Network Analysis Prepared by hanadi Net Workstartend node
Network Analysis Prepared by hanadi
Net. Work(start/end node) A. Draw network? B. Determine the critical path Activity (I, j) Prepared by hanadi Activity Duration (1, 2) A 5 (1, 4) B 4 (1, 5) C 3 (2, 3) D 1 (2, 5) E 2 (2, 6) F 3 (3, 4) G 7 (3, 6) I 9 (4, 6) J 1 (4, 7) K 10 (5, 6) L 4 (5, 7) M 5 (6, 7) N 2
Prepared by hanadi
Prepared by hanadi
Net. Work(Precedence list) A. B. Draw network? Determine the critical path Prepared by hanadi Activities Predecessor A - B - C A D B E C, D F E
Output Prepared by hanadi
Program Evaluation and review Technique PERT Example: Consider the following project that has activities, where the a, m and b time are given in the following table: ü Find Dij, V(Dij) ? ü Find the critical path and its expected and variance Of total duration time of project? activity Solution by QM and Tora A (I, j) (a, m, b) (1, 2) (3, 5, 7) B (1, 3) (4, 6, 8) C (2, 4) (1, 3, 5) D (3, 4) (5, 8, 11) E (4, 5) (1, 2, 3) F (5, 6) (9, 11, 13) Prepared by hanadi
Prepared by hanadi
Prepared by hanadi
Prepared by hanadi
Prepared by hanadi
Prepared by hanadi
Critical path method (CPM) Critical path: It is a sequence of critical activities. The critical path calculation involve • Forward pass: determine the earliest occurrence times of the events. • Backward pass : determine the latest occurrence time of the events( latest completion time). Prepared by hanadi
Prepared by hanadi
Construction of the time schedule • Construction of preliminary schedule for the project. Activities Critical activities Noncritical activities Prepared by hanadi
Critical Activities • An activity (i, j) will be critical if • i= j • ji=Dij Prepared by hanadi
Solution by Tora Open tora select from menu project planning CPM critical method and click enter. Enter activities and durations as the following table: Activity (I, j) Prepared by hanadi Activity Duration (1, 2) A 5 (1, 4) B 2 (1, 5) C 2 (2, 3) D 7 (2, 5) E 5 (2, 6) F 4 (3, 4) G 3 (3, 6) I 10 (4, 6) J 5 (4, 7) K 9 (5, 6) L 4 (5, 7) M 3 (6, 7) N 3
Click on solve problem and select from options CPM bar chart and CPM calculations then we get : • Figure 1: Prepared by hanadi
Determination of the floats Floats : are the slack times available within the • allotted span of the uncritical activity. 1 - Total floats 2 - Free floats Prepared by hanadi
Figure 2: Prepared by hanadi
Red –Flagging Rule: The implication of the rule is that a noncritical activity will be red flagged if its. From previous example Red-Flagging are B and C. Prepared by hanadi
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