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Periodic coordination in hierarchical air defence systems

Piotr ArabasKrzysztof Malinowski — 2001

International Journal of Applied Mathematics and Computer Science

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...

Object library of algorithms for dynamic optimization problems: benchmarking SQP and nonlinear interior point methods

Jacek BłaszczykAndrzej KarbowskiKrzysztof Malinowski — 2007

International Journal of Applied Mathematics and Computer Science

The main purpose of this paper is to describe the design, implementation and possibilities of our object-oriented library of algorithms for dynamic optimization problems. We briefly present library classes for the formulation and manipulation of dynamic optimization problems, and give a general survey of solver classes for unconstrained and constrained optimization. We also demonstrate methods of derivative evaluation that we used, in particular automatic differentiation. Further, we briefly formulate...

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