Abstract
Weapons development planning is an unstructured and complex multi-criteria decision-making problem, especially in antagonistic environments. In this paper, the defender’s decision was modelled as a high complexity non-linear optimization problem with limited resources. An operation loop with realistic link rules was first proposed to model the cooperation relationships among weapons in the defense system. The system dynamics principle was used to characterize the dynamic behavior of the nodes in a complex weapons network. Then, we used cumulative threat and development risk to measure different planning solutions by considering the opponent and uncertainties in the development process. Next, an improved Differential Evolution (DE) and Non-Dominated Sorting Differential Evolution (NSDE) were designed to determine the optimal planning solutions for a single objective and multi-objective. The compromise solution, based on the Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS), was used to evaluate the Pareto solution set of the multi-objective. Finally, an illustrative case was studied to verify the feasibility and validity of the proposed model.
Highlights
After the 11 September 2001 terrorist attacks on the World Trade Center and the Pentagon in the United States, interest in counter-terrorism methods with limited resources has rapidly increased.allocating scarce defensive resources to optimize an objective function is one of the classic problems in Operations Research [1], being an important and difficult task [2]
Weapons development risk refers to the possibility that weapons may not attain the tactical and technical index given the constraints imposed by limited resources, which negatively impacts the overall performance of combat [33]
The final objective function values obtained by Differential Evolution (DE) and Particle Swarm Optimization (PSO) are considerably better than that of Genetic Algorithm (GA)
Summary
After the 11 September 2001 terrorist attacks on the World Trade Center and the Pentagon in the United States, interest in counter-terrorism methods with limited resources has rapidly increased. Due to the limitation of the geographical locations of the different weapons and some other factors, not all nodes could transfer information or energy, and certain nodes could only be arranged in descending or ascending order This phenomenon is common in real-life operational battles. Different nodes based on the traditional the enemy,This wephenomenon considered cooperation ideology of the operation loop, and the real link rules of these nodes. The main contributions of this paper are as follows: (1) When assessing the threat posed by the solving approach were considering the development and probabilistic threat from the enemy, we not proposed, only considered the cooperation among differentrisks nodes based on the traditional of the operation loop, and thesettings real link rules of thesedynamic nodes.
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