Cutting Tool Reliability and Machining Economics when Tool Wear Follows a Linear Nonstationary Random Wear Process

  • Anwar Khalil Sheikh
  • Syed Javed Hussain
  • Munir Ahmad
Conference paper


This paper discusses the reliability modelling of cutting tools used in automated machining systems. The tool wear is characterized as a linear nonstationary random wear process. A three parameter tool reliability model known as Bernstein Model is developed. Two special cases of this reliability model are (i) normal, and (ii) inverted normal. The adequacy of these models to fit the tool failure data is discussed. The scatter parameters of these models characterizing the dispersion in tool life are tabulated for various type of tools. The effect of tool life scatter on machining economics is illustrated for multitool systems. Using inverted normal reliability model, the optimal tool replacement strategies are developed for automated machining systems.


Tool Wear Tool Life Scatter Parameter Failure Replacement Renewal Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Anwar Khalil Sheikh
    • 1
  • Syed Javed Hussain
    • 1
  • Munir Ahmad
    • 1
  1. 1.University of Petroleum & Minerals DhahranSaudi Arabia

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