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Forecasting of e-commerce transaction volume using a hybrid of extreme learning machine and improved moth-flame optimization algorithm

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Abstract

The rapid development of e-commerce has resulted in optimization of the industrial structure of Chinese enterprises and has improved the Chinese economy. E-commerce transaction volume is an evaluation index used to determine the development level of e-commerce. This study proposed a model for forecasting e-commerce transaction volume. First, a hybrid moth–flame optimization algorithm (HMFO) was proposed. The convergence ability of the HMFO algorithm was analyzed on the basis of test functions. Second, using data provided by the China Internet Network Information Center, factors influencing e-commerce transaction volume were analyzed. The input variables of the e-commerce transaction volume prediction model were selected by analyzing correlation coefficients. Finally, a hybrid extreme learning machine and hybrid-strategy-based HMFO (ELM-HMFO) method was proposed to predict the volume of e-commerce transactions. The prediction results revealed that the root mean square error of the proposed ELM-HMFO model was smaller than 0.5, and the determination coefficient was 0.99, which indicated that the forecast e-commerce transaction volume was satisfactory. The proposed ELM-HMFO model can promote the industrial upgrading and development of e-commerce in China.

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References

  1. Chen LF (2019) Green certification, e-commerce, and low-carbon economy for international tourist hotels. Environ Sci Pollut Res 26(18):17965–17973

    Google Scholar 

  2. Geng, RB; Wang, SC; Chen, X; Song, DY; Yu, J (2020). Content marketing in e-commerce platforms in the internet celebrity economy. Ind Manag Data Syst, 22

  3. Yang, ZZ; Yu, S; Lian, F (2020). Online shopping versus in-store shopping and its implications for urbanization in China: based on the shopping behaviors of students relocated to a remote campus. Environ Dev Sustain, 21

  4. Wang XT, Wang H (2019) A study on sustaining corporate innovation with E-commerce in China. Sustainability. 11(23):16

    Google Scholar 

  5. Khouja M, Liu X (2020) A Retailer's decision to join a promotional event of an E-commerce platform. Int J Electron Commer 24(2):184–210

    Google Scholar 

  6. Cao LL (2014) Business model transformation in moving to a Cross-Channel retail strategy: a case study. Int J Electron Commer 18(4):69–95

    Google Scholar 

  7. Ji SW, Wang XJ, Zhao WP, Guo D (2019) An application of a three-stage XGBoost-based model to sales forecasting of a cross-border E-commerce Enterprise. Math Probl Eng 2019:15

    Google Scholar 

  8. Chang PC, Liu CH, Fan CY (2009) Data clustering and fuzzy neural network for sales forecasting: A case study in printed circuit board industry. k 22(5):344–355

    Google Scholar 

  9. Chen IF, Lu CJ (2017) Sales forecasting by combining clustering and machine-learning techniques for computer retailing. Neural Comput Applic 28(9):2633–2647

    Google Scholar 

  10. Di Pillo G, Latorre V, Lucidi S, Procacci E (2016) An application of support vector machines to sales forecasting under promotions. 4or-a Quarterly Journal of Oper Res 14(3):309–325

    MathSciNet  MATH  Google Scholar 

  11. Zhang YZ (2019) Application of improved BP neural network based on e-commerce supply chain network data in the forecast of aquatic product export volume. Cogn Syst Res 57:228–235

    Google Scholar 

  12. Li, MB; Ji, SW; Liu, G (2018). Forecasting of Chinese E-commerce sales: an empirical comparison of ARIMA, nonlinear autoregressive neural network, and a combined ARIMA-NARNN model. Math Probl Eng, 12

  13. Coello CAC, Pulido GT, Lechuga MS (2004) Handling multiple objectives with particle swarm optimization. IEEE Trans Evol Comput 8(3):256–279

    Google Scholar 

  14. Das S, Suganthan PN (2011) Differential evolution: a survey of the state-of-the-art. IEEE Trans Evol Comput 15(1):4–31

    Google Scholar 

  15. Jones G, Willett P, Glen RC, Leach AR, Taylor R (1997) Development and validation of a genetic algorithm for flexible docking. J Mol Biol 267(3):727–748

    Google Scholar 

  16. Dorigo M, Blum C (2005) Ant colony optimization theory: a survey. Theor Comput Sci 344(2–3):243–278

    MathSciNet  MATH  Google Scholar 

  17. Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61

    Google Scholar 

  18. Mirjalili S, Lewis A (2016) The whale optimization algorithm. Adv Eng Softw 95:51–67

    Google Scholar 

  19. Gandomi AH, Yang XS, Alavi AH (2013) Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems. Eng Comput 29(1):17–35

    Google Scholar 

  20. Abd El Aziz M, Eweesc AA, Hassanien AE (2017) Whale Optimization Algorithm and Moth-Flame Optimization for multilevel thresholding image segmentation. Expert Systems with Applications 83:242–256

    Google Scholar 

  21. Li CB, Li SK, Liu YQ (2016) A least squares support vector machine model optimized by moth-flame optimization algorithm for annual power load forecasting. Appl Intell 45(4):1166–1178

    Google Scholar 

  22. Zhang L, Mistry K, Neoh SC, Lim CP (2016) Intelligent facial emotion recognition using moth-firefly optimization. Knowl-Based Syst 111:248–267

    Google Scholar 

  23. Liu ZF, Li LL, Tseng ML, Lim MK (2020) Prediction short-term photovoltaic power using improved chicken swarm optimizer - extreme learning machine model. J Clean Prod 248:14

    Google Scholar 

  24. Li LL, Sun J, Tseng ML, Li ZG (2019) Extreme learning machine optimized by whale optimization algorithm using insulated gate bipolar transistor module aging degree evaluation. Expert Syst Appl 127:58–67

    Google Scholar 

  25. Baliarsingh SK, Vipsita S (2020) Chaotic emperor penguin optimised extreme learning machine for microarray cancer classification. IET Syst Biol 14(2):85–95

    Google Scholar 

  26. Tang JX, Deng CW, Huang GB (2016) Extreme learning machine for multilayer perceptron. Ieee Transactions on Neural Networks and Learning Systems 27(4):809–821

    MathSciNet  Google Scholar 

  27. Suresh S, Babu RV, Kim HJ (2009) No-reference image quality assessment using modified extreme learning machine classifier. Appl Soft Comput 9(2):541–552

    Google Scholar 

  28. Wan C, Xu Z, Pinson P, Dong ZY, Wong KP (2014) Optimal prediction intervals of wind power generation. IEEE Trans Power Syst 29(3):1166–1174

    Google Scholar 

  29. Zhang RX, Huang GB, Sundararajan N, Saratchandran P (2007) Multicategory classification using an extreme learning machine for microarray gene expression cancer diagnosis. Ieee-Acm Transactions on Computational Biology and Bioinformatics 4(3):485–495

    Google Scholar 

  30. Mirjalili S (2015) Moth-flame optimization algorithm: a novel nature-inspired heuristic paradigm. Knowl-Based Syst 89:228–249

    Google Scholar 

  31. Allam D, Yousri DA, Eteiba MB (2016) Parameters extraction of the three diode model for the multi-crystalline solar cell/module using moth-flame optimization algorithm. Energy Convers Manag 123:535–548

    Google Scholar 

  32. Yildiz BS, Yildiz AR (2017) Moth-flame optimization algorithm to determine optimal machining parameters in manufacturing processes. Materials Testing 59(5):425–429

    Google Scholar 

  33. Mei RNS, Sulaiman MH, Mustaffa Z, Daniyal H (2017) Optimal reactive power dispatch solution by loss minimization using moth-flame optimization technique. Appl Soft Comput 59:210–222

    Google Scholar 

  34. Khalilpourazari S, Khalilpourazary S (2019) An efficient hybrid algorithm based on water cycle and moth-flame optimization algorithms for solving numerical and constrained engineering optimization problems. Soft Comput 23(5):1699–1722

    Google Scholar 

  35. Savsani V, Tawhid MA (2017) Non-dominated sorting moth flame optimization (NS-MFO) for multi-objective problems. Eng Appl Artif Intell 63:20–32

    Google Scholar 

  36. Mirjalili S (2015) The ant lion optimizer. Adv Eng Softw 83:80–98

    Google Scholar 

  37. Li LL, Liu ZF, Tseng ML, Chiu ASF (2019) Enhancing the Lithium-ion battery life predictability using a hybrid method. Appl Soft Comput 74:110–121

    Google Scholar 

  38. Li LL, Wen SY, Tseng ML, Wang CS (2019) Renewable energy prediction: a novel short-term prediction model of photovoltaic output power. J Clean Prod 228:359–375

    Google Scholar 

  39. Huang GB (2014) An insight into extreme learning machines: random neurons. Random Features and Kernels Cognitive Computation 6(3):376–390

    Google Scholar 

  40. Huang GB, Ding XJ, Zhou HM (2010) Optimization method based extreme learning machine for classification. Neurocomputing. 74(1–3):155–163

    Google Scholar 

  41. Huang GB, Zhou HM, Ding XJ, Zhang R (2012) Extreme learning machine for regression and multiclass classification. Ieee Transactions on Systems Man and Cybernetics Part B-Cybernetics 42(2):513–529

    Google Scholar 

  42. Huang GB, Wang DH, Lan Y (2011) Extreme learning machines: a survey. Int J Mach Learn Cybern 2(2):107–122

    Google Scholar 

  43. Huang GB, Chen L (2007) Convex incremental extreme learning machine. Neurocomputing. 70(16–18):3056–3062

    Google Scholar 

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Acknowledgments

This study was supported by the Ministry of Education Research of Industry–University cooperation and Cooperative Education Action Project of China [Project No. 201702051010].

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Correspondence to Cheng-Jian Lin.

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Zhang, B., Tan, R. & Lin, CJ. Forecasting of e-commerce transaction volume using a hybrid of extreme learning machine and improved moth-flame optimization algorithm. Appl Intell 51, 952–965 (2021). https://doi.org/10.1007/s10489-020-01840-y

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