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Optimization of air vehicles operations using mixed-integer linear programming

Author

Listed:
  • C Schumacher

    (Air Force Research Laboratory (AFRL/VACA) Wright-Patterson AFB)

  • P R Chandler

    (Air Force Research Laboratory (AFRL/VACA) Wright-Patterson AFB)

  • M Pachter

    (Air Force Institute of Technology (AFIT/ENG) Wright-Patterson AFB)

  • L S Pachter

    (University of California at Berkeley)

Abstract

A scenario where multiple air vehicles are required to prosecute geographically dispersed targets is considered. Furthermore, multiple tasks are to be successively performed on each target, that is, the targets must be classified, attacked, and verified as destroyed. The optimal, for example, minimum time, performance of these tasks requires cooperation among the vehicles such that critical timing constraints are satisfied, that is, a target must be classified before it can be attacked, and an air vehicle is sent to a target area to verify its destruction only after the target has been attacked. In this paper, the optimal task assignment/scheduling problem is posed as a mixed-integer linear program (MILP). The solution of the MILP assigns all tasks to the vehicles and performs the scheduling in an optimal manner, including staged departure times. Coupled tasks involving timing and task order constraints are automatically addressed. When the air vehicles have sufficient endurance, the existence of a solution is guaranteed.

Suggested Citation

  • C Schumacher & P R Chandler & M Pachter & L S Pachter, 2007. "Optimization of air vehicles operations using mixed-integer linear programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(4), pages 516-527, April.
  • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:4:d:10.1057_palgrave.jors.2602176
    DOI: 10.1057/palgrave.jors.2602176
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    References listed on IDEAS

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    1. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1994. "A Tabu Search Heuristic for the Vehicle Routing Problem," Management Science, INFORMS, vol. 40(10), pages 1276-1290, October.
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    Cited by:

    1. Chase C. Murray & Mark H. Karwan, 2010. "An extensible modeling framework for dynamic reassignment and rerouting in cooperative airborne operations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(7), pages 634-652, October.

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