Skip to main content
Log in

A comprehensive evaluation method of diesel engine sound quality based on paired comparison, uniform design sampling, and improved analytic hierarchy process

基于PC,UDS和改进AHP的柴油机噪声品质综合评价方法

  • Published:
Journal of Zhejiang University-SCIENCE A Aims and scope Submit manuscript

Abstract

The paired comparison (PC) is an easy and effective way to distinguish the nuances among sound stimuli of diesel engine in sound quality subjective evaluation. However, the PC method is inefficient for the subjective evaluation of large quantities of stimulus or to rank the results of overall perception of sound stimuli. To overcome the shortcoming of the PC method, this paper presents a comprehensive evaluation method of diesel engine sound quality based on the PC method, uniform design sampling (UDS), and the improved analytic hierarchy process (AHP). An hierarchical tree of comprehensive evaluation models of diesel engine sound quality is constructed and simplified through UDS to ensure that the sound sample size is in the application range of the PC method or the grouped paired-wise comparison (GPC) method. An improved AHP is developed by introducing a new method calculating the relative weight based on evaluators’ preference order instead of the traditional 1–9 scale method, which reduces subjective liberty and difficulty of the consistency of the judgment matrix meeting the requirement, and the requirements of evaluators’ specialized knowledge. With three diesel engines’ noise stimuli as example, a realization of sound quality comprehensive evaluation based on UDS-AHP method with the GPC method is introduced. The results show that the proposed subjective comprehensive evaluation method can accurately provide the ranks of the sound stimuli over all subjective perception with a significant decrease of the evaluation workload.

目的

提出柴油机噪声品质综合评价方法,解决产品总体噪声品质择优排序问题。

创新点

在噪声品质综合评价模型的研究中,将均匀设计抽样与层次分析法相结合,提出一种考虑多因素、多水平的噪声 品质主观综合评价GPC-UDS-AHP方法,通过对少量的声样本进行主观评价得到声品质综合评价结果;提出基于偏好序和Bradley-Terry模 型的权重计算方法,避免了1-9标度法主观性强和一致性难以满足要求的问题。

方法

针对传统的成对比较法难以在声品质主观评价试验中获得评价对象整体感受择优排序的不足,结合均设 计抽样法“均匀分散”的特点,提出一种基于分组成对比较法的柴油机声品质主观综合评价方法,确定适合于柴油机声品 质主观评价的结构及层次划分,提出基于偏好序和Bradley-Terry模型的各级指标权重计算方法。以采集 到的某3款柴油机共375个噪声样本为评价对象,分别利用该方法和等级评分法计算得出3款柴油机的声品质评价综合值。

结论

提出的柴油机声品质主观综合评价GPC-UDS-AHP方法可在有效地维持成 对比较主观评价试验实施范围的情况下,准确地得到柴油机声品质整体主观感受评价得分的择优排 序,可用于实施不同柴油机或N次改进试验的声品质比较和评判。

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bradley, R.A., Terry, M.E., 1952. Rank analysis of incomplete block designs: the method of paired comparisons. Biometrika, 39(3-4):324–345. http://dx.doi.org/10.2307/2334029

    Article  MathSciNet  MATH  Google Scholar 

  • Chouard, N., Weber, R., 1994. On the influence of the ordering of noise in sequences for paired comparison judgment utilization. INTER-NOISE and NOISE-CON Congress and Conference Proceedings, 6(1):1089–1092.

    Google Scholar 

  • Chouard, N., Hmpel, T., 1999. A semantic differential design especially developed for the evaluation of interior car sounds. The Journal of the Acoustical Society of America, 105(2):1280. http://dx.doi.org/10.1121/1.426109

    Article  Google Scholar 

  • David, H.A., 1966. The method of paired comparisons. Biometrics, 22(3):636. http://dx.doi.org/10.2307/2528197

    Google Scholar 

  • Fang, K.T., Ma, C.X., 2001. Orthogonal and Uniform Experimental Design. Science Press, China (in Chinese).

    Google Scholar 

  • Fang, K.T., Lu, X., Winker, P., 2003a. Lower bounds for centered and wrap-around L2-discrepancies and construction of uniform designs by threshold accepting. Journal of Complexity, 19(5):692–711. http://dx.doi.org/10.1016/S0885-064X(03)00067-0

    Article  MathSciNet  MATH  Google Scholar 

  • Fang, K.T., Lin, D.K.J., Liu, M.Q., 2003b. Optimal mixed level supersaturated design. Metrika, 58(3):279–291. http://dx.doi.org/10.1007/s001840300266

    Article  MathSciNet  MATH  Google Scholar 

  • Genuit, K., 2008. Product sound quality of vehicle noise–a permanent challenge for NVH measurement technologies. SAE Technical Paper, No. 2008-36-0517. http://dx.doi.org/10.4271/2008-36-0517

    Book  Google Scholar 

  • Hickernell, F.J., 1998a. A generalized discrepancy and quadrature error bound. Mathematics of Computation, 67(221):299–322. http://dx.doi.org/10.1090/S0025-5718-98-00894-1

    Article  MathSciNet  MATH  Google Scholar 

  • Hickernell, F.J., 1998b. Lattice Rules: How Well Do They Measure Up. Springer New York, 38:109–166. http://dx.doi.org/10.1007/978-1-4612-1702-2_3

    MathSciNet  Google Scholar 

  • Huang, C.M., Lee, Y.J., Lin, D.J.K., et al., 2007. Model selection for support vector machines via uniform design. Computational Statistics & Data Analysis, 52(1): 335–346. http://dx.doi.org/10.1016/j.csda.2007.02.013

    Article  MathSciNet  MATH  Google Scholar 

  • Huang, Y., Chen, K.A., Yan, L., et al., 2008. Adaptive grouped paired comparison: theory and selection of seeds. Chinese Journal of Acoustics, 4(3):298–309 (in Chinese). http://dx.doi.org/10.15949/j.cnki.0217-9776.2009.04.003

    Google Scholar 

  • Jiao, F.L., Liu, K., Mao, D.X., 2005. Subjective assessment of car interior sound quality: applicability of nonmetric multidimensional scaling to sound quality research. Acta Acustica, 30(6):521–529 (in Chinese). http://dx.doi.org/10.15949/j.cnki.0371-0025.2005.06.007

    Google Scholar 

  • Jing, M.E., Hao, Y., Zhang, J.F., et al., 2005. Efficient parametric yield optimization of VLSI circuit by uniform design sampling method. Microelectronics Reliability, 45(1):155–162. http://dx.doi.org/j.microrel.2004.06.001

    Article  Google Scholar 

  • Lemaitre, G., Susini, P., Winsberg, S., et al., 2002. Perception of the timbre of car horns. Proceedings of Forum Acusticum.

    Google Scholar 

  • Ling, M., Milner, B., Smith, D., 2006. Acoustic environment classification. ACM Transactions on Speech & Language Processing, 3(2):1–22. http://dx.doi.org/10.1145/1149290.1149292

    Google Scholar 

  • Liu, N.N., Wang, Y.S., Ju, J., 2014. Fuzzy comprehensive method for subjective noise annoyance evaluation of subway’s interior noise. Noise and Vibration Control, 34(3):101–106 (in Chinese). http://dx.doi.org/10.3969/j.issn.1006-1335.2014.03.021

    Google Scholar 

  • Mao, D.X., Yu, W.Z., Wang, Z.M., et al., 2005. Statistical validation and criterion for paired comparison data in sound quality evaluation. Acta Acustica, 30(5):468–472 (in Chinese). http://dx.doi.org/10.15949/j.cnki.0371-0025.2005.05.014

    Google Scholar 

  • Mao, D.X., Gao, Y.L., Zhou, Y.W., et al., 2006. Grouped pair-wise comparison for subjective sound quality evaluation. Chinese Journal of Acoustics, 25(3):267–276 (in Chinese). http://dx.doi.org/10.15949/j.cnki.0217-9776.2006.03.008

    Google Scholar 

  • McKay, M.D., Beckman, R.J., Conover, W.J., 1979. A comparison of three methods for selecting values of input variables in analysis of output from a computer codes. Technometrics, 21(1):239–245. http://dx.doi.org/10.1080/00401706.1979.10489755

    MathSciNet  MATH  Google Scholar 

  • Parizet, E., Koehl, V., 2011. Application of free sorting tasks to sound quality experiments. Applied Acoustics, 73(1): 61–65. http://dx.doi.org/10.1016/j.apacoust.2011.07.007

    Article  Google Scholar 

  • Rawlings, J.O., Pantula, S.G., Dickey, D.A., 1998. Applied regression analysis: a research tool. Technometrics, 41(1):82. http://dx.doi.org/10.2307/1271013

    MATH  Google Scholar 

  • Ronacher, A., Hussain, M., Biermayer, W., et al., 1999. Evaluating vehicle interior noise quality under transient driving conditions. SAE Technical Paper, No. 1999-01-1683. http://dx.doi.org/10.4271/1999-01-1683

    Google Scholar 

  • Satty, T.L., 2008. Decision making with the analytic hierarchy process. International Journal of Services Sciences, 1(1):83–98.

    Article  Google Scholar 

  • Su, L., Wang, D.F., Jiang, J.G., et al., 2012. Fuzzy comprehensive evaluation of vehicle interior sound quality based on semantic differential method. Journal of Jilin University (Engineering and Technology Edition), 42(2): 309–315 (in Chinese). http://dx.doi.org/10.13229/j.cnki.jdxbgxb2012.02.044

    Google Scholar 

  • Xu, Z.S., Wei, C.P., 1999. A consistency improving method in the analytic hierarchy process. European Journal of Operational Research, 116(2):443–449. http://dx.doi.org/10.1016/S0377-2217(98)00109-X

    Article  MATH  Google Scholar 

  • Zhang, J.H., Liu, H., Bi, F.R., et al., 2012. Psychoacoustic study on contribution of fan noise to engine noise. Chinese Journal of Mechanical Engineering, 25(4):809–815. http://dx.doi.org/10.3901/CJME.2012.04.809

    Article  Google Scholar 

  • Zhang, R.C., Wang, Z.J., 1996. Uniform design sampling and its fine properties. Chinese Journal of Applied Probability & Statistics, 12(4):337–347.

    MathSciNet  MATH  Google Scholar 

  • Zhou, B., Yao, H.L., Shi, M.H., et al., 2012. An new immune genetic algorithm based on uniform design sampling. Knowledge & Information Systems, 31(2):389–403. http://dx.doi.org/10.1007/s10115-011-0476-3

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jun-Hong Zhang.

Additional information

Project supported by the National High-Tech R&D Program of China (No. 2016YFD0700701)

ORCID: Wen-yun HE, http://orcid.org/0000-0001-7085-0199

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

He, WY., Zhang, JH. & Wang, J. A comprehensive evaluation method of diesel engine sound quality based on paired comparison, uniform design sampling, and improved analytic hierarchy process. J. Zhejiang Univ. Sci. A 18, 531–544 (2017). https://doi.org/10.1631/jzus.A1600025

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.A1600025

Keywords

CLC number

关键词

Navigation