Modeling the Cases of Road Traffic Crashes: A Case of Exponential Smoothing Approach

O.C.Asogwa; C.M.Eze; C.R.Okonkwo

doi:https://doi.org/10.14445/22315373/IJMTT-V65I1P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 1 | Year 2019 | Article Id. IJMTT-V65I1P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I1P508

Modeling the Cases of Road Traffic Crashes: A Case of Exponential Smoothing Approach

O.C.Asogwa, C.M.Eze, C.R.Okonkwo

Citation :

O.C.Asogwa, C.M.Eze, C.R.Okonkwo, "Modeling the Cases of Road Traffic Crashes: A Case of Exponential Smoothing Approach," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 1, pp. 46-52, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I1P508

Abstract

This study was carried out using the monthly (January 2007 to December 2017 with a total of 108 data points) reported road traffic crashes along the roads connecting the main city of Enugu State Nigeria. In this work, we gave a general overview of the three basic aspects of exponential smoothing models proposed with their applications on the cases of road traffic crashes (accident). The relationship between autoregressive integrated moving average models and exponential smoothing models was also given. Using a grid search method for the estimation of smoothing parameters, the best exponential smoothing models for each of the cases was identified based on the Mean square error (MSE), Mean absolute error (MAE) and Mean absolute percentage error (MAPE). The Holt-Winter (Triple) exponential smoothing model expounded by [1] yielded optimum value in each of the measures for each route since the series exhibit both trend and seasonality.

Keywords

Road traffic crashes, Exponential smoothing, ARIMA models

References

[1] Peter, W. R. (1960). Forecasting sales by exponentially weighted moving average. Management Science, 6. 324-342.
[2] Sumaila, A. F. (2013). Road crashes trends and safety management in Nigeria. Journal of Geography and Regional Planning, 6 (3), 53-62.
[3] Salako A. J., Adeoke, B. O & Akanmu, T. A. (2014). Time series analysis for modeling and detecting seasonality pattern of auto-crash cases recorded at Federal Road Safety Commission, Osun State. International Journal of Engineering and Advanced Technology Studies, 2 (4), 25.
[4] Atubi, A. O. (2012). Epidemiology of Injuries from Road Traffic Accidents in Lagos State, Nigeria. International Journal of Science and Technology, 1(2), 56-75.
[5] Fomby, T. B. (2008). Exponential smoothing models in tax: Department of Economics southern Methodist University Dallas.
[6] Box & Jenkins (1970). Time series analysis, Forecasting and control. Holden day, San Francisco, C.A. New York.
[7] Chatfield, C. & Yar, M. (1988). Holt-Winters forecasting: some practical issues. Journal of the Royal statistical society, 37(2), 129-140.