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A new reliability allocation method for machine tools based on ITrFNs and AHP-GRA

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Abstract

In the reliability optimization design field of CNC machine tools, reliability allocation plays a significant part, which has the characteristics of high complexity and strong uncertainty. Traditionally, reliability allocation methods have the disadvantages of a single allocation influence factor, too subjective or too objective, not flexible enough, etc. To solve the related problems, a novel reliability allocation method for machine tools is proposed, which combines subjective and objective weightings, and a variety of influencing factors are considered comprehensively. To deal with the characteristic of uncertainty and fuzziness in machine tool reliability analysis, different intuitionistic trapezoidal fuzzy numbers (ITrFNs) are allocated according to the importance of influencing factors. As the subjective method, the analytic hierarchy process (AHP) can reflect the decision maker’s subjective preferences of machine tool influence factors, while the grey relational method (GRA) can analyze the relationship between data which is adopted as an objective weighting method. The reliability of each subsystem is obtained by combining the two methods. Finally, the validity of the proposed method is proved by an illustration analyzing and comparing it with the traditional AHP method and fuzzy allocation methods.

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Data availability

The datasets used or analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

The National Natural Science Foundation of China (No. 51975012), the National Science and Technology Major Special Project (No. 2018ZX04033001), and the Beijing Nova Program Interdisciplinary Cooperation Project (No. Z191100001119010). Supported by Opening Project of the Key Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University (No. 202102).

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Authors and Affiliations

  1. Institute of Advanced Manufacturing and Intelligent Technology, Beijing University of Technology, Beijing, 100124, China

    Qiang Cheng, Yongbo Kang, Congbin Yang & Caixia Zhang

  2. Beijing Key Laboratory of Advanced Manufacturing Technology, Beijing University of Technology, Beijing, 100124, China

    Qiang Cheng, Yongbo Kang, Congbin Yang & Caixia Zhang

  3. Key Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun, 130025, China

    Chuanhai Chen

Authors
  1. Qiang Cheng
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  2. Yongbo Kang
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  3. Congbin Yang
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  4. Caixia Zhang
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Contributions

Qiang Cheng: methodology, validation, investigation, formal analysis, writing–review, and editing; Yongbo Kang: writing, methodology, and investigation; Congbin Yang: resources and overseeing of analysis; Caixia Zhang: supervision and review of the experimental setup; Chuanhai Chen: investigation.

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Correspondence to Congbin Yang.

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Cheng, Q., Kang, Y., Yang, C. et al. A new reliability allocation method for machine tools based on ITrFNs and AHP-GRA. Int J Adv Manuf Technol 124, 4019–4032 (2023). https://doi.org/10.1007/s00170-021-08153-5

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