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Optimization of weapon-target pairings based on kill probabilities
Abstract:
In this paper, we present a novel optimization algorithm for assigning weapons to targets based on desired kill probabilities. For the given weapons, targets, and desired kill probabilities, our optimization algorithm assigns weapons to targets that satisfy the desired kill probabilities and minimize the overkill. The minimization of overkill assures that any proper subset of the weapons assigned to a target results in a kill probability that is less than the desired kill probability on such a target. Computational results for up to 120 weapons and 120 targets indicate that the performance of this algorithm yields an average improvement in quality of solutions of 26.8% over the greedy algorithms, whereas execution times remained on the order of milliseconds.
Insights
This study introduces a new weapon-target assignment algorithm that minimizes overkill while meeting kill probability requirements. The novel optimization method significantly improves solution quality compared to greedy approaches.
Area of Science:
- Operations Research
- Defense Science
- Optimization Algorithms
Background:
- Effective weapon-target assignment is critical for military operations.
- Existing greedy algorithms may not optimize resource allocation efficiently.
- Minimizing overkill conserves resources and enhances mission effectiveness.
Purpose of the Study:
- To develop a novel optimization algorithm for weapon-target assignment.
- To ensure desired kill probabilities are met.
- To minimize overkill in weapon allocation.
Main Methods:
- Developed a new optimization algorithm for weapon-target assignment.
- Algorithm considers weapons, targets, and desired kill probabilities.
- Evaluated algorithm performance against greedy methods.
Main Results:
- The novel algorithm successfully assigns weapons to targets, meeting kill probabilities.
- It minimizes overkill, ensuring no subset of weapons exceeds desired kill probability.
- Demonstrated an average 26.8% improvement in solution quality over greedy algorithms.
- Achieved execution times in milliseconds for up to 120 weapons and 120 targets.
Conclusions:
- The proposed optimization algorithm is highly effective for weapon-target assignment.
- It offers significant improvements in solution quality and efficiency.
- This method provides a superior alternative to traditional greedy approaches.
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