Critical Path Analysis

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Presentation transcript:

Critical Path Analysis Example 4.1 textbook pages 93 - 98 Activity duration Shower 3 Dress 8 Fetch car 7 Make breakfast 12 Eat breakfast 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 Dress 8 C Fetch car 7 D Make breakfast 12 E Eat breakfast 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