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Critical Path Analysis Activity duration Shower3 Dry hair8 Fetch car7 Iron clothes12 Dress and make-up10 Drive to interview20 Example 4.1 textbook pages 101 - 106

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Precedence table Activity Immediately preceding activities duration AShower-3 BDry hairA8 CFetch car-7 DIron clothes-12 EDress and make-upB,D10 FDrive to interviewC,E20 The last activities that must be completed before an activity can begin

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Activity on Arc Network A(3) D(12) B(8) E(10) C(7) F(20) 15 4 3 2 The network will build up with each mouse click, in the order you would construct it on paper.

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Event Times A(3) D(12) B(8) E(10) C(7) F(20) 15 4 3 2 Earliest event time EET Latest event time LET Each event node needs two boxes, to mark in the event times.

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Earliest Event Times A(3) D(12) B(8) E(10) C(7) F(20) 15 4 3 2 0 3 12 22 42 To find EETs, work forwards through the network from the start node to the finish node. The EET for an event occurs when all activities leading into that event are complete.

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Latest Event Times A(3) D(12) B(8) E(10) C(7) F(20) 15 4 3 2 3 0 12 22 42 22 12 4 0 To find LETs, work backwards through the network from the finish node to the start node. The LET for an event is the latest it can occur without delaying subsequent events.

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Critical Activities A(3) D(12) B(8) E(10) C(7) F(20) 15 4 3 2 34 00 12 22 42 Critical activities are activities that cannot run late. For critical activities: Latest finish Earliest start = length of activity The green arrows mark the critical activities, which form the critical path. The critical path(s) must form a continuous route from the start node to the finish node.

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Float Total Float latest finish – earliest start – length of activity Independent Float earliest finish – latest start – length of activity Interfering Float Total float – Independent float TotalIndependentInterfering A B C It is useful to represent float in a table.

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Float (answers) TotalIndependentInterfering A101 B101 C15 0 Hint: Total is maximum possible float so take outside no.s Independent is minimum possible float so take inside no.s

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