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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2011 Volume 23, Number 12, Pages 117–131 (Mi mm3188)

Representation of mathematical models of hard real-time communication media for static scheduling problems

I. A. Bychkov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: The issue of this paper is the problem of representation of deterministic mathematical models of hard real time communication media for static scheduling problems. The statement of the static message scheduling problem, in which it is possible to transmit a message service data outside the planning interval, is suggested. The simplified representation method of mathematical models for the set of the communication media under consideration is proposed. Using the proposed method, the parameterized mathematical model of the Fibre Channel Arbitration Loop is described.

Keywords: scheduling theory, static scheduling, mathematical model, communication medium, hard real-time, Arbitration Loop, Fibre Channel.

UDC: 519.876.5

Received: 16.06.2011



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