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A rule for slack allocation proportional to the duration in a PERT network
Authors:Javier Castro  Daniel Gómez  Juan Tejada
Institution:1. Dpto. de Estadística e I.O., III. Escuela Universitaria de Estadística, Complutense University, Avda. Puerta de Hierro, s/n. 28040 Madrid, Spain;2. Dpto. de Estadística e I.O., I. Facultad de Matemáticas, Complutense University, Avda. Complutense, s/n. 28040 Madrid, Spain
Abstract:In this paper, we define a new rule for the resolution of the slack allocation problem in a PERT network. This problem exists of allocating existing extra time in some paths among the activities belonging to those paths. The allocation rule that we propose assigns extra time to the activities proportionally to their durations in such a way that no path duration exceeds the completion time of the whole project. This time allocation enables us to make a schedule for the PERT project under study. We give two characterizations of the rule and we compare it with others that have been previously defined in the literature.
Keywords:Project management  Project scheduling  Slack allocation  PERT  Proportional rule
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