The University of Sydney · FACULTY OF PROJECT MANAGEMENT

PMGT5889 Chap.4 Network Logic and the Critical Path

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Chapter 4 of 12 · PMGT5889

Network Logic and the Critical Path

Define activity network

Network Logic and the Critical Path frames a decision through activity network, critical path and total float.

The objective is to calculate earliest and latest times and explain which dependency or duration drives completion, so the chapter should be read as a chain from problem definition to evidence, option comparison and accountable action.

Start with activity network and name the decision owner, affected stakeholders and time horizon.

The same activity network fact can matter differently across those positions, so the opening frame determines which evidence is relevant.

Use critical path to explain how the present condition produces an opportunity, cost or risk. A strong critical path mechanism states what changes, for whom and through which organisational, market or institutional process.

Apply total float when comparing options.

Keep the total float criteria distinct, test trade-offs and ask which assumption drives the recommendation. A score or matrix helps only when its criteria are justified by the case.

Critical path method

In PMGT5889, critical path method belongs with activity network and critical path because students use it to calculate earliest and latest times and explain which dependency or duration drives completion.

A defensible use of critical path method should define the term, connect it to the case evidence and test the conclusion through total float; repeating the phrase without that chain does not demonstrate understanding.

Trace critical path

For the application — calculate earliest and latest times and explain which dependency or duration drives completion — finish with an actor, action, rationale and review trigger.

This turns the total float analysis into a recommendation while keeping the decision open to new evidence.

Build a decision ledger. Separate the current condition, the stakeholder affected, the evidence supporting activity network, the mechanism represented by critical path and the criterion supplied by total float.

If a total float recommendation cannot point back to one of those entries, it is probably preference dressed as analysis rather than a consequence of the case.

Compare at least two feasible options against the same criteria. State who benefits under total float, who bears cost or risk, what capability implementation requires and what evidence would reveal failure.

This comparison is essential when students need to calculate earliest and latest times and explain which dependency or duration drives completion, because an attractive option is not defensible until its trade-offs are visible.

Rehearse the PMGT5889 activity network response as a short briefing: one sentence for the decision, two for the evidence and mechanism, one for the alternative and one for the qualified recommendation.

Then expand only the critical path move that needs more support. This protects the argument structure under a strict word or time limit.

Test with total float

A complete response should make the task visible before the detail: identify what must be decided, define the relevant terms, connect the evidence to critical path, and use total float to test the result.

The final sentence about total float should answer the question actually asked rather than merely repeat the topic.

The controlling limit is specific: Criticality can change when durations, calendars, logic or constraints change.

Keep that total float limit beside the worked example, because it separates a careful PMGT5889 answer from one that sounds confident but claims more than the task or evidence supports.

For revision, retrieve activity network, critical path and total float without notes, explain their relationship aloud, then complete a changed version of the application: calculate earliest and latest times and explain which dependency or duration drives completion.

Record the first failed critical path reasoning move and repair it before attempting another case.

In this chapter

What this chapter covers

  • 01

    activity network

  • 02

    critical path

  • 03

    total float

  • 04

    Applying activity network

  • 05

    Limits of critical path and total float

Worked example · free

AskSia practice: apply Network Logic and the Critical Path

Q [4 marks]. AskSia-authored four-point reasoning drill: how should a student calculate earliest and latest times and explain which dependency or duration drives completion? This is not a University question or marking scheme.
  • 1Define activity network in the scenario.
  • 1Explain the mechanism using critical path.
  • 1Test the conclusion with total float.
  • 1State a qualified decision and review signal.
A strong response identifies the relevant evidence, uses critical path as the explanatory link and tests the recommendation through total float. It ends by stating that criticality can change when durations, calendars, logic or constraints change.
Sia tip — The four points are AskSia-authored practice weighting only.
Glossary

Key terms

activity network
A dependency model showing project activities and the logical relationships that constrain their sequence. Use this definition when the task is to calculate earliest and latest times and explain which dependency or duration drives completion.
critical path
The longest-duration path through a network that determines earliest project completion under the stated assumptions. Use this definition when the task is to calculate earliest and latest times and explain which dependency or duration drives completion.
total float
The time an activity can be delayed without delaying the project's calculated completion date. Use this definition when the task is to calculate earliest and latest times and explain which dependency or duration drives completion.
FAQ

Network Logic and the Critical Path FAQ

What is the main task in Network Logic and the Critical Path?

Calculate earliest and latest times and explain which dependency or duration drives completion.

How do activity network and critical path work together?

Use activity network to establish the object or condition, then use critical path to explain how it changes the outcome being analysed.

What must a PMGT5889 answer qualify here?

Criticality can change when durations, calendars, logic or constraints change.

How should I revise Network Logic and the Critical Path?

Retrieve activity network, critical path and total float, apply them to a changed case, and correct the first point where the evidence no longer supports the conclusion.

Study strategy

Assessment move

Reconstruct the relationship among activity network, critical path and total float; complete the chapter application without notes; then test the result against this limit: Criticality can change when durations, calendars, logic or constraints change.

Working through Network Logic and the Critical Path in PMGT5889? Sia is AskSia’s AI Project Management tutor — ask any PMGT5889 Network Logic and the Critical Path question and get a clear, step-by-step explanation grounded in how PMGT5889 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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