Abstract
Due to the rapid growth of the number of passengers over the few recent decades, air traffic forecasting has become a crucial tool for digital transportation systems, playing a fundamental role in the planning and development of traffic management and control systems. The main goal of forecasting in air transport is to predict traffic conditions in a network, on the basis of its past behavior, in order to improve safety and reduce airspace congestion. Nevertheless, air traffic time series often present an intricate behavior because of their irregular trends and strong seasonalities. In this paper, the methodology based on time series decomposition and artificial neural networks (ANNs) is thus reviewed and reconsidered within this framework of air traffic management. In this respect, a hybrid approach coupling feedforward neural networks with a nonlinear least squares-based regression curve fitting is developed for the multistep-ahead prediction. Empirical experiments are conducted in order to demonstrate the effectiveness of the proposed model on passenger traffic real datasets. The results show that, despite its simplicity, the base model is capable of generating accurate forecasts, with a performance comparable with that of powerful state-of-the-art forecasting models. In addition, there is evidence that trend pretreatment (wholly or partially) would rather degrade the forecasting accuracy.





Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Notes
In computational networks, an activation function is a smooth and symmetrically nonlinear function. The domain of outputs of a FF is governed by an activation function. An activation function is sometimes assumed an identity function.
References
Abed SY, Ba-Fail AO, Jasimuddin SM (2001) An econometric analysis of international air travel demand in Saudi Arabia. J Air Transp Manag 7(3):143–148
Alekseev KPG, Seixas JM (2009) A multivariate neural forecasting modeling for air transport—preprocessed by decomposition: a Brazilian application. J Air Transp Manag 15(5):212–216
Bao Y, Xiong T, Hu Z (2012) Forecasting air passenger traffic by support vector machines with ensemble empirical mode decomposition and slope-based method. Discrete Dyn Nat Soc 2012, 431512
Benhra J, El Hassani H, Benkachcha S (2015) Seasonal time series forecasting models based on artificial neural network. Int J Comput Appl 116(20):9–14
Blinova TO (2007) Analysis of possibility of using neural network to forecast passenger traffic flows in Russia. Aviation 11(1):28–34
Chen C-F, Chang Y-H, Chang Y-W (2009) Seasonal ARIMA forecasting of inbound air travel arrivals to Taiwan. Transportmetrica 5(2):125–140
Findley DF, Monsell BC, Bell WR, Otto MC, Chen B (1998) New capabilities and methods of the X-12-ARIMA seasonal-adjustment program. J Bus Econ Stat 16(2):127–152
Gonzalez-Romera E, Jaramillo-Moran MA, Carmona-Fernandez D (2006) Monthly electric energy demand forecasting based on trend extraction. IEEE Trans Power Syst 21(4):1946–1953
Haykin S (1999) Neural networks: a comprehensive foundation, 2nd edn. Prentice-Hall, New York
Hill T, O’Connor M, Remus W (1996) Neural network models for time series forecasts. Manag Sci 42(7):1082–1092
Hornik K (1991) Approximation capabilities of multilayer feedforward networks. Neural Netw 4(2):251–257
Huang NE, Shen Z, Long SR, Wu MC, Shih HH, Zheng Q (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis. Proc R Soc Lond Ser A 454:903–995
Ishutkina MA, Hansman RJ (2010) Analysis of interaction between air transportation and economic activity. Working Paper, Massachusetts Institute of Technology, Cambridge
Kyungdoo K, Junsub Y, Victor RP (1997) Predicting airline passenger volume. J Bus Forecast Methods Syst 16(1):14–16
Lai SL, Lu W-Li (2005) Impact analysis of September 11 on air travel demand in the USA. J Air Transp Manag 11(6):455–458
Limani Y (2016) Applied relationship between transport and economy. IFAC-PapersOnLine 49(29):123–128
Lippi M, Bertini M, Frasconi P (2013) Short-term traffic flow forecasting: an experimental comparison of time-series analysis and supervised learning. IEEE Trans Intell Transp Syst 14(2):871–882
Ming W, Bao Y, Hu Z, Xiong T (2014) Multistep-ahead air passengers traffic prediction with hybrid ARIMA-SVMs models. Sci World J 2014, 567246
Nam K, Schaefer T (1995) Forecasting international airline passenger traffic using neural networks. Logist Transp Rev 31(3):239–252
Nelson M, Hill T, Remus T, O’Connor M (1999) Time series forecasting using NNs: should the data be deseasonalized first? J Forecast 18(5):359–367
Qi M, Zhang GP (2008) Trend time-series modeling and forecasting with neural networks. IEEE Trans Neural Netw 19(5):808–816
Rabbouch H, Saâdaoui F, Mraihi R (2016) Unsupervised video summarization using cluster analysis for automatic vehicles counting and recognizing. Neurocomputing 260:157–173
Rabbouch H, Saâdaoui F, Mraihi R (2018) A vision-based statistical methodology for automatically modeling continuous urban traffic flows. Adv Eng Inform 38:392–403
Ruiz-Aguilar JJ, Turias IJ, Jiménez-Come MJ (2014) Hybrid approaches based on SARIMA and artificial neural networks for inspection time series forecasting. Transp Res Part E Logist Transp Rev 67:1–13
Saâdaoui F, Rabbouch H (2014) A wavelet-based multi-scale vector ANN model for econophysical systems prediction. Expert Syst Appl 41(13):6017–6028
Saâdaoui F (2017) A seasonal feedforward neural network to forecast the Nord Pool electricity prices. Neural Comput Appl 28(4):835–847
Saâdaoui F, Rabbouch H (2019) A wavelet-based hybrid neural network for short-term electricity prices forecasting. Artif Intell Rev 52(1):649–669
Scarpel RA (2013) Forecasting air passengers at São Paulo International Airport using a mixture of local experts model. J Air Transp Manag 26:35–39
Sun S, Lub H, Tsui K-L, Wang S (2019) Nonlinear vector auto-regression neural network for forecasting air passenger flow. J Air Transp Manag 78:54–62
Tang Z, Fishwick F (1993) Feed-forward neural nets as models for time series forecasting. ORSA J Comput 5(4):374–386
Tsui WHK, Balli HO, Gilbey A, Gow H (2014) Forecasting of Hong Kong airport’s passenger throughput. Tour Manag 42:62–76
Wang C, Zheng X, Wang L (2017) Research on nonlinear characteristics of air traffic flows on converging air routes. J Southwest Jiaotong Univ 52(1):171–178
Walczak S (2001) An empirical analysis of data requirements for financial forecasting with neural networks. J Manag Inf Syst 17(4):203–222
Wangermann JP, Stengel RF (1998) Principled negotiation between intelligent agents: a model for air traffic management. Artif Intell Eng 12:177–187
Xiao Y, Liu JJ, Hu Y, Wang Y, Lai KK, Wang S (2014) A neuro-fuzzy combination model based on singular spectrum analysis for air transport demand forecasting. J Air Transp Manag 39:1–11
Xie G, Wang S, Lai KK (2014) Short-term forecasting of air passenger by using hybrid seasonal decomposition and least squares support vector regression approaches. J Air Transp Manag 37:20–26
Zhang GP, Qi M (2005) Neural network forecasting for seasonal and trend time series. Eur J Oper Res 160(2):501–514
Züfle M, Bauer A, Herbs N, Curtef V, Kounev S (2017) Telescope: a hybrid forecast method for univariate time series. In: Proceedings of the 2017 international work-conference on time series, ITISE 2017, Granada, Spain
Acknowledgements
This work was supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (DF-289-130-1441). The authors, therefore, gratefully acknowledge DSR technical and financial support.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
We declare that we are not and shall not be in any situation which could give rise to a conflict of interest in what concerns the publication of this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Saâdaoui, F., Saadaoui, H. & Rabbouch, H. Hybrid feedforward ANN with NLS-based regression curve fitting for US air traffic forecasting. Neural Comput & Applic 32, 10073–10085 (2020). https://doi.org/10.1007/s00521-019-04539-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-019-04539-5