مدل‌سازی و حل مسئله چیدمان پایگاه های آتش

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه فردوسی مشهد

2 دانشگاه اما رضا (ع)

3 دانشگاه آزاد اسلامی گناباد

چکیده

استفاده از  مدل­های ریاضی و بهینه­سازی در مسائل نظامی اثر قابل توجهی در مسائل تصمیم­گیری مهم نظیر تعیین مکان  پایگاه­های آتش خودی از قبیل پایگاه‌های سلاح‌های سخت و نرم دارد. در این مقاله، یک مدل برنامه­ریزی عدد صحیح خطی برای مسئله چیدمان پایگاه­های آتش با هدف بیشینه­سازی متوسط میزان دسترسی به اهداف و میزان محافظت از مناطق مهم ارائه     می­شود. همچنین دو الگوریتم فرا ابتکاری مبتنی بر الگوریتم ژنتیک و الگوریتم بهینه­سازی تجمع ذرات برای حل این مسئله طراحی شده است. نتایج محاسباتی به دست آمده از این روش­ها با جواب دقیق حاصل از مدل‌سازی مقایسه شده و مشخص    می­شود، الگوریتم ژنتیک و الگوریتم بهینه­سازی تجمع ذرات در صورت محدودیت زمانی تا 60 ثانیه با میانگین به ترتیب 16/0% و 0.07% انحراف از جواب بهینه، دارای کارایی مناسبی هستند.

کلیدواژه‌ها


عنوان مقاله [English]

Modelling and Solving the Location Problem of Fire Launching Sites

نویسندگان [English]

  • Mahboobeh Peymankar 1
  • Mohammad Ranjbar 1
  • Ahmad Izadi Pour 2
  • Saeed Baloochian 3
1
2
3
چکیده [English]

Using the mathematical and optimization models has significant impact in military strategic decision making problems such as finding location of domestic fire launching site of hard and soft kill. In this paper, an integer linear programming model is developed for location problem of fire launching sites with goal of maximizing the expected value of the target accessibility and protection of strategic realms. Also, two     metaheuristic algorithms based on genetic algorithm and particle swarm optimization algorithm have been designed to solve the problem. The computational results of these methods have been compared to exact answers from modeling. It is revealed that with time limit of 60 seconds, the developed genetic algorithm and particle swarm optimization have 0.16% and 0.07% average deviation from optimal solutions,          indicating they perform efficiently.  
 

کلیدواژه‌ها [English]

  • Combat Management Systems
  • Fire launching sites
  • Location
  • Genetic Algorithm
  • Particle Swarm Optimization
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