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Here's the forward pass.
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We start at the beginning and scan forward
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to find the earliest everything can start and finish.
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Remember, for the forward pass, if a deliverable has more
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than one predecessor, we copy the greatest, earliest finish
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of all the predecessors to the deliverable's earliest start.
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Then we add the earliest start and the duration
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to get the deliverable's earliest finish.
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And we write these numbers on the top
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of the deliverable to keep track of them.
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We start at day zero because of the way addition works.
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So the earliest day the kickoff meeting can start
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is immediately after day zero.
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Since we are going forward, we add numbers, and the duration
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of the kickoff meeting is one day,
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so the earliest day it can finish
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is zero plus one or day one.
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We write the earliest start at the top left
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and the earliest finish at the top right of the deliverable.
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Now let's look at the new floor plan first draft.
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It only has one predecessor, so we simply copy
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over the earliest finish of the kickoff meeting day one
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as the earliest day after which
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the new floor plan first draft can start.
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The new floor plan first draft is four days in duration
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so the earliest it can finish is one plus four or day five,
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and we record that on the top right of the deliverable.
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Now we can't go forward to the executive review yet
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because it has two predecessors,
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including the new department processes first draft.
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So we need to know the earliest
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the new department processes first draft can finish.
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Once again, we copy over the earliest finish
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of the kickoff meeting day one as the earliest start
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for the new department processes first draft.
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The new department processes first draft are ten days
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in duration so the earliest they can finish
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is one plus 10 or day 11,
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and we write that on the top right.
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Now we can move forward to the executive review.
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If you get this step, you get it all.
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According to the logic of the project,
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we can't start the executive review until both
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of the predecessors are finished:
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the new floor plan first draft
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and the new department processes first draft.
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One might be finished; good for them.
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But they both have to be finished
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to start the executive review.
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So what's the earliest day
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after which the executive review can start?
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It's the greatest of the predecessors' earliest finishes,
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which is day 11
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for the new department processes first draft.
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At this point, the new department processes first draft
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are what's driving the schedule
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and determining the earliest the executive review can start.
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This is the key concept of the critical path process.
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So we simply carry this process on, at each step
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copying the predecessor's greatest, earliest finish
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to the next deliverable's earliest start,
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determining the longest path through the project,
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and so how long the whole project will take.
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For example, you can see the executive approval
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can start no earlier than one day after day 22
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because it has to wait for its longest predecessor,
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the finish of the one-page FAQ.
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Similarly, along the bottom, the training manual first draft
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can start no earlier than one day
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after day 12 because it has to wait
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for the finish of the executive review.
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And the training manual second draft can start no earlier
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than one day after day 23 because it needs completion
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of the executive approval.
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By carrying forward this process to the end of the project,
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we calculate that the longest path
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through the project is 34 days.
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The project can't be done any faster than that
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since there are 34 days of back-to-back work
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on the critical path.
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Now, you could probably see the critical path
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that is driving this 34-day schedule.
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But let's do the backwards path so we understand
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in our bones how the critical path is determined
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and can calculate the float of the rest of the deliverables.
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