In this paper, we develop a new bi-objective model for dynamic weapon-target assignment problem. We consider that the initial weapon assignment plan of defense is disrupted during engagement because of a destroyed air target, breakdown of a weapon system or a new incoming air target. The objective functions are defined as the maximization of probability of no-leaker and the maximization of stability in engagement order of weapon systems. Stability is defined as assigning same air target in sequence in engagement order of a weapon system so that reacquisition and re-tracking of air target are not required by sensors. We propose a new solution procedure to generate updated assignment plans by maximizing efficiency of defense while maximizing stability through swapping weapon engagement orders. The proposed solution procedure generates non-dominated solutions from which defense can quickly choose the most-favored course of action. We solve a set of representative problems with different sizes and present computational results to evaluate effectiveness of the proposed approach.

中文翻译：

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具有稳定性测度的双目标动态武器目标分配问题

在本文中，我们为动态武器目标分配问题开发了一种新的双目标模型。我们认为防御的初始武器分配计划在交战期间因空中目标被摧毁、武器系统故障或新的空中目标而中断。目标函数被定义为武器系统在交战顺序中无泄漏概率的最大化和稳定性的最大化。稳定性被定义为按照武器系统的交战顺序依次分配相同的空中目标，这样传感器就不需要重新捕获和重新跟踪空中目标。我们提出了一种新的解决方案，通过交换武器交战命令最大限度地提高防御效率，同时最大限度地提高稳定性，从而生成更新的分配计划。提议的解决方案程序生成非支配解决方案，防御可以从中快速选择最有利的行动方案。我们解决了一组不同大小的代表性问题，并提供了计算结果来评估所提出方法的有效性。