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The establishment and application of quality gain-loss function when the loss of primary and cubic term is not ignored and the compensation quantity is constant

Author

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  • Bo Wang
  • Xiaojuan Li
  • Jianyou Shi
  • Qikai Li
  • Xiangtian Nie

Abstract

The traditional quality gain-loss function(QGLF) considers the case that the primary term loss cannot be ignored, does not consider the cubic term loss, but in practice the cubic term loss should not be ignored. In this paper, based on the existing QGLF model, the Taylor expansion is reserved to the third order, the determination of the quality loss coefficient is discussed and analyzed under the condition that the compensation quantity is constant, and the asymmetric cubic QGLF model is established, and uses an example of concrete mixture out of the machine slump during the dam concrete construction to analyze and discuss the relationship between the proposed model and the traditional quadratic QGLF, which verifies the rationality of the proposed model.

Suggested Citation

  • Bo Wang & Xiaojuan Li & Jianyou Shi & Qikai Li & Xiangtian Nie, 2023. "The establishment and application of quality gain-loss function when the loss of primary and cubic term is not ignored and the compensation quantity is constant," PLOS ONE, Public Library of Science, vol. 18(12), pages 1-21, December.
    • Handle: RePEc:plo:pone00:0295949
    DOI: 10.1371/journal.pone.0295949
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