Publication detail

Mathematical modeling and optimization of the tactical entity defensive engagement

MAZAL, J. STODOLA, P. HRABEC, D. KUTĚJ, L. PODHOREC, M. KŘIŠŤÁLOVÁ, D.

Czech title

Matematické modelování a optimalizace obranného chování taktických entit

English title

Mathematical modeling and optimization of the tactical entity defensive engagement

Type

journal article in Scopus

Language

en

Original abstract

Mathematical modeling and optimization is commonly used in many application areas. Computational support of not only military processes in not exceptional in this decade, however its scope still lies outside the direct decision support of commanders in various operations. The latest trends of technology development require further operational and technological development of decision making process support. This paper deals with mathematical modeling of the defensive behavior of the tactical entity. We implement the built model into our tactical information system. The system is designed for an effective and precise prediction of possible scenarios of a situation at hand, but solution of the particular operational task is based on individual approaches and could not be generalized yet. The solution of individual operational problem usually addresses the multi-criteria integration of operational analysis and models linked to the proper quantification and criteria setting. Finally, we provide some original insights into the optimal defensive behavior problem and illustrate the obtained solutions of selected computational examples involving various criteria.

Czech abstract

Matematické modelování a optimalizace jsou běžně používána v mnoha aplikačních oblastech. Počítačová podpora ve vojenských operacích není výjimkou v posledních dekádách, nicméně podpora (velitelského) rozhodování v různých operacích je stále potřebná. Poslední trendy ve vývoji technologických zařízení vyžadují další vývoj rozhodovacích procesů a jejich podpory. Tento článek se zabývá matematickým modelováním defensivního chování taktické entity.

English abstract

Mathematical modeling and optimization is commonly used in many application areas. Computational support of not only military processes in not exceptional in this decade, however its scope still lies outside the direct decision support of commanders in various operations. The latest trends of technology development require further operational and technological development of decision making process support. This paper deals with mathematical modeling of the defensive behavior of the tactical entity. We implement the built model into our tactical information system. The system is designed for an effective and precise prediction of possible scenarios of a situation at hand, but solution of the particular operational task is based on individual approaches and could not be generalized yet. The solution of individual operational problem usually addresses the multi-criteria integration of operational analysis and models linked to the proper quantification and criteria setting. Finally, we provide some original insights into the optimal defensive behavior problem and illustrate the obtained solutions of selected computational examples involving various criteria.

Keywords in English

Mathematical Modeling, Optimal Maneuver, Decision-making Process, Decision Support Systems, Optimal Deployment, C4ISR.

RIV year

2015

Released

01.11.2015

ISSN

1998-0140

Number

9

Pages from–to

600–606

Pages count

7

BIBTEX


@article{BUT119586,
  author="Jan {Mazal} and Petr {Stodola} and Dušan {Hrabec},
  title="Mathematical modeling and optimization of the tactical entity defensive engagement",
  year="2015",
  number="9",
  month="November",
  pages="600--606",
  issn="1998-0140"
}