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Mission optimal assignment of multi-mission systems under multiple phases with a shared component following an exponential lifetime distribution

Author

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  • Cui, Lirong
  • Ma, Hang
  • Yi, He

Abstract

This paper addresses the optimal mission assignment for a multi-mission multi-phase system with a shared component whose lifetime follows an exponential distribution. Probabilistic analyses related to this problem are provided, and two optimal problems are studied in depth. The distribution of the total number of completed missions is derived, along with formulas for its mean and variance. We also obtain some results using a finite Markov chain embedding approach. An algorithm employing the lexicographic order method is presented for finding the global optimal mission assignment, along with a discussion of its key properties. The results developed in this study have practical applications in various fields, such as reliability analysis for data processing computer systems, maintenance center task planning systems, product manufacturing systems, among others. The findings are illustrated with numerical examples.

Suggested Citation

  • Cui, Lirong & Ma, Hang & Yi, He, 2025. "Mission optimal assignment of multi-mission systems under multiple phases with a shared component following an exponential lifetime distribution," Reliability Engineering and System Safety, Elsevier, vol. 257(PA).
    • Handle: RePEc:eee:reensy:v:257:y:2025:i:pa:s0951832025000274
    DOI: 10.1016/j.ress.2025.110824
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