Abstract:
The analysis of project planning methods, Gantt chart, Cyclogram, matrix and
network chart, their advantages and disadvantages generated the hypothesis that it may be a new
model that would lack the disadvantages of the Network Matrix and Chart. The Gantt Chart and the
Cyclogram are simple models and are applied after the optimizations made with the help of the
Matrix and the Network Chart. The Matrix has the great advantage of solving the problem of
optimizing the order of inclusion of sectors in the chain and in this way, of reducing the duration of
projects with non-rhythmic processes by 20-25%.
The Matrix does not explicitly reflect the technological and organizational conditions between
activities and is a difficult model to formalize for the automated calculation of resources. The Network
chart reflects these dependencies and can be used for automated resource planning, including time.
For the planning of projects with non-rhythmic chains, a hybrid planning model based on the Matrix
and the Network Graph is examined. The model has the advantages of the Matrix, namely the
possibility of reducing the critical path based on determining the optimal combination of inclusion of
sectors in the chain. The model has the advantage of the Network Chart to perform computerassisted
resource allocation and control. The effectiveness of the models is demonstrated by
simulating the durations of the activities. The procedures for calculating the Network Chart
necessarily provide for fictitious activities. This is a disadvantage of the Network Chart because it
increases the volume and complexity of the calculations and requires additional time to master the
algorithm. It is demonstrated that the hybrid model can be developed without fictitious activities using
the Network Graph with information about node activities. The new model is called MAG, Matrix and
Network Graph. The formulas for calculating the time parameters, including the critical path, are
reflected. Examples are provided for calculating projects with non-rhythmic processes in at least two
sectors.