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Reducing the number of paths in a minimized project-network with given bounds on the durations of activities

Viattchenin D.

Operations Research and Decisions

2015

Vol. 25, No. 4

71--87

This paper deals in a preliminary way with the problem of selecting the smallest possible number of dominant paths in a minimized project-network with given bounds on the permissible values of the durations of activities. For this purpose, a classification technique is proposed. This technique is based on a heuristic possibilistic clustering of interval-valued data. The basic concepts of heuristic possibilistic clustering are defined and methods for preprocessing interval-valued data are described. An illustrative example is considered in detail and some conclusions are formulated.