Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 4 min ago
Peer-reviewedCC BY-NCReliability: Theory & Applications

The dimension of the PMHF functional safety metric of ISO 26262 standard

  1. 1Unitsky String Technologies Inc.
  2. 2Moscow Technical University of Communication and Informatics
  3. 3Non

Abstract

The ISO 26262 functional safety metric PMHF, which characterizes the probabilistic properties of random hardware failures, is discussed. The PMHF metric is used to determine the automotive safety integrity level (ASIL). The disadvantages of determining this metric and the inaccuracy associated with the specified dimension [1/hour] are shown. According to the authors of the article, the PMHF metric (the average operational lifetime probability of a dangerous hardware failure per hour) is dimensionless. Reasonable arguments are given that the dimension of the PMHF metric cannot differ from the dimension of the averaged probabilities.

The paper indicates the possible reason for the inaccuracy, and shows the correct way to calculate PMHF, which involves using not the operational lifetime (with a dimension of [hour]), but a dimensionless number of 1-hour time intervals within the device’s operational lifetime.

Related

  1. On dimension of posets excluding a standard example
    Jędrzej Hodor, Piotr Micek, William T. Trotter
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  2. The Diametral Metric Dimension of Generalized Corona Graph
    Anis Nur Fitria, Liliek Susilowati, Yayuk Wahyuni +1
    arXivPreprintCC BY-SA 4.0Full textCombinatorics & discrete mathematicsarXiv
  3. Default-Distance Entropy and Metric Dimension in Finite Geometries
    Maximiliano Vazquez
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  4. Weak k-metric dimension of Hamming graphs: rectangular products and near-maximum parameters
    Aryan Kumar
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  5. Metric dimension and maximum eigenvalue multiplicity of graph Laplacians
    Monther Rashed Alfuraidan, Suliman Khan, Lorenzo Sauras Altuzarra
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
BibTeX
@article{shevchenko2026dimension,
  title = {{The dimension of the PMHF functional safety metric of ISO 26262 standard}},
  author = {Dmitriy Shevchenko and Victor Netes and Alexander Starovoitov},
  journal = {Reliability: Theory \& Applications},
  year = {2026},
  month = jun,
  doi = {10.66721/s1pfd068},
  url = {https://doi.org/10.66721/s1pfd068},
  note = {CC BY-NC},
}
RIS
TY  - JOUR
TI  - The dimension of the PMHF functional safety metric of ISO 26262 standard
AU  - Dmitriy Shevchenko
AU  - Victor Netes
AU  - Alexander Starovoitov
PY  - 2026
DA  - 2026/06/01
JO  - Reliability: Theory & Applications
DO  - 10.66721/s1pfd068
UR  - https://doi.org/10.66721/s1pfd068
AB  - The ISO 26262 functional safety metric PMHF, which characterizes the probabilistic properties of random hardware failures, is discussed. The PMHF metric is used to determine the automotive safety integrity level (ASIL). The disadvantages of determining this metric and the inaccuracy associated with the specified dimension [1/hour] are shown. According to the authors of the article, the PMHF metric (the average operational lifetime probability of a dangerous hardware failure per hour) is dimensionless. Reasonable arguments are given that the dimension of the PMHF metric cannot differ from the dimension of the averaged probabilities.  The paper indicates the possible reason for the inaccuracy, and shows the correct way to calculate PMHF, which involves using not the operational lifetime (with a dimension of [hour]), but a dimensionless number of 1-hour time intervals within the device’s operational lifetime.
SN  - 1932-2321
ER  -