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Thirty Years of Modeling Midair Collisions

Author

Listed:
  • Robert E. Machol

    (2101 Connecticut Avenue, NW, No. 77, Washington, DC 20008-1761)

Abstract

For 30 years, operations researchers have developed mathematical models of processes leading to possible collisions of aircraft flying in proximity to one another in order to estimate the risk of collision. These “collision risk models” were applied in the 1960s to determine safe separation standards between pairs of co-altitude aircraft on parallel courses over the North Atlantic Ocean. The models have been and are being continually refined and improved. They have been applied to different geographic regions (for example, the Pacific Ocean and domestic airspace), to different flight regimes (for example, high-altitude cruise and landing on closely spaced runways), and to different types of separation (vertical and longitudinal as well as lateral).

Suggested Citation

  • Robert E. Machol, 1995. "Thirty Years of Modeling Midair Collisions," Interfaces, INFORMS, vol. 25(5), pages 151-172, October.
    • Handle: RePEc:inm:orinte:v:25:y:1995:i:5:p:151-172
    DOI: 10.1287/inte.25.5.151
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    Citations

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    Cited by:

    1. Arnold Barnett, 1999. "A "Parallel Approach" Path to Estimating Collision Risk During Simultaneous Landings," Management Science, INFORMS, vol. 45(3), pages 382-394, March.
    2. Hanif D. Sherali & J. Cole Smith & Antonio A. Trani & Srinivas Sale, 2000. "National Airspace Sector Occupancy and Conflict Analysis Models for Evaluating Scenarios under the Free-Flight Paradigm," Transportation Science, INFORMS, vol. 34(4), pages 321-336, November.
    3. Arnold Barnett, 2000. "Free-Flight and en Route Air Safety: A First-Order Analysis," Operations Research, INFORMS, vol. 48(6), pages 833-845, December.
    4. Anders la Cour‐Harbo & Henrik Schiøler, 2019. "Probability of Low‐Altitude Midair Collision Between General Aviation and Unmanned Aircraft," Risk Analysis, John Wiley & Sons, vol. 39(11), pages 2499-2513, November.

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