Chapter 8, Problem 3E

Compute the early, late, and slack times for the activities in the network that follows, assuming a time-constrained network. Which activities are critical? What is the time-constrained project duration?

Note: Recall, in the schedule resource load chart the time-constrained scheduling interval (ES through LF) has been shaded. Any resource scheduled beyond the shaded area will delay the project.

Assume you have only three resources and you are using a computer that uses software that schedules projects by the parallel method and following heuristics. Schedule only one period at a time!

Minimum slack

Smallest duration

Lowest identification number

Keep a log of each activity change and update you make each period—e.g., period 0-1, 1-2. 2-3, etc. (Use a format similar to the one on page 259.) The log should include any changes or updates in ES and slack times each period, activities scheduled, and activities delayed. (Hint: Remember to maintain the technical dependencies of the network.) Use the resource load chart to assist you in scheduling (see figures 8.4 and 8.5).

List the order in which you scheduled the activities of the project. Which activities of your schedule are now critical?

Recompute your slack for each activity given your new schedule. What is the slack for activity 1? 4? 5?