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A multi-model methodology for forecasting sales and returns of liquefied petroleum gas cylinders

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Abstract

In the liquefied petroleum gas (LPG) cylinder business, one of the most important assets is the LPG cylinder. This work addresses the asset acquisition planning for the LPG cylinder business of a company from the energy sector which has recently started this activity. In order to make the acquisition plan, it was necessary to forecast the sales and the LPG cylinder return rate. For that purpose, an ensemble method using time series techniques, multiple linear regression models and artificial neural networks was employed. Sales forecast was obtained using time series techniques, in particular, moving averages and exponential smoothing. Then, forecast of bottled propane gas sales and return rate was also addressed through multiple linear regression and artificial neural networks. A probability density function was defined for each of the different approaches. Afterward, using Monte Carlo simulation, the forecast values are obtained by a linear combination of the probability density functions, thus producing the final forecast. Results show that the company’s expectation of growth is larger than that predicted by the proposed methodology, which means the company should reflect on its current asset acquisition strategy. By combining different approaches, the proposed multi-model methodology allowed to obtain an accurate forecasting, without requiring a lot of historical data.

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Notes

  1. http://www.apetro.pt.

  2. http://www.ogimet.com.

  3. https://www.ipma.pt.

  4. The air temperature in (\(^\circ \hbox{C}\)) was multiplied by a constant factor for a better comparison with the sales.

References

  1. Adhikari R, Agrawal RK (2014) A linear hybrid methodology for improving accuracy of time series forecasting. Neural Comput Appl 25(2):269–281

    Google Scholar 

  2. Amasyali K, El-Gohary NM (2018) A review of data-driven building energy consumption prediction studies. Renew Sustain Energy Rev 81(Part 1):1192–1205

    Google Scholar 

  3. Aras H, Aras N (2004) Forecasting residential natural gas demand. Energy Sources 26(5):463–472

    Google Scholar 

  4. Balestra P, Nerlove M (1966) Pooling cross section and time series data in the estimation of a dynamic model: the demand for natural gas. Econometrica 34(3):585–612

    Google Scholar 

  5. Brockwell PJ, Davis RA (1991) Time series: theory and methods, 2nd edn. Springer, Berlin

    MATH  Google Scholar 

  6. Burnham KP, Anderson DR (2003) Model selection and multimodel inference: a practical information-theoretic approach. Springer, Berlin

    MATH  Google Scholar 

  7. Carrasco-Gallego R, Ponce-Cueto E (2009) Forecasting the returns in reusable containers’ closed-loop supply chains. a case in the lpg industry. In: 3rd International conference on industrial engineering and industrial management XIII Congreso de Ingeniería de Organización. Universitat Politécnica de Catalunya, pp 311–320

  8. Cassettari L, Bendato I, Mosca M, Mosca R (2017) A new stochastic multi source approach to improve the accuracy of the sales forecasts. Foresight 19(1):48–64

    Google Scholar 

  9. Dombayci OA (2010) The prediction of heating energy consumption in a model house by using artificial neural networks in Denizli–Turkey. Adv Eng Softw 41(2):141–147

    MATH  Google Scholar 

  10. Draper N, Smith H (1998) Applied regression analysis. Wiley, Hoboken

    MATH  Google Scholar 

  11. Erdogdu E (2010) Natural gas demand in Turkey. Appl Energy 87:211–219

    Google Scholar 

  12. Feng C, Cui M, Hodge BM, Zhang J (2017) A data-driven multi-model methodology with deep feature selection for short-term wind forecasting. Appl Energy 190:1245–1257

    Google Scholar 

  13. Fernández JC, Cruz-Ramírez M, Hervás-Martínez C (2018) Sensitivity versus accuracy in ensemble models of artificial neural networks from multi-objective evolutionary algorithms. Neural Comput Appl 30(1):289–305

    Google Scholar 

  14. Fonseca S (2014) Characterization of the energy consumption in Portugal’s residential sector. Master’s thesis, Instituto Superior Técnico, Lisbon, Portugal

  15. Freedman DA (2009) Statistical models: theory and practice. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  16. Gardner ES (1985) Exponential smoothing: the state of the art. J Forecast 4(1):1–28

    MathSciNet  Google Scholar 

  17. Hamilton JD (1994) Time series analysis. Princeton University Press, Princeton

    MATH  Google Scholar 

  18. Holt CC (2004) Forecasting seasonals and trends by exponentially weighted moving averages. Int J Forecast 20(1):5–10

    Google Scholar 

  19. Hyndman R, Koehler AB, Ord JK, Snyder RD (2008) Forecasting with exponential smoothing: the state space approach. Springer, Berlin

    MATH  Google Scholar 

  20. Hyndman RJ, Athanasopoulos G (2012) Forecasting: principles and practice. http://otexts.com/fpp/. Accessed 27 Sept 2017

  21. Jiang Y, Yin S, Kaynak O (2018) Data-driven monitoring and safety control of industrial cyber-physical systems: basics and beyond. IEEE Access 6:47374–47384

    Google Scholar 

  22. Lantz B (2013) Machine learning with R. Packt Publishing Ltd, Birmingham

    Google Scholar 

  23. Liu LM, Lin MW (1991) Forecasting residential consumption of natural gas using monthly and quarterly time series. Int J Forecast 7:3–16

    Google Scholar 

  24. Mentzer JT, Cox JE (1984) Familiarity, application, and performance of sales forecasting techniques. J Forecast 3(1):27–36

    Google Scholar 

  25. Montgomery DC, Johnson LA, Gardiner JS (1990) Introduction to linear regression analysis, 2nd edn. McGraw-Hill, New York

    Google Scholar 

  26. Montgomery DC, Peck EA, Vining GG (2012) Introduction to linear regression analysis, 5th edn. Wiley, Hoboken

    MATH  Google Scholar 

  27. Montgomery DC, Runger GC (2010) Applied statistics and probability for engineers. Wiley, Hoboken

    MATH  Google Scholar 

  28. Naderpour H, Mirrashid M (2019) Shear failure capacity prediction of concrete beam–column joints in terms of ANFIS and GMDH. Pract Period Struct Des Constr 24(2):04019,006

    Google Scholar 

  29. Naderpour H, Mirrashid M, Nagai K (2019) An innovative approach for bond strength modeling in FRP strip-to-concrete joints using adaptive neuro–fuzzy inference system. Eng Comput. https://doi.org/10.1007/s00366-019-00751-y

    Article  Google Scholar 

  30. Sánchez-Úbeda E, Berzosa A (2007) Modeling and forecasting industrial end-use natural gas consumption. Energy Econ 29(4):710–742

    Google Scholar 

  31. Soldo B (2012) Forecasting natural gas consumption. Appl Energy 92:26–37

    Google Scholar 

  32. Sousa J (2012) Background of Portuguese domestic energy consumption at European level. In: IT4Energy international workshop on information technology for energy applications

  33. Thaler M, Grabec I, Poredoš A (2005) Prediction of energy consumption and risk of excess demand in a distribution system. Physica A 355(1):46–53

    MathSciNet  Google Scholar 

  34. Tonković Z, Zekić-Sušac M, Somolanji M (2009) Predicting natural gas consumption by neural networks. Tehnicki Vjesnik 16(3):51–61

    Google Scholar 

  35. Vitullo S (2011) Disaggregating time series data for energy consumption by aggregate and individual customer. PhD Thesis. Marquette University, Milwaukee Wisconsin. https://epublications.marquette.edu/dissertations_mu/169/. Accessed 9 May 2017

  36. Vitullo SR, Brown RH, Corliss GF, Marx BM (2009) Mathematical models for natural gas forecasting. Can Appl Math Q 17(7):807–827

    Google Scholar 

  37. Vondráček J, Pelikán E, Konár O, Čermáková J, Eben K, Malý M, Brabec M (2008) A statistical model for the estimation of natural gas consumption. Appl Energy 85(5):362–370

    Google Scholar 

  38. Wright DJ (1986) Forecasting data published at irregular time intervals using an extension of Holt’s method. Manage Sci 32(4):499–510

    Google Scholar 

  39. Yang Y, Chen Y, Wang Y, Li C, Li L (2016) Modelling a combined method based on anfis and neural network improved by de algorithm: a case study for short-term electricity demand forecasting. Appl Soft Comput 49:663–675

    Google Scholar 

  40. Yin S, Jiang Y, Tian Y, Kaynak O (2017) A data-driven fuzzy information granulation approach for freight volume forecasting. IEEE Trans Ind Electron 64:1447–1456

    Google Scholar 

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Acknowledgements

This work was partially supported from COST Action TD1409, Mathematics for Industry Network (MI-NET), supported by COST (European Cooperation in Science and Technology). Aldina Correia and Eliana Costa e Silva were partially supported by Portuguese funds through CIICESI - Center for Research and Innovation in Business Sciences and Information Systems, reference UID/GES/04728/2020. Magda Monteiro and Rui Borges Lopes were partially supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT - Fundação para a Ciência e a Tecnologia), references UIDB/04106/2020 and UIDP/04106/2020. We would like to thank Ana Sapata from University of Évora, and Cláudio Henriques, Fábio Henriques and Mariana Pinto from University of Aveiro for their contributions during the European Study Group.

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Correspondence to Cristina Lopes.

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Correia, A., Lopes, C., Costa e Silva, E. et al. A multi-model methodology for forecasting sales and returns of liquefied petroleum gas cylinders. Neural Comput & Applic 32, 12643–12669 (2020). https://doi.org/10.1007/s00521-020-04713-0

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