An algebraic approach to project schedule development under precedence constraints

Nikolai Krivulin

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arXiv · 1210.6508

An algebraic approach to project schedule development under precedence constraints

Nikolai Krivulin

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Abstract

An approach to schedule development in project management is developed within the framework of idempotent algebra. The approach offers a way to represent precedence relationships among activities in projects as linear vector equations in terms of an idempotent semiring. As a result, many issues in project scheduling reduce to solving computational problems in the idempotent algebra setting, including linear equations and eigenvalue-eigenvector problems. The solutions to the problems are given in a compact vector form that provides the basis for the development of efficient computation procedures and related software applications.

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Nikolai Krivulin. 2012-10-24. An algebraic approach to project schedule development under precedence constraints. https://arxiv.org/abs/1210.6508

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