An algebraic approach to project schedule development under precedence constraints

نویسنده

  • Nikolai Krivulin
چکیده

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. Keywords—Idempotent semiring, Linear equation, Eigenvalue, Eigenvector, Project scheduling, Precedence relations, Flow time

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عنوان ژورنال:
  • CoRR

دوره abs/1210.6508  شماره 

صفحات  -

تاریخ انتشار 2012