{
  "abstract": "Real-time systems consist of a set of tasks, a scheduling policy, and a system architecture, all constrained by timing requirements. Many everyday embedded systems, within devices such as airplanes, cars, trains, and spatial probes, operate as real-time systems. To ensure safe failure rates, response times-the time required for the exection of a task-must be bounded. Rate Monotonic real-time systems prioritize tasks according to their arrival rate. This paper focuses on the use of the central limit of response times built in \\cite{zagalo2022} and an approximation of their distribution with an inverse Gaussian mixture distribution. The distribution parameters and their associated failure rates are estimated through a suitable re-parameterization of the inverse Gaussian distribution and an adapted Expectation-Maximization algorithm. Extensive simulations demonstrate that the method is well-suited for the approximation of failure rates. We discuss the extension of such method to a chi-squared independence test adapted to real-time systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2211.01720",
  "author_total": 2,
  "authors": [
    {
      "name": "Kevin Zagalo"
    },
    {
      "name": "Avner Bar-Hen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/akcavy8vjhvr6.bib",
  "cited_by": 1,
  "doi": "10.1109/tc.2026.3742489",
  "fulltext_url": null,
  "id": "akcavy8vjhvr6",
  "issns": [
    "0018-9340"
  ],
  "landing_url": "https://inria.hal.science/hal-03839408v4",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.info"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.info.info-sy"
    ],
    [
      "hal",
      "1.math.math-st"
    ],
    [
      "openalex",
      "1708|Real-Time Systems Scheduling"
    ]
  ],
  "openalex": "W4308243955",
  "pdf_url": "https://inria.hal.science/hal-03839408/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "Institute of Electrical and Electronics Engineers",
  "ris": "https://research.draconitic.com/paper/akcavy8vjhvr6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:02Z",
      "native_id": "hal-03839408",
      "source": "hal",
      "url": "https://inria.hal.science/hal-03839408v4"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-st",
      "subfield": "statistics"
    }
  ],
  "title": "Response Time Central-Limit and Failure Rate Estimation for Stationary Periodic Rate Monotonic Real-Time Systems",
  "title_text": "Response Time Central-Limit and Failure Rate Estimation for Stationary Periodic Rate Monotonic Real-Time Systems",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:02Z",
  "url": "https://research.draconitic.com/paper/akcavy8vjhvr6",
  "venue": "IEEE Transactions on Computers",
  "versions": []
}