%0 Journal Article
%T An algebraic approach to project schedule development under precedence constraints
%A Nikolai Krivulin
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1210.6508v1