Draw AOA & AON Problem 1 Task Predecessor A B D A E A,B F DE G Draw AOA & AON Problem 2 Task Predecessor A A B,E D E A,D F G F Draw AOA & AON Task Predecessor Problem 3 A B A C A D A E F G B,C E,D F,G H Draw AOA & AON Task Problem 4 Predecessor A B - A D A,B E F G DE F,G H Task Predecessor Time (days) 20 A B Problem 6 20 10 15 D A 1. Draw AON 2. Identify all the Path 3. Identify the Critical Path 4. Draw GANTT Chart E 10 F B,C B,C B,C 14 G 4. H 11 I 18 GH DE J 8 Draw AOA & AON Task Predecessor Problem 5 A B A C A D B E F G H D,E F,E Task Predecessor A Time (days) 9 2 B A Problem 7 8 D C 8 E B,D 7. 1. Draw AON 2. Identify all the Path 3. Identify the Critical Path 4. Draw GANTT Chart F E 4 G H B,D,G 3 I J I 10 K G,J H,K 3 6 L Task Predecessor Time (days) 10 A B A,E 9 Problem 8 C BM 15 D 7 E 5 1. Draw AON 2. Identify all the Path 3. Identify the Critical Path 4. Draw GANTT Chart F A,E 6 G K,F 7 H G 12 I - 12 J E,I 4 K FJ 11 L K 8 M EI 7 Task Predecessor Time (days) A Problem 9 B A 6 A D B 1. Draw AON 2. Identify all the Path 3. Identify the Critical Path 4. Draw GANTT Chart 3 6 14 E D F G E, F 2 H G I G J HI 3 4 2 K J Problem 10: Given time Task Precedence Relation a m b None 9 12 15 B None 5 9 13 A 8 10 12 D B 7 9 17 E B 18 23 34 F A 9 9 15 G 30 35 40 H D 35 39 49 I A 12 15 18 J E,G,H 3 3 9 K FIJ 7 9 11 What is the chance of completing the project by 70 and 78 time units? 11 Problem 11: Given time Task Precedence Relation a m b A None 0.5 1 2 B A 1 2 3 A 1 3 5 D B 3 4 5 E 2 3 4 F 3 5 7 G D.E 4 5 6 H F 6 7 8 I GH 2 4 6 J G H 5 6 8 K I 1 2 3 L 7 J 3 5 What is the chance of completing the project by 25 and 30 time units? 12 Problem 12: Given time Task Precedence Relation a m b A None 1 2 3 B A 1 3 5 A 2 3 10 D B 2 5 8 E D 1 2 3 F. B,C 1 1 1 G B,C 1 1 1 H F 1 3 5 I F G 2 4 6 J HI 1 5 9 What is the chance of completing the project by 12 and 20 time units? 13 Task Precedence Relation a m b A None 8 10 18 Problem 13 B A 5 7 9 C B 14 18 22 D B 2 3 4 E C 7 9 11 F D 7 9 11 G E 7 9 11 H E 4 6 8 I E 4 5 6 J I 12 15 18 K F G 2 3 4 L KH 8 10 12 M J.L 20 28 36 N J.L 8 10 18 o N 6 8 10 P M,O 15 19 23 Q 16 20 36 What is the chance of completing the project by 130 and 140 time units? 14