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A construction contractor employs a given force of skilled workers and has a limited set of specialized machinery. There are a number of categories of skilled workers as well as a number of classes of specialized machinery. The contractor has a number of construction projects underway and has committed the company to completion dates for each of them. Certain job items (activities) are common to the various project and require the same inputs of labor and equipment. The activities occer on various dates throughout the time span from project start to project completion.
However, the constructor does not have enough labor and equipment to work on these job items on the same day on all projects. Hence, the constructor wants to schedule (stagger) the specialized work force and specialized equipment on the project so that ideally no labor or equipment shortages exist on any day and so that each project is done on time. If any shortages do exist, extra costs must be incurred for temporary workers or for equipment. A predetermined payment has already been received for each project. Now, the contractor wants to keep construction costs to bare minimum.
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