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MAD: Mathematical analysis of downtime

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  • Edward B. Brandt
  • Dilip R. Limaye

Abstract

The MAD model presents a mathematic treatment of the relationship between aircraft reliability and maintainability, system manning and inspection policies, scheduling and sortie length, and aircraft downtime. Log normal distributions are postulated for subsystem repair times and simultaneous repair of malfunctions is assumed. The aircraft downtime for maintenance is computed with the distribution of the largest of k log normal distributions. Waiting time for maintenance men is calculated either by using a multiple‐channel queuing model or by generating the distribution of the number of maintenance men required and comparing this to the number of men available to determine the probability of waiting at each inspection.

Suggested Citation

  • Edward B. Brandt & Dilip R. Limaye, 1970. "MAD: Mathematical analysis of downtime," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 17(4), pages 525-534, December.
    • Handle: RePEc:wly:navlog:v:17:y:1970:i:4:p:525-534
    DOI: 10.1002/nav.3800170410
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