Activities with Divergence and Convergence: Greater Risk in Network Paths
PMBOK v8 Definition
Activities with divergence and convergence are at greater risk as they are affected by multiple activities or can affect multiple activities. Activities that have multiple predecessor activities indicate a path convergence, while activities that have multiple successor activities indicate a path divergence. These activities represent points in the project schedule network where multiple paths merge or split, creating increased complexity and risk exposure.
Why It Matters for the Exam
This concept appears frequently in PMI exam questions related to Risk Management and Schedule Management. Questions typically test your ability to identify which activities in a network diagram carry higher risk and why. Expect scenario-based questions where you must recognize that convergence and divergence points create risk amplification due to dependency chains.
Key Points to Remember (for the exam)
- Path Convergence: An activity with two or more predecessors → risk increases because delays from any predecessor path can impact this activity
- Path Divergence: An activity with two or more successors → risk increases because delays at this activity can impact multiple downstream paths
- Risk Mechanism: Divergence/convergence creates multiplied risk exposure – one delay propagates through multiple paths or is caused by multiple sources
- Network Diagram Context: These activities are identified during sequence activities process when creating the project schedule network diagram
- Risk Identification Trigger: When reviewing the network diagram, always flag convergence and divergence points as candidates for risk analysis
- Common Exam Scenario: A question may show a network diagram and ask which activity has the highest risk – look for the activity with the most predecessors or successors
- Summary Narrative Requirement: Any unusual activity sequences, including divergence/convergence, should be fully described in the narrative accompanying the network diagram
Typical PMI Exam Example
Situation: A project schedule network shows Activity I with three predecessor activities (D, E, F) and Activity K with four successor activities (M, N, O, P). The project manager is conducting risk identification.
Question: Which activity should receive priority risk attention?
Answer: Both Activity I (convergence) and Activity K (divergence) are at greater risk. Activity I can be delayed by any of its three predecessors; Activity K can delay all four successors.
PMI Exam Traps
-
Trap: Thinking convergence and divergence are the same risk type
- Reality: Convergence = incoming risk (multiple sources can cause delay); Divergence = outgoing risk (one delay affects multiple paths)
-
Trap: Ignoring the narrative requirement for unusual sequences
- Reality: PMBOK v8 states that unusual activity sequences must be fully described in the summary narrative – exam questions test this documentation requirement
-
Trap: Confusing convergence/divergence with critical path
- Reality: Critical path focuses on longest duration; convergence/divergence focuses on dependency complexity – an activity can be on critical path AND have convergence/divergence risk
-
Trap: Assuming only convergence points need risk attention
- Reality: Both convergence AND divergence points are explicitly called out as greater risk in PMBOK v8
Important PMI Connections
| Related Concept | Relationship Type | Exam Attention Point |
|---|---|---|
| Risk Identification | Trigger for analysis | Convergence/divergence points must be identified as risk sources during iterative risk identification |
| Sequence Activities | Source process | Network diagram creation reveals convergence/divergence points; these are documented in the schedule management plan |
| Schedule Network Analysis | Analysis technique | When performing critical path or float analysis, convergence/divergence points require special attention for schedule risk |
| Risk Register | Output document | Risks identified at convergence/divergence points are recorded in the risk register with cause-event-consequence structure |
| Iterative Risk Process | Ongoing practice | Risk identification at convergence/divergence points should be iterative – revisited as the project evolves and more information becomes available |
Quick Review Questions
-
In a project network diagram, an activity with three predecessor activities is called what type of path point?
-
Why does an activity with multiple successors carry greater risk than an activity with a single successor?
-
What must be included in the summary narrative that accompanies the network diagram regarding unusual activity sequences?
-
A project manager identifies a convergence point in the schedule network. Should this activity be flagged for risk analysis? Why or why not?
-
If Activity X has four predecessors and Activity Y has two successors, which activity is at greater risk according to PMBOK v8?
PMBOK v8 Reference
Section 2.7 - Risk Performance Domain (specifically the discussion of path convergence and divergence within the context of risk identification and schedule network analysis)
Note: The PMBOK v8 content provided in the RAG context discusses this concept in relation to network diagram sequencing and risk identification. The exact section reference aligns with the Risk performance domain coverage in the standard.