Periodic coordination in hierarchical air defence systems

Piotr Arabas; Krzysztof Malinowski

International Journal of Applied Mathematics and Computer Science (2001)

  • Volume: 11, Issue: 2, page 493-513
  • ISSN: 1641-876X

Abstract

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The subject of this work is the defence planning of a point target against an air attack. The defence system is decomposed into a number of sectors. A direct method of coordination is used at the upper level, while the sectors use a discrete-time event-based model and the description of uncertainty by multiple scenarios of an attack. The resulting problems are solved using linear programming. A comparison of two coordination strategies for realistic attack scenarios and an analysis of effectiveness are provided.

How to cite

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Arabas, Piotr, and Malinowski, Krzysztof. "Periodic coordination in hierarchical air defence systems." International Journal of Applied Mathematics and Computer Science 11.2 (2001): 493-513. <http://eudml.org/doc/207517>.

@article{Arabas2001,
abstract = {The subject of this work is the defence planning of a point target against an air attack. The defence system is decomposed into a number of sectors. A direct method of coordination is used at the upper level, while the sectors use a discrete-time event-based model and the description of uncertainty by multiple scenarios of an attack. The resulting problems are solved using linear programming. A comparison of two coordination strategies for realistic attack scenarios and an analysis of effectiveness are provided.},
author = {Arabas, Piotr, Malinowski, Krzysztof},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {coordination; hierarchical systems; decision support systems; missile defence; missile defense; allocating resources; assigning tasks; periodic coordination},
language = {eng},
number = {2},
pages = {493-513},
title = {Periodic coordination in hierarchical air defence systems},
url = {http://eudml.org/doc/207517},
volume = {11},
year = {2001},
}

TY - JOUR
AU - Arabas, Piotr
AU - Malinowski, Krzysztof
TI - Periodic coordination in hierarchical air defence systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 2
SP - 493
EP - 513
AB - The subject of this work is the defence planning of a point target against an air attack. The defence system is decomposed into a number of sectors. A direct method of coordination is used at the upper level, while the sectors use a discrete-time event-based model and the description of uncertainty by multiple scenarios of an attack. The resulting problems are solved using linear programming. A comparison of two coordination strategies for realistic attack scenarios and an analysis of effectiveness are provided.
LA - eng
KW - coordination; hierarchical systems; decision support systems; missile defence; missile defense; allocating resources; assigning tasks; periodic coordination
UR - http://eudml.org/doc/207517
ER -

References

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  1. Arabas P. and Malinowski K. (1999): Hierarchical system for anti-missile defence. - Proc. Advanced Simulation of Systems Conf., ASIS'99,Krnov, pp.289-294. 
  2. Arabas P., Warchoł M. and Malinowski K. (1999): Model of sectored air defence system. - Proc. 13th Europ. Simul. Multiconf., Warsaw, pp.599-604. 
  3. Ardema M.D., Heymann M. and Rajan N. (1985): Combat games. - J. Optim. Theory Appl., Vol.4, No.44, pp.391-398. Zbl0548.90102
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  7. Parkhideh Sh. and Gafarian A.V. (1996): General solution to many-on-many heterogeneous stochastic combat. - Naval Res. Logist., Vol.4, No.43, pp.937-953. Zbl0864.90079
  8. Piasecki S. (1968): Elements of Destruction Theory. - Warsaw: Military University of Technology (in Polish). 
  9. Piasecki S. and Boratyn W. (1968): Processes of Fight Control. - Warsaw: Military University of Technology (in Polish). 
  10. Przemieniecki J.S. (1994): Mathematical Methods in Defence Analyses. - Washington: Amer. Inst. of Aeronautics and Astronautics, Inc. Zbl0852.90100
  11. Warchoł M. and Malinowski K. (1993): Algorithm for solution of optimization problems under multiple scenarios of uncontrolled outputs. - Proc. 16th IFIP Conf. System Modelling and Optimization, Compiegne, pp.239-242. Zbl0808.49031
  12. Warchoł M. and Malinowski K. (1995): Optimization of system with nondifferentiable performance index under multiple scenarios of uncontrolled inputs. - Proc. 17th IFIP Conf. System Modelling and Optimization, Prague,pp.566-569. 
  13. Zdrodowski B. (1998): Air Defence Fundamentals. - Warsaw: Academy of National Defence (in Polish). 
  14. Zdrodowski B. (1999): Anti-Rocket Defence. - Warsaw: Military University of Technology (in Polish). 

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