01 · Recognize

Operations & capacity

How do we improve output, service or cost?

You are in this case when

  • Queues, delays, utilization or throughput appear in the prompt.
  • The client wants more from the same assets before buying new ones.

02 · Structure

Which drivers matter?

How do we improve output, service or cost?
  1. 01

    Process

    Map the steps

    Cycle times, handoffs, queues and the bottleneck.

  2. 02

    Capacity & economics

    Demand vs capacity

    Utilization, labor, yield, downtime and the cost of one more unit of capacity.

  3. 03

    Improve & implement

    Fix the constraint

    Scheduling, maintenance, quality, outsourcing or investment, in that order of cost.

Utilization = actual output ÷ available capacity (same period, same units)

03 · Solve

Work the scratch sheet.

Illustrative practice scenarioA clinic has three exam rooms. A visit takes 20 minutes and the day is 8 hours. Demand is 60 visits a day. One intake desk checks in 6 patients an hour.

  1. Room capacity3 rooms × (480 ÷ 20) = 72 visits a day
  2. Room utilization60 ÷ 72 = 83.3%
  3. Intake capacity6 × 8 = 48 patients a day, below demand of 60
  4. Fix the constraintA second intake desk lifts intake to 96; rooms at 72 become the next limit

Patients queue at the desk, not the rooms. Adding a fourth room changes nothing; one more intake desk raises throughput to the room limit of 72.

Work backward from an answer

If the answer is “add capacity”, the bottleneck must be the thing you are adding. So find the constraint before pricing the expansion.

04 · Recommend

Make the call in three buckets.

Answer

Add a second intake desk, not a fourth room.

Because · ties to the hypothesis

Intake handles 48 patients a day against demand of 60; rooms sit at 83% and are not the limit.

Next steps & risks

Measure wait time for two weeks after the change. Risk: the constraint moves to the rooms at 72 and the next ask is a room.

“I would locate the system constraint before adding capacity anywhere.”

Watch for: Speeding up a step that is not the bottleneck adds nothing. High utilization makes queues worse when demand varies.

Original Harper practice examples; every figure is illustrative. Adapt the questions to the client’s objective, timing and constraints.