthly, and daily attenuations of PCI and PQI to the condition number of the GM (1, 1) model matrix. Accordingly, we propose a method to forecast the performance of an asphalt pavement using the monthly attenuation of PCI and PQI. The PCI and PQI in Hunan Province in recent years have been predicted, and the findings reveal that the prediction GM (1, 1) model for the monthly attenuation of PCI and PQI not only effectively lowered the condition number of the matrix but also ensured that the relative error was small.
format Article
id doaj-art-28e788cd110d4ea7b60883f2d9d750a6
institution Kabale University
issn 1687-8086
1687-8094
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Advances in Civil Engineering
spelling doaj-art-28e788cd110d4ea7b60883f2d9d750a62025-08-20T03:54:47ZengWileyAdvances in Civil Engineering1687-80861687-80942019-01-01201910.1155/2019/92746539274653Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) ModelLimin Tang0Duyang Xiao1School of Traffic and Transportation Engineering, Changsha University of Science and Technology, 960 Wanjiali S. Rd., Changsha, Hunan Province 410004, ChinaSchool of Traffic and Transportation Engineering, Changsha University of Science and Technology, 960 Wanjiali S. Rd., Changsha, Hunan Province 410004, ChinaDue to the uncertainty and variability of various factors affecting the pavement performance, the change in pavement performance cannot be completely determined. In addition, this uncertainty is not accurately reflected by the pavement performance prediction model. In particular, the gray GM (1, 1) model is very suitable due to it is ability to better predict the existing situation of a domestic asphalt pavement along with the actual performance of a road surface of the “small sample, poor information” gray system. In this regard, the gray GM (1, 1) model is being increasingly used to forecast the performance of an asphalt pavement. When a gray GM (1, 1) model is used to predict the performance of an asphalt pavement, the condition number of the GM (1, 1) model matrix is too large, which, in turn, leads to the deviation of calculation and even wrong results in some cases. This study analyzed the reason for a large condition number of the GM (1, 1) model matrix. Combined with the numerical characteristics of the pavement condition index (PCI) and pavement quality index (PQI), this study focused on the annual, monthly, and daily attenuations of PCI and PQI to the condition number of the GM (1, 1) model matrix. Accordingly, we propose a method to forecast the performance of an asphalt pavement using the monthly attenuation of PCI and PQI. The PCI and PQI in Hunan Province in recent years have been predicted, and the findings reveal that the prediction GM (1, 1) model for the monthly attenuation of PCI and PQI not only effectively lowered the condition number of the matrix but also ensured that the relative error was small.http://dx.doi.org/10.1155/2019/9274653
spellingShingle Limin Tang
Duyang Xiao
Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) Model
Advances in Civil Engineering
title Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) Model
title_full Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) Model
title_fullStr Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) Model
title_full_unstemmed Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) Model
title_short Monthly Attenuation Prediction for Asphalt Pavement Performance by Using GM (1, 1) Model
title_sort monthly attenuation prediction for asphalt pavement performance by using gm 1 1 model
url http://dx.doi.org/10.1155/2019/9274653
work_keys_str_mv AT limintang monthlyattenuationpredictionforasphaltpavementperformancebyusinggm11model
AT duyangxiao monthlyattenuationpredictionforasphaltpavementperformancebyusinggm11model