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Find the constraint: evidence, not the biggest queue

Define goal and boundary. Follow the visual, practise a decision, then check your thinking.

Fictional teaching examples and AI-generated illustrations. Proposed changes and goals are not achieved results. Use the written instructions and check local conditions before applying a method.

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Teaching view 1 of 2

Find the constraint: evidence, not the biggest queue

Method exhibit: Stage A, Stage B, Stage C, Demand.
Original OPEX teaching diagram. Follow the steps below, then try the practice question. View full size ↗

A visible queue is a clue, not a diagnosis. Compare required load with effective capacity over a representative mix and horizon, and observe when processes are starved, blocked or interrupted. In the simple exercise, demand is ten units per hour while stage capacities are twelve, eight and eleven; stage B is the first limiting hypothesis. Real systems need evidence about variability, routing and policies before that conclusion is accepted. The constraint can also be outside the equipment chain, such as demand or an approval rule. Test the hypothesis and recheck it after a material change.

Follow the method

  1. Stage A
  2. Stage B
  3. Stage C
  4. Demand

Read the example carefully

A long queue alone proves nothing.

The constraint may be market or policy, not equipment.

VSM locates delay; OEE helps only with relevant capacity loss.

Teaching view 2 of 2

Test the lowest-rate hypothesis against the real route

A comparison places B at eight units per hour against demand ten while retaining queue-history and operating-state questions.
Original OPEX teaching diagram. Follow the steps below, then try the practice question. View full size ↗

Fictional three-stage route: A, B and C have supplied comparable effective capacities of 12, 8 and 11 units per hour. Demand is 10 per hour. A snapshot shows the largest visible queue before C, but planner Eli must identify what limits sustained route output under the stated model.

Follow the method

  1. Lowest comparable rate
  2. Demand relation
  3. Largest queue
  4. Observed mechanism
  5. Improvement claim

Read the example carefully

Investigate and test the release/readiness mechanism before assuming more B equipment will solve the loss.

Average capability and timely availability are different. The actual limiting condition may be how work reaches B.

Apply the method

The largest queue is a clue, not the conclusion

Use comparable demand and capacity evidence to form a constraint hypothesis, then test it against actual starvation, blocking, quality and release conditions.

Fictional three-stage route: A, B and C have supplied comparable effective capacities of 12, 8 and 11 units per hour. Demand is 10 per hour. A snapshot shows the largest visible queue before C, but planner Eli must identify what limits sustained route output under the stated model.

Role: System analyst working with all three process owners.

Normal condition

The constraint hypothesis explains system delivery within a defined route, mix and period.

The gap

The team assumes the largest current pile must identify the constraint, without checking its release history.

  • Single route, comparable effective capacities, stable stated mix and available demand are supplied assumptions.
  • The snapshot does not prove steady-state behavior or identify the cause of any capacity loss.
Supplied case inputs
InputSupplied value
Demand10 units/hour
Stage A capacity12 units/hour
Stage B capacity8 units/hour
Stage C capacity11 units/hour
Queue snapshotLargest visible queue before C; history unknown
Required observationStarvation, blocking, quality loss, mix and release
  1. Fix the comparison boundary

    Eli confirms that all three capacities refer to the same product route and effective working period. He checks that customer demand is actually available.

    Why: Nameplate rates, different mixes or different calendars cannot be compared as if they represent the same opportunity.

    Evidence: Like-for-like model: 12 / 8 / 11 against demand 10 units/hour.

  2. Form the first hypothesis

    B at eight units per hour is the lowest supplied rate and below demand. Under the stated assumptions, it is the first internal constraint hypothesis and the modeled gap is two units per hour.

    Why: The arithmetic narrows investigation; it does not by itself establish why B performs at that rate or prove real operating behavior.

    Evidence: Initial model limit 8/hour; demand gap 2/hour.

  3. Explain the queue without guessing

    Inspect when the queue before C arrived, whether it contains held or off-route work, and how release batches were scheduled. Record its age and eligibility.

    Why: A queue can reflect earlier releases, quality holds or a temporary event. Its size at one moment does not replace a rate and flow history.

    Evidence: Queue explanation remains open until arrival, status and service history are checked.

  4. Observe the candidate’s actual conditions

    Record whether B has ready eligible work, required resources and downstream space. Separate its processing losses from time starved by upstream information or blocked by downstream problems.

    Why: The limiting condition may be a policy, supply or quality issue rather than B’s equipment itself. Improvement must address the actual mechanism.

    Evidence: Observation log distinguishes working, starved, blocked and abnormal states with causes to investigate.

  5. Revise the hypothesis when evidence changes

    Compare sustained accepted output and demand after a controlled change. If another condition now limits the system, update the focus and supporting rules.

    Why: A constraint label is not permanent property of a machine. Persisting with an obsolete label is a decision error.

    Evidence: System output, demand basis and current evidence support the next decision.

Completed evidence-based hypothesis
QuestionEvidenceConclusion
Lowest comparable rateB = 8/hourInitial internal hypothesis
Demand relation10 required versus 8 modeledGap 2/hour
Largest queueBefore C; history unknownInvestigate, do not infer
Observed mechanismNot yet suppliedCollect state and cause record
Improvement claimNo trial outcome suppliedKeep provisional

B is repeatedly starved

Observation shows B often has no ready material because an upstream release rule batches work late, despite A’s average capacity exceeding B’s.

Investigate and test the release/readiness mechanism before assuming more B equipment will solve the loss.

Average capability and timely availability are different. The actual limiting condition may be how work reaches B.

Time-stamped starvation and release evidence guide the revised hypothesis.

The slowest stage still has spare capacity

Separate fictional route: X, Y and Z can effectively process 18, 15 and 20 units per hour for the declared mix. Current demand is 12 per hour; a second planning scenario raises demand to 18.

Changed practice inputs
InputValue
X / Y / Z18 / 15 / 20 units/hour
Current demand12/hour
Changed demand18/hour

Your task

  1. State whether Y is binding against current demand under the model.
  2. Identify the first internal hypothesis and gap under changed demand.
  3. Name two observations needed before deciding an equipment investment.

Prepare your worksheet

  • Comparable rate basis
  • Demand boundary
  • Slowest versus binding distinction
  • Observed loss states
  • Provisional decision
Reveal the answer and reasoning

At demand 12, all supplied capacities exceed demand. Y is slowest but not a binding internal capacity limit against that demand.

At demand 18, Y at 15 becomes the first internal hypothesis, with a modeled gap of three units per hour.

Check actual mix, readiness, starvation, blocking, quality and policy effects; a capacity purchase requires evidence of the remaining limitation.

Worked answer record
ScenarioComparisonConclusion
Demand 12Y 15 exceeds 12No modeled internal shortfall
Demand 18Y 15 below 18Hypothesis Y; gap 3/hour
InvestmentMechanism unknownObserve before committing

Check these interpretations

  • The biggest queue is not conclusive constraint evidence.
  • The slowest stage need not limit sales when demand is lower.

Check your work

  • Use demand in the comparison.
  • Retain assumptions and unknown causes.
  • Choose observations capable of changing the hypothesis.

Run a practice session

Materials

  • Three stage-rate cards, two demand cards and a queue snapshot
  • State observation sheet
  1. Set the boundary · 4 minutes

    Are these rates genuinely comparable?

  2. Choose the first hypothesis · 7 minutes

    Why is the largest queue not enough?

  3. Apply the demand-change variant · 9 minutes

    What makes a slow stage become binding?

  4. Plan observation · 5 minutes

    Which state would suggest an upstream policy problem?

Debrief

  • Challenge unsupported claims from one snapshot.
  • Ask learners to name the evidence that would change their mind.

Write assumptions before computing the rate comparison, then choose observations that test the suspected mechanism.

Transfer into the work

Owner: System owner with process and planning representatives

Record: Demand/capacity comparison and time-stamped state observations

Review: After representative observation and every material demand/mix/process change

Evidence: An explanatory hypothesis consistent with accepted delivery and loss states

Revisit the boundary, data comparability or policy mechanism before adding capacity.

Build on reliable methods

Sources and further reading

  • TOCICO: Introduction to TOC ↗

    Define system goal/metrics, constraints and rules before intervention; public synopsis only

    Public course synopsis only; no claim to have viewed restricted course content.
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