GERT Networks and the Time-Oriented Evaluation of Projects

Summary of Assumptions -- 1 Basic Concepts -- 1.1 Directed Graphs and Activity Networks -- 1.2 GERT Networks -- 1.3 Assumptions Required for GERT Networks -- 1.4 Evaluation of GERT Networks -- 1.5 Subnetworks of GERT Networks -- 2 STEOR Networks -- 2.1 Stochastic Processes Connected with STEOR Networks -- 2.2 The MRP Method for the Evaluation of STEOR Networks -- 2.3 The Numerical Implementation of the MRP Method -- 2.4 The MASON Rule -- 2.5 Earliest and Latest Times in STEOR Networks -- 2.6 Applications -- 3 GERT Networks with Basic Element Structures -- 3.1 Nodes Which Belong Together -- 3.2 Basic Elements -- 3.3 Basic Element Structures -- 3.4 Evaluation of Admissible Basic Element Structures -- 3.5 Determination of Admissible Interior Basic Element Structures -- 3.6 Applications -- 4 Evaluation of General GERT Networks -- 4.1 Cycle Reduction -- 4.2 Evaluation of an Acyclic GERT Network N -- 4.3 Applications -- 4.4 Replacement of Non-genuine IOR Nodes -- 5 Multiple Activations of Non-STEOR Nodes -- 5.1 Generalized GERT Networks and Closed Subnetworks -- 5.2 Assumptions Required for Generalized GERT Networks -- 5.3 Evaluation of Generalized GERT Networks -- 5.4 Applications -- 6 GERT Networks with Time-dependent Arc Weights -- 6.1 Basic Concepts -- 6.2 STE0R Networks -- 6.3 GERT Networks with Basic Element Structures -- 6.4 General GERT Networks -- 7 Simulation -- 7.1 GERTS Networks and Equivalent GERT Networks -- 7.2 GERTS Networks Which Do Not Have Corresponding GERT Networks -- 7.3 Simulation of GERTS Networks -- 7.4 Generalized GERTS Networks -- 7.5 A Universal Method for Evaluating Admissible GERT Networks -- A.1 Some Formulas from Probability Theory -- A.2 Stochastic Processes -- A.3 Precise Formulation of Assumption A3 -- References.