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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...

Simultaneous routing and flow rate optimization in energy-aware computer networks

Przemysław JaskółaPiotr ArabasAndrzej Karbowski — 2016

International Journal of Applied Mathematics and Computer Science

The issue of energy-aware traffic engineering has become prominent in telecommunications industry in the last years. This paper presents a two-criteria network optimization problem, in which routing and bandwidth allocation are determined jointly, so as to minimize the amount of energy consumed by a telecommunication infrastructure and to satisfy given demands represented by a traffic matrix. A scalarization of the criteria is proposed and the choice of model parameters is discussed in detail. The...

Maintaining the feasibility of hard real-time systems with a reduced number of priority levels

Muhammad Bilal QureshiSaleh AlrashedNasro Min-AllahJoanna KołodziejPiotr Arabas — 2015

International Journal of Applied Mathematics and Computer Science

When there is a mismatch between the cardinality of a periodic task set and the priority levels supported by the underlying hardware systems, multiple tasks are grouped into one class so as to maintain a specific level of confidence in their accuracy. However, such a transformation is achieved at the expense of the loss of schedulability of the original task set. We further investigate the aforementioned problem and report the following contributions: (i) a novel technique for mapping unlimited...

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