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A nonparametric approach to modeling dependence among production parameters for energy cost estimation

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Abstract

Dependence existing among production parameters can significantly affect energy costs. For material removal processes, processing times and material amounts to be cut have positive dependence, and the dependence can affect energy costs by varying a peak electricity load. Existing methods to model the dependence of production parameters are based on parametric approaches that cannot accurately represent the dependence due to the rigid nature of parametric models. To address this issue, this study proposes a method to quantify dependence among manufacturing parameters through the application of the empirical copula to the dependence between the milling processing time and the amount of volume to be cut. The proposed method is illustrated by a case study of a manufacturing facility consisting of milling machines; a total of 27 scenarios are simulated for energy cost estimations. The case study clearly shows that the proposed method can capture the dependence between the milling parameters more accurately than a conventional dependence measure from parametric correlation models. The findings from this study would be useful to estimate energy costs in that the proposed method provides a better fit to real production data than conventional parametric approaches can.

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References

  1. US EPA O (2015) Electricity customers. In: US EPA. https://www.epa.gov/energy/electricity-customers. Accessed 30 Jan 2020

  2. Jeon HW, Lee S, Wang C (2019) Estimating manufacturing electricity costs by simulating dependence between production parameters. Robot Comput Integr Manuf 55:129–140. https://doi.org/10.1016/j.rcim.2018.07.009

    Article  Google Scholar 

  3. Le Hesran C, Ladier A-L, Botta-Genoulaz V, Laforest V (2019) Operations scheduling for waste minimization: a review. J Clean Prod 206:211–226. https://doi.org/10.1016/j.jclepro.2018.09.136

    Article  Google Scholar 

  4. Akbar M, Irohara T (2018) Scheduling for sustainable manufacturing: a review. J Clean Prod 205:866–883. https://doi.org/10.1016/j.jclepro.2018.09.100

    Article  Google Scholar 

  5. Jeon HW, Lee S, Kargarian A, Kang Y (2017) Power demand risk models on milling machines. J Clean Prod 165:1215–1228. https://doi.org/10.1016/j.jclepro.2017.07.101

    Article  Google Scholar 

  6. Jeon HW, Taisch M, Prabhu V (2016) Measuring variability on electrical power demands in manufacturing operations. J Clean Prod 137:1628–1646. https://doi.org/10.1016/j.jclepro.2016.03.102

    Article  Google Scholar 

  7. Jeon HW, Taisch M, Prabhu VV (2015) Modelling and analysis of energy footprint of manufacturing systems. Int J Prod Res 53:7049–7059. https://doi.org/10.1080/00207543.2014.961208

    Article  Google Scholar 

  8. Gutowski TG, Branham MS, Dahmus JB, Jones AJ, Thiriez A, Sekulic DP (2009) Thermodynamic analysis of resources used in manufacturing processes. Environ Sci Technol 43:1584–1590. https://doi.org/10.1021/es8016655

    Article  Google Scholar 

  9. Nelsen RB (2007) An introduction to copulas. Springer Science & Business Media

  10. McNeil AJ, Frey R, Embrechts P (2015) Quantitative risk management: concepts, techniques and tools. Princeton university press

  11. Diaz N, Redelsheimer E, Dornfeld D (2011) Energy consumption characterization and reduction strategies for milling machine tool use. In: Hesselbach J, Herrmann C (eds) Glocalized solutions for sustainability in manufacturing. Springer, Berlin Heidelberg, pp 263–267

    Chapter  Google Scholar 

  12. Kalla D, Twomey J, Overcash M (2009) Unit process life cycle inventory (UPLCI)

  13. Dahmus J, Gutowski T (2004) An environmental analysis of machining. In: ASME International Mechanical Engineering Congress and RD&D Exposition, Anaheim, California, USA

  14. Duflou JR, Sutherland JW, Dornfeld D, Herrmann C, Jeswiet J, Kara S, Hauschild M, Kellens K (2012) Towards energy and resource efficient manufacturing: a processes and systems approach. CIRP Ann Manuf Technol 61:587–609. https://doi.org/10.1016/j.cirp.2012.05.002

    Article  Google Scholar 

  15. Apostolos F, Alexios P, Georgios P, Panagiotis S, George C (2013) Energy efficiency of manufacturing processes: a critical review. Procedia CIRP 7:628–633. https://doi.org/10.1016/j.procir.2013.06.044

    Article  Google Scholar 

  16. Zhou L, Li J, Li F, Meng Q, Li J, Xu X (2016) Energy consumption model and energy efficiency of machine tools: a comprehensive literature review. J Clean Prod 112:3721–3734. https://doi.org/10.1016/j.jclepro.2015.05.093

    Article  Google Scholar 

  17. Garwood TL, Hughes BR, Oates MR, O’Connor D, Hughes R (2018) A review of energy simulation tools for the manufacturing sector. Renew Sust Energ Rev 81:895–911. https://doi.org/10.1016/j.rser.2017.08.063

    Article  Google Scholar 

  18. Wang L, Meng Y, Ji W, Liu X (2019) Cutting energy consumption modelling for prismatic machining features. Int J Adv Manuf Technol 103:1657–1667. https://doi.org/10.1007/s00170-019-03667-5

    Article  Google Scholar 

  19. Giret A, Trentesaux D, Prabhu V (2015) Sustainability in manufacturing operations scheduling: a state of the art review. J Manuf Syst 37:126–140

    Article  Google Scholar 

  20. Gahm C, Denz F, Dirr M, Tuma A (2016) Energy-efficient scheduling in manufacturing companies: a review and research framework. Eur J Oper Res 248:744–757. https://doi.org/10.1016/j.ejor.2015.07.017

    Article  MathSciNet  MATH  Google Scholar 

  21. National Grid Understanding Electric Demand. In: Understanding Electric Demand. https://www.nationalgridus.com/niagaramohawk/non_html/eff_elec-demand.pdf. Accessed 4 Dec 2015

  22. Wang Y, Li L (2015) Time-of-use electricity pricing for industrial customers: a survey of U.S. utilities. Appl Energy 149:89–103. https://doi.org/10.1016/j.apenergy.2015.03.118

    Article  Google Scholar 

  23. Wang Y, Li L (2013) Time-of-use based electricity demand response for sustainable manufacturing systems. Energy 63:233–244. https://doi.org/10.1016/j.energy.2013.10.011

    Article  Google Scholar 

  24. Rodger JA (2014) A fuzzy nearest neighbor neural network statistical model for predicting demand for natural gas and energy cost savings in public buildings. Expert Syst Appl 41:1813–1829. https://doi.org/10.1016/j.eswa.2013.08.080

    Article  Google Scholar 

  25. Bhattacharyya SK, El-Menshawy MK, Garber S, Wallbank J (1981) A correlation between machining parameters and machinability in EDM. Int J Prod Res 19:111–122. https://doi.org/10.1080/00207548108956635

    Article  Google Scholar 

  26. Outeiro JC, Dias AM, Lebrun JL, Astakhov VP (2002) Machining residual stresses in AISI 316L steel and their correlation with the cutting parameters. Mach Sci Technol 6:251–270. https://doi.org/10.1081/MST-120005959

    Article  Google Scholar 

  27. Ezugwu EO, Fadare DA, Bonney J, da Silva RB, Sales WF (2005) Modelling the correlation between cutting and process parameters in high-speed machining of Inconel 718 alloy using an artificial neural network. Int J Mach Tools Manuf 45:1375–1385. https://doi.org/10.1016/j.ijmachtools.2005.02.004

    Article  Google Scholar 

  28. Sklar M (1959) Fonctions de repartition an dimensions et leurs marges. Publ Inst Statist Univ Paris 8:229–231

    MathSciNet  MATH  Google Scholar 

  29. Joe H (2014) Dependence modeling with copulas. Chapman and Hall/CRC

  30. Scarsini M (1984) On measures of concordance. Stochastica 8:201–218

    MathSciNet  MATH  Google Scholar 

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Correspondence to Kijung Park.

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Jeon, H.W., Chung, S.H. & Park, K. A nonparametric approach to modeling dependence among production parameters for energy cost estimation. Int J Adv Manuf Technol 108, 1913–1930 (2020). https://doi.org/10.1007/s00170-020-05511-7

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