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
US EPA O (2015) Electricity customers. In: US EPA. https://www.epa.gov/energy/electricity-customers. Accessed 30 Jan 2020
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
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
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
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
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
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
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
Nelsen RB (2007) An introduction to copulas. Springer Science & Business Media
McNeil AJ, Frey R, Embrechts P (2015) Quantitative risk management: concepts, techniques and tools. Princeton university press
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
Kalla D, Twomey J, Overcash M (2009) Unit process life cycle inventory (UPLCI)
Dahmus J, Gutowski T (2004) An environmental analysis of machining. In: ASME International Mechanical Engineering Congress and RD&D Exposition, Anaheim, California, USA
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
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
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
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
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
Giret A, Trentesaux D, Prabhu V (2015) Sustainability in manufacturing operations scheduling: a state of the art review. J Manuf Syst 37:126–140
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
National Grid Understanding Electric Demand. In: Understanding Electric Demand. https://www.nationalgridus.com/niagaramohawk/non_html/eff_elec-demand.pdf. Accessed 4 Dec 2015
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
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
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
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
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
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
Sklar M (1959) Fonctions de repartition an dimensions et leurs marges. Publ Inst Statist Univ Paris 8:229–231
Joe H (2014) Dependence modeling with copulas. Chapman and Hall/CRC
Scarsini M (1984) On measures of concordance. Stochastica 8:201–218
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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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DOI: https://doi.org/10.1007/s00170-020-05511-7