# AOA (Activity-on-Arrow) Diagram Below, I'll describe how to construct an AOA (Activity-on-Arrow) network for the activities and their dependencies. ## ** 1: Activities and DependenciesFrom the table: | Activity | Immediate Predecessor(s) | |----------|-------------------------| | A | — | | B | — | | C | A | | D | A | | E | B | | F | B | | G | C, E | | H | D, F | ## **Step 2: Draw the AOA Diagram** In AOA, **arrows** represent activities, and **nodes** (circles) represent events (start or completion points). ### **Basic Steps:** 1. **Start Node (1):** Connect to A and B (as they have no predecessors). 2. **From A:** Draw arrows to: - C - D 3. **From B:** Draw arrows to: - E - F 4. **From C & E:** Both are predecessors to G. So, G starts only after both C and E are done. 5. **From D & F:** Both are predecessors to H. So, H starts only after both D and F are done. ### **AOA Diagram Structure:** Below is a simple ASCII-style representation: ``` [Start] | --------- | | [A] [B] | | ---- ----- | | | | [C] [D] [E] [F] | | | \ / \ [G] [H] ``` But in an AOA, we use arrows for activities and circles for events. Here’s a stepwise breakdown: #### **AOA Steps** - Node 1 (Start) → **A** → Node 2 - Node 1 (Start) → **B** → Node 3 - Node 2 → **C** → Node 4 - Node 2 → **D** → Node 5 - Node 3 → **E** → Node 6 - Node 3 → **F** → Node 7 - Node 4, Node 6 → **G** (dummy arrow from one to synchronize if needed) → Node 8 - Node 5, Node 7 → **H** (dummy arrow if needed) → Node 9 #### **AOA Diagram (Text Representation)** ``` (1)---A---(2)---C---(4) | \ / | D / | \ / | (5) | / B / | / (3)--E--(6)--G--(8) | / F / | / (7)----H----(9) ``` ### **Notes:** - Sometimes, "dummy activities" (dotted arrows) are added to clarify dependencies; they have zero duration. - In drawing tools (like MS Visio or by hand), use arrows for activities, and circles for events. --- ## **Summary Table for Events** | Event | Activities Out | Next Event(s) | |-------|---------------|---------------| | 1 | A, B | 2, 3 | | 2 | C, D | 4, 5 | | 3 | E, F | 6, 7 | | 4 | G | 8 | | 5 | H | 9 | | 6 | G | 8 | | 7 | H | 9 | | 8 | | | | 9 | | | --- ## **Visualization Tip** If you need a visual diagram, you can create this using drawing tools or project management software. But the logic above gives you the connections needed for the AOA format. --- **Let me know if you'd like a hand-drawn sketch or a diagram in another format!**