Korean Management Science Review (경영과학)

The Korean Operations Research and Management Science Society (한국경영과학회)
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A Study on the Allocation and Engagement Scheduling of Air Defense Missiles by Using Mixed Integer Programming

혼합정수계획법을 이용한 요격미사일의 할당 및 교전 일정계획에 관한 연구

  • Lee, Dae Ryeock (Department of Business Administration, University of Seoul/Korea Institute of Marine Science and Technology Promotion) ;
  • Yang, Jaehwan (Department of Business Administration, University of Seoul)
  • 이대력 (서울시립대학교 경영학과/한국해양과학기술진흥원) ;
  • 양재환 (서울시립대학교 경영학부)
  • Received : 2015.09.24
  • Accepted : 2015.12.30
  • Published : 2015.12.31
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Abstract

This paper considers the allocation and engagement scheduling of air defense missiles by using MIP (mixed integer programming). Specifically, it focuses on developing a realistic MIP model for a real battle situation where multiple enemy missiles are headed toward valuable defended assets and there exist multiple air defense missiles to counteract the threats. In addition to the conventional objective such as the minimization of surviving target value, the maximization of total intercept altitude is introduced as a new objective. The intercept altitude of incoming missiles is important in order to minimize damages from debris of the intercepted missiles and moreover it can be critical if the enemy warhead contains an atomic or chemical bomb. The concept of so called the time window is used to model the engagement situation and a continuous time is assumed for flying times of the both missiles. Lastly, the model is extended to simulate the situation where the guidance radar, which guides a defense missile to its target, has the maximum guidance capacity. The initial mathematical model developed contains several non-linear constraints and a non-linear objective function. Hence, the linearization of those terms is performed before it is solved by a commercially available software. Then to thoroughly examine the MIP model, the model is empirically evaluated with several test problems. Specifically, the models with different objective functions are compared and several battle scenarios are generated to evaluate performance of the models including the extended one. The results indicate that the new model consistently presents better and more realistic results than the compared models.

Keywords

References

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