Abstract
A production system is studied in which thousands of activities are
carried out concurrently subject to precedence constraints and limitations
on resources such as skilled labor and equipment. Ideally, management
proposes a set of milestone dates, obtains an analysis of which milestones
cannot be met, and determines which resources are underused or overused.
This process continues interactively until milestones, consistent
with management’s objectives, are obtained. The authors
derive, from elementary principles and basic assumptions (axioms),
a continuous-time model of project execution at an aggregate level
of detail. The model is approximated via a set of linear inequalities.
This data structure can be manipulated easily and quickly by methods
of linear programming to perform the required analysis.
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