The NARX developed in this study resulted in a promising result since it employed near optimal parameters including number of input-output delays, node numbers, and parsimonious variables. The parsimonious variables showed the positive effect in boosting the network's learning process. Meanwhile, since there is no specific method to identify an exact optimal number of nodes for the network, the procedure used in study may be applied in determining a satisfying node number.
33
The model’s improvement reflects a better performance for the company’s production.
Approaching higher accuracy in forecasting the actual demand placed by the main contractor of the automotive industry aims to relieve uncertainty in managing inventory. Efficient inventory management mainly affects the dilemma of profitable supply chain management which is whether to keep low inventory level in order to keep the cost under control or high inventory level in order to assure the availability of products for actual demand. The supplier tends to eliminate waste and unnecessary processes to minimize safety stock which costs in maintenance and expiration of the individual product, while the high inventory level can guarantee to satisfy the order. So, the significant loss will be used to address the decision by stabilizing the inventory level. Furthermore, the forecasting also impacts the dilemma of the supply chain system in positioning factories and warehouses. An optimal distance between the first-tier supplier’s upstream suppliers and the main contractor can be confidently considered with a known demand of individual raw material. The precise distance strongly contributes to a profitable production planning by providing particular capacity preparation for human resource management and commodity for product categorizing in procurement.
Since the model was built based on a specific dataset in the certain scenario of a first- tier supplier, adapting this study result in other companies, parameters will be required to alter based on the various complexity and characteristics of the respective dataset. As the availability of data depends on shared information between the company and partner, different methods will be applied. For further study, other approaches such as deep learning and hybrid models can be applied to study alternative insight and performance.
34
REFERENCES
Akarslan, E., & Hocaoglu, F. O. (2018, March). Electricity demand forecasting of a micro grid using ANN. In 2018 9th International Renewable Energy Congress (IREC) (pp. 1- 5). IEEE.
Aliyeva, K. (2017). Demand forecasting for manufacturing under Z- Information. Procedia computer science, 120, 509-514.
Al-Saba, T., & El-Amin, I. (1999). Artificial neural networks as applied to long-term demand forecasting. Artificial Intelligence in Engineering, 13(2), 189-197.
Alsumaiei, A. A. (2020). A Nonlinear Autoregressive Modeling Approach for Forecasting Groundwater Level Fluctuation in Urban Aquifers. Water, 12(3), 820.
Anctil, F., Perrin, C., & Andréassian, V. (2004). Impact of the length of observed records on the performance of ANN and of conceptual parsimonious rainfall-runoff forecasting models. Environmental Modelling & Software, 19(4), 357-368.
Ariyo, A. A., Adewumi, A. O., & Ayo, C. K. (2014, March). Stock price prediction using the ARIMA model. In 2014 UKSim-AMSS 16th International Conference on Computer Modelling and Simulation (pp. 106-112). IEEE.
Babai, M. Z., Ali, M. M., Boylan, J. E., & Syntetos, A. A. (2013). Forecasting and inventory performance in a two-stage supply chain with ARIMA (0, 1, 1) demand: Theory and empirical analysis. International Journal of Production Economics, 143(2), 463-471.
Barlas, Y., & Gunduz, B. (2011). Demand forecasting and sharing strategies to reduce fluctuations and the bullwhip effect in supply chains. Journal of the Operational Research Society, 62(3), 458-473.
Bata, M. T. H., Carriveau, R., & Ting, D. S. K. (2020). Short-term water demand forecasting using nonlinear autoregressive artificial neural networks. Journal of Water Resources Planning and Management, 146(3), 04020008.
Bennett, C., Stewart, R. A., & Beal, C. D. (2013). ANN-based residential water end- use demand forecasting model. Expert systems with applications, 40(4), 1014-1023.
35
Boussaada, Z., Curea, O., Remaci, A., Camblong, H., & Mrabet Bellaaj, N. (2018). A nonlinear autoregressive exogenous (NARX) neural network model for the prediction of the daily direct solar radiation. Energies, 11(3), 620.
Box, G. E., Jenkins, G. M., & Reinsel, G. C. (1994). Time series analysis: Forecasting and control. 3rd Prentice Hall. Englewood Cliffs NJ.
Box, G. E., Jenkins, G. M., Reinsel, G. C., & Ljung, G. M. (2015). Time series analysis:
forecasting and control. John Wiley & Sons.
Cadenas, E., Rivera, W., Campos-Amezcua, R., & Cadenas, R. (2016). Wind speed forecasting using the NARX model, case: La Mata, Oaxaca, México. Neural Computing and Applications, 27(8), 2417-2428.
Cadenas, E., Rivera, W., Campos-Amezcua, R., & Heard, C. (2016). Wind speed prediction using a univariate ARIMA model and a multivariate NARX model. Energies, 9(2), 109.
Design Time Series NARX Feedback Neural Networks - MATLAB & Simulink.
(2019). The MathWorks,Inc. Retrieved 2020,
https://www.mathworks.com/help/releases/R2019b/deeplearning/ug/design-time-series-narx- feedback-neural-networks.html
Design Time Series NARX Feedback Neural Networks - MATLAB & Simulink.
(n.d.). The MathWorks, Inc. Retrieved 2020, from
https://www.mathworks.com/help/deeplearning/ug/design-time-series-narx-feedback-neural- networks.html
Dorsey, R., & Sexton, R. (1998). The use of parsimonious neural networks for forecasting financial time series. Journal of Computational Intelligence in Finance, 6(1), 24- 31.
Fattah, J., Ezzine, L., Aman, Z., El Moussami, H., & Lachhab, A. (2018). Forecasting of demand using ARIMA model. International Journal of Engineering Business Management, 10, 1847979018808673.
Fourcade, F., & Midler, C. (2005). The role of first-tier suppliers in automobile product modularisation: the search for a coherent strategy. International Journal of Automotive Technology and Management, 5(2), 146-165.
36
Grimm, J. H., Hofstetter, J. S., & Sarkis, J. (2014). Critical factors for sub-supplier management: A sustainable food supply chains perspective. International Journal of Production Economics, 152, 159-173.
Hsu, K. L., Gupta, H. V., & Sorooshian, S. (1995). Artificial neural network modeling of the rainfall‐runoff process. Water resources research, 31(10), 2517-2530.
Hyndman, R. J., & Athanasopoulos, G. (2018). Forecasting: principles and practice.
OTexts.
Junior, O. C., Reche, A. Y. U., & Estorilio, C. C. A. (2018). How Can Green Supply Chain Management Contribute to the Product Development Process. Adv. Transdiscipl.
Eng, 7, 1175-1183.
Kaiser, M. (1994). Time-delay neural networks for control. IFAC Proceedings Volumes, 27(14), 967-972.
Kalogirou, S. A. (2013). Solar energy engineering: processes and systems. Academic Press.
Kochak, A., & Sharma, S. (2015). Demand forecasting using neural network for supply chain management. International journal of mechanical engineering and robotics research, 4(1), 96-104.
Kochak, A., & Sharma, S. (2015). Demand forecasting using neural network for supply chain management. International journal of mechanical engineering and robotics research, 4(1), 96-104.
Kumar, P., Herbert, M., & Rao, S. (2014). Demand forecasting using artificial neural network based on different learning methods: Comparative analysis. International journal for research in applied science and engineering technology, 2(4), 364-374.
Larsen, J., Hansen, L. K., Svarer, C., & Ohlsson, M.(1996, September). Design and regularization of neural networks: the optimal use of a validation set. In Neural Networks for Signal Processing VI. Proceedings of the 1996 IEEE Signal Processing Society Workshop (pp.
62-71). IEEE.
Lee, H. L., Padmanabhan, V., & Whang, S. (1997). The bullwhip effect in supply chains. Sloan management review, 38, 93-102.
37
Lourakis, M. I. (2005). A brief description of the Levenberg-Marquardt algorithm implemented by levmar. Foundation of Research and Technology, 4(1), 1-6.
Martinsson, T., & Sjöqvist, E. (2019). Causes and Effects of Poor Demand Forecast Accuracy A Case Study in the Swedish Automotive Industry (Master's thesis).
Nasseri, M., Asghari, K., & Abedini, M. J. (2008). Optimized scenario for rainfall forecasting using genetic algorithm coupled with artificial neural network. Expert systems with applications, 35(3), 1415-1421.
Pisoni, E., Farina, M., Carnevale, C., & Piroddi, L. (2009). Forecasting peak air pollution levels using NARX models. Engineering Applications of Artificial Intelligence, 22(4- 5), 593-602.
Primasiwi, C., Sarno, R., Sungkono, K. R., & Wahyuni, C. S. (2019, July). Stock Composite Prediction using Nonlinear Autoregression with Exogenous Input (NARX). In 2019 12th International Conference on Information & Communication Technology and System (ICTS) (pp. 43-48). IEEE.
Rabe, M., Jäkel, F. W., & Weinaug, H. (2006). Supply Chair Demonstrator Based on Federated Models and HLA Application. In SimVis (pp. 329-338).
Rivera-Castro, R., Nazarov, I., Xiang, Y., Pletneev, A., Maksimov, I., & Burnaev, E.
(2019, July). Demand forecasting techniques for build-to-order lean manufacturing supply chains. In International Symposium on Neural Networks (pp. 213-222). Springer, Cham.
Ruslan, F. A., Zain, Z. M., & Adnan, R. (2014, March). Flood water level modeling and prediction using NARX neural network: Case study at Kelang river. In 2014 IEEE 10th International Colloquium on Signal Processing and its Applications (pp. 204-207). IEEE.
Sen, P., Roy, M., & Pal, P. (2016). Application of ARIMA for forecasting energy consumption and GHG emission: A case study of an Indian pig iron manufacturing organization. Energy, 116, 1031-1038.
Shallow Networks for Pattern Recognition, Clustering and Time Series - MATLAB &
Simulink. (2019). The MathWorks, Inc.
https://www.mathworks.com/help/releases/R2019b/deeplearning/gs/shallow-networks-for- pattern-recognition-clustering-and-time-series.html
38
Sheikh, S. K., & Unde, M. G. (2012). Short term load forecasting using ann technique.
International Journal of Engineering Sciences & Emerging Technologies, 1(2), 97-107.
Siregar, B., Nababan, E. B., Yap, A., & Andayani, U. (2017, October). Forecasting of raw material needed for plastic products based in income data using ARIMA method. In 2017 5th International Conference on Electrical, Electronics and Information Engineering (ICEEIE) (pp. 135-139). IEEE.
Sun, S., Lu, H., Tsui, K. L., & Wang, S. (2019). Nonlinear vector auto-regression neural network for forecasting air passenger flow. Journal of Air Transport Management, 78, 54-62.
Taqvi, S. A., Tufa, L. D., Zabiri, H., Maulud, A. S., & Uddin, F. (2020). Fault detection in distillation column using NARX neural network. Neural Computing and Applications, 32(8), 3503-3519.
Tetin, S. (2012). Fluorescence Fluctuation Spectroscopy (FFS) Part B. Academic Press.
Tu, J. V. (1996). Advantages and disadvantages of using artificial neural networks versus logistic regression for predicting medical outcomes. Journal of clinical epidemiology, 49(11), 1225-1231.
Udom, P., & Phumchusri, N. (2014). A comparison study between time series model and ARIMA model for sale forecasting of distributor in plastic industry. IOSR Journal of Engineering, 4(2), 32-38.
Vargas, C. A., & Cortés, M. E. (2017). Automobile spare-parts forecasting: A comparative study of time series methods. International Journal of Automotive & Mechanical Engineering, 14(1).
Wilhelm, M. M., Blome, C., Bhakoo, V., & Paulraj, A. (2016). Sustainability in multi- tier supply chains: Understanding the double agency role of the first-tier supplier. Journal of Operations Management, 41, 42-60.
Xu, Y., & Goodacre, R. (2018). On splitting training and validation set: A comparative study of cross-validation, bootstrap and systematic sampling for estimating the generalization performance of supervised learning. Journal of Analysis and Testing, 2(3), 249-262.
Yılmaz, A. C., Aci, C. I., & Aydin, K. (2015). MFFNN and GRNN Models for Prediction of Energy Equivalent Speed Values of Involvements in Traffic Accidents/Trafik Kazalarında tutulumunun Enerji Eşdeğer Hız Değerleri Tahmininde MFFNN ve GRNN