A service can become faster at one step while patients wait longer overall. Shortening the time spent in reception does little for someone who has waited six weeks to get an appointment.
In a diagnostic-service case, I would first define the start and finish of the waiting clock. Then establish whose waits count and what improvement the client needs. Those choices determine which part of the process deserves attention.
Pin down what “waiting” means
Here is a fictional case:
A regional diagnostic centre wants to shorten waits for routine scans without increasing its annual operating budget.
A useful opening is:
“Does waiting time mean the period from referral to completed scan, or the time patients spend at the centre on the day?”
The interviewer answers:
“From the referral being received to the scan being completed. By year-end, at least 90% of routine patients should complete that journey within four weeks, up from 60%.”
This gives you an end-to-end interval, a target population, a threshold and a deadline. You should now examine the journey from referral receipt through booking to the completed scan.
Define when the waiting-time clock starts and stops. This example uses the four-week target and measurement boundary supplied by the fictional interviewer; establish the measure you have actually been asked to improve.
Quick Case Opening Drill
A hospital eye clinic receives complaints about long waits. You ask how waiting is measured, and the interviewer says the clock runs from arrival at reception to leaving the clinic.
| Step | Typical time |
|---|---|
| Referral to booked appointment | 6 weeks |
| Check-in and eye tests | 25 minutes |
| Waiting to see the consultant | 70 minutes |
Under that definition, which step should your analysis examine first?
Ask which capacity can change
A centre may reserve capacity for urgent patients. Moving routine patients into those slots could improve one result while harming another.
Ask:
“Must urgent patients retain their current access, and can we change how routine appointments are scheduled within the existing budget?”
Suppose urgent access must stay unchanged, while routine scheduling can be redesigned. You have a useful operating boundary. You can investigate unused routine slots, booking delays, cancellations and the coordination of staff and equipment. You cannot claim success by reducing the access reserved for urgent care.
Clinical prioritisation remains with the appropriate clinical team. Your task is to analyse the service process within the conditions the case gives you.
Carry the definition into the structure
A concise transition is:
“I’ll assess how to get 90% of routine patients from referral receipt to completed scan within four weeks, by year-end. I’ll trace delays across referral processing, booking and available scan appointments, while holding the budget and urgent access constant.”
This is more useful than starting with “demand and supply” and leaving the interviewer to infer which demand and which supply you mean.
You still need demand and capacity figures. The opening has told you how to organise and interpret them.
Show why a better average can miss the target
Imagine a cohort of 100 routine patients whose referrals were received early enough for everyone’s four-week deadline to have passed. Sixty completed their scan within four weeks; forty did not. The result is 60% on time.
Now suppose a change saves two days for the sixty patients who were already within four weeks, but does nothing for the other forty. Average waiting time improves. The on-time result remains 60%.
To reach 90% for a comparable 100-patient cohort, at least thirty additional patients must complete within four weeks. That is a thirty-percentage-point improvement, not a 30% relative improvement from the original 60%.
The analysis should therefore examine patients close to or beyond the deadline, the reasons they wait and the capacity needed to move them through on time. Reporting only the average can conceal the part of the distribution the target concerns.
Quick Case Math Drill
A home insurer must settle 90% of household claims within ten working days by year-end. Its operations team proposes a faster approval step.
- Claims in cohort
- 400
- Settled within ten days
- 260
- Proposed change effect
- Two days saved, only on already on-time claims
After the change, how many more claims must settle within ten days to hit 90%?
Include the people still waiting
A report of completed scans alone can create a misleading picture. If the centre scans easy-to-schedule patients quickly while older referrals remain open, the completed group may look healthy even as the waiting list deteriorates.
Ask how the case tracks unresolved referrals. For analysis, I would use referral dates, completion dates and the age of open referrals, with the cohort and observation period stated clearly. A patient whose four-week deadline has already passed cannot disappear from the assessment because their scan is still outstanding.
This is an analytical requirement for the fictional target. It is separate from any organisation’s formal reporting rules.
Check whether the queue can shrink
Suppose the centre receives 220 routine referrals each week but completes 200 routine scans. Its backlog grows by twenty a week. A one-off scheduling clean-up may reduce the existing queue temporarily, but the flow imbalance will rebuild it.
If routine completions can rise to 250 per week within the budget and service constraints, the centre can process thirty more patients than new referrals each week. A 300-patient backlog would then take ten weeks to clear under these simplified, steady-flow assumptions.
That calculation does not prove the four-week target will be met. Arrival variation, appointment types and the timing of available slots still matter. It does show why your recommendation must address continuing demand as well as today’s backlog.
The healthcare case guide develops demand, capacity and patient-access analysis further.
Practise changing the clock
Run the opening again with a different answer: waiting time means arrival at reception to leaving the centre. Your process map should now focus on the visit itself, including check-in, preparation, the scan and any required next step before departure.
If your structure is unchanged after that answer, you have not used the clarification.
Practise with the referral-journey case-opening drill. State where the clock starts and stops, whose outcome counts and which service must be protected. Then identify the first data you would request.
Case setup drill
How would an MBB interviewer judge your case opening?
Medical Imaging Center Referral Leakage
Summarise the client’s brief and ask our AI interviewer clarifying questions. Get feedback on your opening, with examples of stronger questions.
Frequently asked questions
Defining the waiting clock
What does “waiting time” mean in a diagnostic case?
It depends on the client, so ask. It could mean the period from referral to completed scan, or the time a patient spends at the centre on the day. In this case, it runs from the referral being received to the scan being completed, which directs your analysis well before the visit.
Why might a faster visit still leave patients waiting longer?
Because the visit may be a small part of the journey. Shortening the time spent in reception does little for someone who has waited six weeks for an appointment. When the clock starts at referral receipt, delays in referral processing and booking can matter far more than check-in.
What target am I working towards?
Get 90% of routine patients from referral receipt to completed scan within four weeks, by year-end. That is a share of patients inside a threshold, not an average wait. It means every proposed change should be judged by how many patients it brings within four weeks.
What changes if the clock runs from arrival to departure instead?
Your process map should shift to the visit itself: check-in, preparation, the scan and any required next step before the patient leaves. Referral processing and booking drop out of scope. If your structure is unchanged after that answer, you have not used the clarification.
Capacity, constraints and structure
Can routine patients be moved into urgent slots?
Not in this case, because urgent access must stay unchanged. Moving routine patients into reserved urgent capacity could improve the routine result while harming urgent patients. Ask about this boundary early, since assuming urgent slots are available would make the routine target look easier to reach than it is.
Where can extra capacity come from without a bigger budget?
From how routine appointments are scheduled, which the client allows you to redesign. With the annual operating budget and urgent access both fixed, look for unused capacity and booking inefficiencies within routine scheduling, rather than options that depend on extra spending the brief does not permit.
Why not just structure the case around demand and supply?
Because it leaves the interviewer to infer which demand and which supply you mean. A stronger transition names the target, traces delays across referral processing, booking and available scan appointments, and holds the budget and urgent access constant. That shows your clarifications have shaped the structure rather than sitting beside it.
Measuring performance and the backlog
How can the average wait improve while the target is still missed?
The target counts patients within four weeks, and the average can move without changing that count. In the example, 60 of 100 patients are on time. Saving two days for those 60 improves the average, but the 40 late patients gain nothing, so the result stays at 60%.
Why does the cohort definition matter?
Every patient in the cohort should have had the full four weeks before you judge them. The example uses referrals received early enough for everyone's deadline to have passed. Including recent referrals would mix in outcomes that are not yet known, so state the cohort and observation period clearly.
Is a report of completed scans enough to judge performance?
No, it can mislead. If the centre scans easy-to-schedule patients quickly while older referrals remain open, the completed group may look healthy even as the waiting list deteriorates. Ask how the case tracks unresolved referrals, because the age of open referrals reveals problems the completed group hides.
What data should I ask for?
Referral dates, completion dates and the age of open referrals, with the cohort and observation period stated clearly. Together these show both who has been scanned and who is still waiting, so you can measure performance against the four-week threshold without flattering the result.
Will a one-off scheduling clean-up fix the backlog?
Only temporarily if referrals outpace completions. With 220 routine referrals a week and 200 routine scans completed, the backlog grows by twenty each week. A clean-up may reduce the existing queue, but the flow imbalance will rebuild it, so check weekly flow before recommending one-off fixes.
What would it take for the queue to actually shrink?
Routine completions need to exceed new referrals. If they can rise to 250 a week within the budget and service constraints, the centre processes thirty more patients than it receives each week, so the backlog falls week by week. Confirm the extra throughput does not come from urgent capacity.