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Erschienen in: Quality & Quantity 1/2021

18.06.2020

Developing grey prediction with Fourier series using genetic algorithms for tourism demand forecasting

verfasst von: Yi-Chung Hu

Erschienen in: Quality & Quantity | Ausgabe 1/2021

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Abstract

Predicting the number of foreign tourists is significant for governments in devising development policies for tourism demand. Time series related to tourism often feature significant temporal fluctuation. Therefore, grey prediction in conjunction with the Fourier series for oscillating sequences is appropriate to foreign tourists forecasting. Grey prediction traditionally uses the ordinary least squares (OLS) to derive relevant parameters. However, as the conformance to statistical assumption is not guaranteed, estimators derived by using OLS may not be reliable. This study proposes an OLS-free grey model with the Fourier series by using soft computing techniques to determine the optimal parameters to maximize prediction accuracy. The experimental results demonstrate that the proposed grey prediction model performs well compared with other prediction models considered.

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Literatur
Zurück zum Zitat Askari, M., Fetanat, A.: Long-term forecasting in power system: grey system prediction-based models. J. Appl. Sci. 11(16), 3034–3038 (2011) Askari, M., Fetanat, A.: Long-term forecasting in power system: grey system prediction-based models. J. Appl. Sci. 11(16), 3034–3038 (2011)
Zurück zum Zitat Chang, C.J., Yu, L., Jin, P.: A mega-trend-diffusion grey forecasting model for short-term manufacturing demand. J. Oper. Res. Soc. 67(12), 1439–1445 (2016) Chang, C.J., Yu, L., Jin, P.: A mega-trend-diffusion grey forecasting model for short-term manufacturing demand. J. Oper. Res. Soc. 67(12), 1439–1445 (2016)
Zurück zum Zitat Chen, C.I.: Application of the novel nonlinear grey Bernoulli model for forecasting unemployment rate. Chaos Solitons Fractals 37(1), 278–287 (2008) Chen, C.I.: Application of the novel nonlinear grey Bernoulli model for forecasting unemployment rate. Chaos Solitons Fractals 37(1), 278–287 (2008)
Zurück zum Zitat Chen, C.I., Chen, H.L., Chen, S.P.: Forecasting of foreign exchange rates of Taiwan’s major trading partners by novel nonlinear grey Bernoulli model NGBM(1,1). Commun. Nonlinear Sci. Numer. Simul. 13(6), 1194–1204 (2008) Chen, C.I., Chen, H.L., Chen, S.P.: Forecasting of foreign exchange rates of Taiwan’s major trading partners by novel nonlinear grey Bernoulli model NGBM(1,1). Commun. Nonlinear Sci. Numer. Simul. 13(6), 1194–1204 (2008)
Zurück zum Zitat Demšar, J.: Statistical comparisons of classifiers over multiple data sets. J. Mach. Learn. Res. 7, 1–30 (2006) Demšar, J.: Statistical comparisons of classifiers over multiple data sets. J. Mach. Learn. Res. 7, 1–30 (2006)
Zurück zum Zitat Ene, S., Öztürk, N.: Grey modelling based forecasting system for return flow of end-of-life vehicles. Technol. Forecast. Soc. Change 115, 155–166 (2017) Ene, S., Öztürk, N.: Grey modelling based forecasting system for return flow of end-of-life vehicles. Technol. Forecast. Soc. Change 115, 155–166 (2017)
Zurück zum Zitat Feng, S.J., Ma, Y.D., Song, Z.L., Ying, J.: Forecasting the energy consumption of China by the grey prediction model. Energy Sources Part B 7, 376–389 (2012) Feng, S.J., Ma, Y.D., Song, Z.L., Ying, J.: Forecasting the energy consumption of China by the grey prediction model. Energy Sources Part B 7, 376–389 (2012)
Zurück zum Zitat Friedman, M.: A comparison of alternative tests of significance for the problem of m rankings. Ann. Math. Stat. 11, 86–92 (1940) Friedman, M.: A comparison of alternative tests of significance for the problem of m rankings. Ann. Math. Stat. 11, 86–92 (1940)
Zurück zum Zitat Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989) Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989)
Zurück zum Zitat Habibi, F., Rahim, K.A., Ramchandran, S., Chin, L.: Dynamic model for international tourism demand for Malaysia: panel data evidence. Int. Res. J. Finance Econ. 33, 207–217 (2009) Habibi, F., Rahim, K.A., Ramchandran, S., Chin, L.: Dynamic model for international tourism demand for Malaysia: panel data evidence. Int. Res. J. Finance Econ. 33, 207–217 (2009)
Zurück zum Zitat Hsu, L.C.: A genetic algorithm based nonlinear grey Bernoulli model for output forecasting in integrated circuit industry. Expert Syst. Appl. 37(6), 4318–4323 (2010) Hsu, L.C.: A genetic algorithm based nonlinear grey Bernoulli model for output forecasting in integrated circuit industry. Expert Syst. Appl. 37(6), 4318–4323 (2010)
Zurück zum Zitat Hsu, Y.T., Liu, M.C., Yeh, J., Hung, H.F.: Forecasting the turning time of stock market based on Markov–Fourier grey model. Expert Syst. Appl. 36(4), 8597–8603 (2009) Hsu, Y.T., Liu, M.C., Yeh, J., Hung, H.F.: Forecasting the turning time of stock market based on Markov–Fourier grey model. Expert Syst. Appl. 36(4), 8597–8603 (2009)
Zurück zum Zitat Hu, Y.C.: Functional-link nets with genetic-algorithm-based learning for robust nonlinear interval regression analysis. Neurocomputing 72(7-9), 1808–1816 (2009) Hu, Y.C.: Functional-link nets with genetic-algorithm-based learning for robust nonlinear interval regression analysis. Neurocomputing 72(7-9), 1808–1816 (2009)
Zurück zum Zitat Hu, Y.C.: Nonadditive similarity-based single-layer perceptron for multi-criteria collaborative filtering. Neurocomputing 129, 306–314 (2014) Hu, Y.C.: Nonadditive similarity-based single-layer perceptron for multi-criteria collaborative filtering. Neurocomputing 129, 306–314 (2014)
Zurück zum Zitat Hu, Y.C.: Electricity consumption forecasting using a neural-network-based grey prediction approach. J. Oper. Res. Soc. 68(10), 1259–1264 (2017a) Hu, Y.C.: Electricity consumption forecasting using a neural-network-based grey prediction approach. J. Oper. Res. Soc. 68(10), 1259–1264 (2017a)
Zurück zum Zitat Hu, Y.C.: Grey prediction with residual modification using functional-link net and its application to energy demand forecasting. Kybernetes 46(2), 349–363 (2017b) Hu, Y.C.: Grey prediction with residual modification using functional-link net and its application to energy demand forecasting. Kybernetes 46(2), 349–363 (2017b)
Zurück zum Zitat Hu, Y.C., Jiang, P.: Forecasting energy demand using neural-network-based grey residual modification models. J. Oper. Res. Soc. 68(5), 556–565 (2017) Hu, Y.C., Jiang, P.: Forecasting energy demand using neural-network-based grey residual modification models. J. Oper. Res. Soc. 68(5), 556–565 (2017)
Zurück zum Zitat Huang, Y.L., Lee, Y.H.: Accurately forecasting model for the stochastic volatility data in tourism demand. Mod. Econ. 2(5), 823–829 (2011) Huang, Y.L., Lee, Y.H.: Accurately forecasting model for the stochastic volatility data in tourism demand. Mod. Econ. 2(5), 823–829 (2011)
Zurück zum Zitat Iman, R.L., Davenport, J.M.: Approximations of the critical region of the Friedman statistic. Commun. Stat. 9(6), 571–595 (1980) Iman, R.L., Davenport, J.M.: Approximations of the critical region of the Friedman statistic. Commun. Stat. 9(6), 571–595 (1980)
Zurück zum Zitat Ishibuchi, H., Nakashima, T., Nii, M.: Classification and modeling with linguistic information granules: advanced approaches to linguistic data mining. Springer, Heidelberg (2004) Ishibuchi, H., Nakashima, T., Nii, M.: Classification and modeling with linguistic information granules: advanced approaches to linguistic data mining. Springer, Heidelberg (2004)
Zurück zum Zitat Jang, J.S.R., Sun, C.T., Mizutani, E.: Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence. Prentice-Hall, Englewood Cliffs (1997) Jang, J.S.R., Sun, C.T., Mizutani, E.: Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence. Prentice-Hall, Englewood Cliffs (1997)
Zurück zum Zitat Lee, S.C., Shih, L.H.: Forecasting of electricity costs based on an enhanced gray-based learning model: a case study of renewable energy in Taiwan. Technol. Forecast. Soc. Change 78, 1242–1253 (2011) Lee, S.C., Shih, L.H.: Forecasting of electricity costs based on an enhanced gray-based learning model: a case study of renewable energy in Taiwan. Technol. Forecast. Soc. Change 78, 1242–1253 (2011)
Zurück zum Zitat Lee, Y.S., Tong, L.I.: Forecasting energy consumption using a grey model improved by incorporating genetic programming. Energy Convers. Manag. 52, 147–152 (2011) Lee, Y.S., Tong, L.I.: Forecasting energy consumption using a grey model improved by incorporating genetic programming. Energy Convers. Manag. 52, 147–152 (2011)
Zurück zum Zitat Li, D.C., Chang, C.J., Chen, C.C., Chen, W.C.: Forecasting short-term electricity consumption using the adaptive grey-based approach—an Asian case. Omega 40, 767–773 (2012) Li, D.C., Chang, C.J., Chen, C.C., Chen, W.C.: Forecasting short-term electricity consumption using the adaptive grey-based approach—an Asian case. Omega 40, 767–773 (2012)
Zurück zum Zitat Lin, C.J., Chen, H.F., Lee, T.S.: Forecasting tourism demand using time series, artificial neural networks and multivariate adaptive regression splines: evidence from Taiwan. Int. J. Bus. Adm. 2(2), 14–24 (2011) Lin, C.J., Chen, H.F., Lee, T.S.: Forecasting tourism demand using time series, artificial neural networks and multivariate adaptive regression splines: evidence from Taiwan. Int. J. Bus. Adm. 2(2), 14–24 (2011)
Zurück zum Zitat Liu, S., Lin, Y.: Grey information: theory and practical applications. Springer, Berlin (2010) Liu, S., Lin, Y.: Grey information: theory and practical applications. Springer, Berlin (2010)
Zurück zum Zitat Liu, S., Yang, Y., Forrest, J.: Grey data analysis: methods, models and applications. Springer, Berlin (2017) Liu, S., Yang, Y., Forrest, J.: Grey data analysis: methods, models and applications. Springer, Berlin (2017)
Zurück zum Zitat Lu, J., Xie, W., Zhou, H., Zhang, A.: An optimized nonlinear grey Bernoulli model and its applications. Neurocomputing 177, 206–214 (2016) Lu, J., Xie, W., Zhou, H., Zhang, A.: An optimized nonlinear grey Bernoulli model and its applications. Neurocomputing 177, 206–214 (2016)
Zurück zum Zitat Makridakis, S.: Accuracy measures: theoretical and practical concerns. Int. J. Forecast. 9(4), 527–529 (1993) Makridakis, S.: Accuracy measures: theoretical and practical concerns. Int. J. Forecast. 9(4), 527–529 (1993)
Zurück zum Zitat Mao, M.Z., Chirwa, E.C.: Application of grey model GM(1,1) to vehicle fatality risk estimation. Technol. Forecast. Soc. Change 73, 588–605 (2006) Mao, M.Z., Chirwa, E.C.: Application of grey model GM(1,1) to vehicle fatality risk estimation. Technol. Forecast. Soc. Change 73, 588–605 (2006)
Zurück zum Zitat Murata, T., Ishibuchi, H., Tanaka, H.: Multi-objective genetic algorithm and its applications to flowshop scheduling. Comput. Ind. Eng. 30(4), 957–968 (1996) Murata, T., Ishibuchi, H., Tanaka, H.: Multi-objective genetic algorithm and its applications to flowshop scheduling. Comput. Ind. Eng. 30(4), 957–968 (1996)
Zurück zum Zitat Nguyen, T.L., Huang, J.C., Chiu, C.C., Shu, M.H., Tsai, W.R.: Forecasting model for the international tourism demand in Taiwan. In: Proceedings of 2013 International Conference on Technology Innovation and Industrial Management, Phuket, Thailand, pp. 61–70 (S5) (2013) Nguyen, T.L., Huang, J.C., Chiu, C.C., Shu, M.H., Tsai, W.R.: Forecasting model for the international tourism demand in Taiwan. In: Proceedings of 2013 International Conference on Technology Innovation and Industrial Management, Phuket, Thailand, pp. 61–70 (S5) (2013)
Zurück zum Zitat Osyczka, A.: Evolutionary algorithms for single and multicriteria design optimization. Physica-Verlag, Heidelberg (2003) Osyczka, A.: Evolutionary algorithms for single and multicriteria design optimization. Physica-Verlag, Heidelberg (2003)
Zurück zum Zitat Ouerfelli, C.: Co-integration analysis of quarterly European tourism demand in Tunisia. Tour. Manag. 29, 127–137 (2008) Ouerfelli, C.: Co-integration analysis of quarterly European tourism demand in Tunisia. Tour. Manag. 29, 127–137 (2008)
Zurück zum Zitat Pao, Y.H.: Adaptive pattern recognition and neural networks. Addison-Wesley, Reading (1989) Pao, Y.H.: Adaptive pattern recognition and neural networks. Addison-Wesley, Reading (1989)
Zurück zum Zitat Pao, Y.H.: Functional-link net computing: theory, system architecture, and functionalities. Computer 25(5), 76–79 (1992) Pao, Y.H.: Functional-link net computing: theory, system architecture, and functionalities. Computer 25(5), 76–79 (1992)
Zurück zum Zitat Pao, H.T., Fu, H.C., Tseng, C.L.: Forecasting of CO2 emissions, energy consumption and economic growth in China using an improved grey model. Energy 40(1), 400–409 (2012) Pao, H.T., Fu, H.C., Tseng, C.L.: Forecasting of CO2 emissions, energy consumption and economic growth in China using an improved grey model. Energy 40(1), 400–409 (2012)
Zurück zum Zitat Park, G.H., Pao, Y.H.: Unconstrained word-based approach for off-line script recognition using density-based random-vector functional-link net. Neurocomputing 31(1–4), 45–65 (2000) Park, G.H., Pao, Y.H.: Unconstrained word-based approach for off-line script recognition using density-based random-vector functional-link net. Neurocomputing 31(1–4), 45–65 (2000)
Zurück zum Zitat Song, H., Li, G.: Tourism demand modelling and forecasting: a review of recent research. Tour. Manag. 29(2), 203–220 (2008) Song, H., Li, G.: Tourism demand modelling and forecasting: a review of recent research. Tour. Manag. 29(2), 203–220 (2008)
Zurück zum Zitat Suganthi, L., Samuel, A.A.: Energy models for demand forecasting—a review. Renew. Sustain. Energy Rev. 16, 1223–1240 (2012) Suganthi, L., Samuel, A.A.: Energy models for demand forecasting—a review. Renew. Sustain. Energy Rev. 16, 1223–1240 (2012)
Zurück zum Zitat Sun, X., Sun, W., Wang, J., Gao, Y.: Using a Grey–Markov model optimized by Cuckoo search algorithm to forecast the annual foreign tourist arrivals to China. Tour. Manag. 52, 369–379 (2016) Sun, X., Sun, W., Wang, J., Gao, Y.: Using a Grey–Markov model optimized by Cuckoo search algorithm to forecast the annual foreign tourist arrivals to China. Tour. Manag. 52, 369–379 (2016)
Zurück zum Zitat Tsaur, R.C., Liao, Y.C.: Forecasting LCD TV demand using the fuzzy grey model GM(1,1). Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 15, 753–767 (2007) Tsaur, R.C., Liao, Y.C.: Forecasting LCD TV demand using the fuzzy grey model GM(1,1). Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 15, 753–767 (2007)
Zurück zum Zitat Wang, Z.X.: Grey forecasting method for small sample oscillating sequences based on Fourier series. Control Decis. 29(2), 270–274 (2014) Wang, Z.X.: Grey forecasting method for small sample oscillating sequences based on Fourier series. Control Decis. 29(2), 270–274 (2014)
Zurück zum Zitat Wang, Z.Z., Dang, Y.G., Liu, S.F., Zhao, J.J.: Solution of GM (1, 1) power model and its properties. Syst. Eng. Electron. 31(10), 2380–2383 (2009) Wang, Z.Z., Dang, Y.G., Liu, S.F., Zhao, J.J.: Solution of GM (1, 1) power model and its properties. Syst. Eng. Electron. 31(10), 2380–2383 (2009)
Zurück zum Zitat Wang, Z.X., Hao, P.: An improved grey multivariable model for predicting industrial energy consumption in China. Appl. Math. Model. 40(11-12), 5745–5758 (2016) Wang, Z.X., Hao, P.: An improved grey multivariable model for predicting industrial energy consumption in China. Appl. Math. Model. 40(11-12), 5745–5758 (2016)
Zurück zum Zitat Wang, Z.X., Hipel, K.W., Wang, Q., He, S.W.: An optimized NGBM(1,1) model for forecasting the qualified discharge rate of industrial wastewater in China. Appl. Math. Model. 35(12), 5524–5532 (2011) Wang, Z.X., Hipel, K.W., Wang, Q., He, S.W.: An optimized NGBM(1,1) model for forecasting the qualified discharge rate of industrial wastewater in China. Appl. Math. Model. 35(12), 5524–5532 (2011)
Zurück zum Zitat Wang, C.N., Phan, V.T.: An improved nonlinear grey Bernoulli model combined with Fourier series. Math. Probl. Eng. Vol. 2015, Article ID 740272 (2015) Wang, C.N., Phan, V.T.: An improved nonlinear grey Bernoulli model combined with Fourier series. Math. Probl. Eng. Vol. 2015, Article ID 740272 (2015)
Zurück zum Zitat Wei, J., Zhou, L., Wang, F., Wu, D.: Work safety evaluation in Mainland China using grey theory. Appl. Math. Model. 39(2), 924–933 (2015) Wei, J., Zhou, L., Wang, F., Wu, D.: Work safety evaluation in Mainland China using grey theory. Appl. Math. Model. 39(2), 924–933 (2015)
Zurück zum Zitat Wen, K.L.: Grey systems modeling and prediction. Yang’s Scientific Research Institute, Tucson (2004) Wen, K.L.: Grey systems modeling and prediction. Yang’s Scientific Research Institute, Tucson (2004)
Zurück zum Zitat Wu, D.C., Song, H., Shen, S.: New developments in tourism and hotel demand modeling and forecasting. Int. J. Contemp. Hosp. Manag. 29(1), 507–529 (2017) Wu, D.C., Song, H., Shen, S.: New developments in tourism and hotel demand modeling and forecasting. Int. J. Contemp. Hosp. Manag. 29(1), 507–529 (2017)
Zurück zum Zitat Yang, Y.N.: Financial econometric with Gretl. Compass Publishing, Taipei (2010) Yang, Y.N.: Financial econometric with Gretl. Compass Publishing, Taipei (2010)
Zurück zum Zitat Zhou, J., Fang, R., Li, Y., Zhang, Y., Peng, B.: Parameter optimization of nonlinear grey Bernoulli model using particle swarm optimization. Appl. Math. Comput. 207(2), 292–299 (2009) Zhou, J., Fang, R., Li, Y., Zhang, Y., Peng, B.: Parameter optimization of nonlinear grey Bernoulli model using particle swarm optimization. Appl. Math. Comput. 207(2), 292–299 (2009)
Metadaten
Titel
Developing grey prediction with Fourier series using genetic algorithms for tourism demand forecasting
verfasst von
Yi-Chung Hu
Publikationsdatum
18.06.2020
Verlag
Springer Netherlands
Erschienen in
Quality & Quantity / Ausgabe 1/2021
Print ISSN: 0033-5177
Elektronische ISSN: 1573-7845
DOI
https://doi.org/10.1007/s11135-020-01006-5

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