Critical Path Analysis

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Presentation transcript:

Critical Path Analysis Example 4.1 textbook pages 101 - 106 Activity duration Shower 3 Dry hair 8 Fetch car 7 Iron clothes 12 Dress and make-up 10 Drive to interview 20

Immediately preceding activities Precedence table The last activities that must be completed before an activity can begin Activity Immediately preceding activities duration A Shower - 3 B Dry hair 8 C Fetch car 7 D Iron clothes 12 E Dress and make-up B,D 10 F Drive to interview C,E 20

Activity on Arc Network 2 B(8) A(3) D(12) 1 3 5 E(10) F(20) C(7) 4 The network will build up with each mouse click, in the order you would construct it on paper.

Event Times 2 B(8) A(3) D(12) 1 3 5 E(10) F(20) C(7) Each event node needs two boxes, to mark in the event times. 2 B(8) A(3) D(12) 1 3 5 E(10) F(20) C(7) Earliest event time EET Latest event time LET 4

Earliest Event Times 3 2 B(8) A(3) 42 12 D(12) 1 3 5 E(10) F(20) C(7) The EET for an event occurs when all activities leading into that event are complete. 3 2 B(8) A(3) 42 12 D(12) 1 3 5 E(10) F(20) C(7) 4 22 To find EETs, work forwards through the network from the start node to the finish node.

Latest Event Times 3 42 12 4 22 42 12 22 2 B(8) A(3) D(12) 1 3 5 E(10) The LET for an event is the latest it can occur without delaying subsequent events. 3 4 2 B(8) A(3) 42 42 12 12 D(12) 1 3 5 E(10) F(20) C(7) 4 22 22 To find LETs, work backwards through the network from the finish node to the start node.

Critical Activities 3 4 42 12 22 2 B(8) A(3) D(12) 1 3 5 E(10) F(20) Critical activities are activities that cannot run late. For critical activities: Latest finish — Earliest start = length of activity 3 4 2 B(8) A(3) 42 12 D(12) 1 3 5 E(10) F(20) C(7) 4 22 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.

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

Float (answers) Total Independent Interfering A 1 B C 15 B C 15 Hint: Total is maximum possible float so take “outside” no.s Independent is minimum possible float so take “inside” no.s