RESOURCE ALLOCATION IN A PERT NETWORK UNDER CONTINUOUS ACTIVITY TIME- COST FUNCTIONS
MITRE CORP BEDFORD MA
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A conceptual model is described which allocates resources in a PERT network, the activities of which are subject to continuous concave-upward ti e- cost functions, in such a way as to achieve a minimum cost solution for a given completion date for the program described by the network. A parametric solution for the minimum cost solution at various total program times is also briefly described. The effect of uncertainty in the time of completion of an activity has also been investigated in a highly simplified model and a tentative conclusion is presented that such uncertainty tends to divert resources toward the earlier part of the program, as compared to the solution under certainty.
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