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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010 Issue 5(21), Pages 204–211 (Mi vsgtu811)

This article is cited in 3 papers

Mathematical Modeling

Properties of Graphs of Problems Network Planning and Management

A. V. Dokuchaev, A. P. Kotenko

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara

Abstract: Properties of a task graph of an optimum investment are considered the additional limited resource for reduction of a critical way of the network project at non-uniform marking change of arches graph of the project. The algorithm construction of the count of the project on the set matrix of precedence of works is offered. The algorithm reduction lists of technological precedence of works of the project to lists of direct precedence by correct ordering is developed. Examples of addition fictitious works are resulted and reception minimization of necessary number of fictitious works for simplification of the count the project is specified. It is shown that, on an extreme measure, with addition of fictitious works, columns of the project it will be constructed.

Keywords: problems of network planning and management, lists of predecessors, graph of the project, minimization of the required number of dummy jobs.

UDC: 519.876.3, 519.857

MSC: 90B10, 90C39

Original article submitted 02/VII/2010
revision submitted – 30/IX/2010

DOI: 10.14498/vsgtu811



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