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AN-2026-02Sample analysis · synthetic data

The invoice sitting in the site manager's car

A construction firm loses early-payment discounts — not for lack of cash, but because approval travels the country on paper.

In short

The bottleneck is paper-based approval — even though site management is only 31 % utilised. Capacity is not missing; a digital route is.

How long it takes

9.4working days

In 8 of 10 cases between 3.2 and 21.5 days.

Where it sticks

Freigabe Bauleitung

In 71 of 100 simulated runs this step was the hold-up.

What it costs

€29,000

Per year. Estimated between €21,000 and €38,000.

What the fix would return

€21,000

Per year. Estimated between €14,000 and €27,000.

01Starting point

Invoice approval

Industry
Construction
Size
80 Mitarbeitende
Cases per year
4,200
Fully loaded rate
€68 / h
Simulated runs
500
Date
April 2026

Accounting regularly pays without taking the early-payment discount. The in-house accusation: accounting is too slow. Accounting says it gets the invoices back too late.

4,200 incoming invoices a year, five steps, three roles, at a €68 fully loaded rate. Modelled and simulated over 500 runs.

02The model

Six steps, four roles, one measurable path

The process modelled in FlowVisual. ↯ marks a media break — the point where data is retyped from one system into the next.

Every value in the model, as a table.
StepRoleSystemDuration P10–P90Bottleneck
01RechnungseingangBuchhaltungE-Mail / Papier38 min3 %
02Sachliche PrüfungBuchhaltungERP515 min8 %
03Freigabe BauleitungBottleneckBauleitungPapier / Post520 min71 %
04KontierungBuchhaltungERP410 min9 %
05ZahlungBuchhaltungBanking25 min9 %
03The measurement

500 runs, one clear answer

Every chart below shows before against after. Values are labelled directly — the colour is a second signal, never the only one.

Abb. 1Probability of each step being the bottleneck in a run. Before against after.
Abb. 2Lead time as a P10–P90 range. The light tick marks the median (P50).
Abb. 3Utilisation per role. Everything right of the red line is structural overload.
Throughput

88

Rechnungen/Woche

Days over capacity

22 %

Range P10–P90

3.2–21.5working days

04The finding

Freigabe Bauleitung — 71 %

Accounting is not the problem. In 71 % of runs the bottleneck is approval by site management — the only step that runs on paper and has to be physically transported.

The actual work in that step takes 5 to 20 minutes. The waiting takes days. A step with almost no work blocks the entire flow.

Site management utilisation is 31 %. That is the key sentence of this analysis: the bottleneck is not overloaded. This is not a capacity problem, it is a transport problem. Hiring would have changed nothing.

05The intervention

Approval moves into the ERP. On the phone.

Approval would be granted on mobile in the ERP instead of on paper in the office. Invoice intake would switch to e-invoicing so the media break at the start disappears.

This would not be a digitalisation strategy, but a single lever — chosen because the measurement names it.

06The re-measurement

Median lead time down 67 %

How long it takes
9.43.1 working days
Throughput
8892
Days over capacity
22 % → 8 %
Saving per year
€21,000

Median lead time falls from 9.4 to 3.1 days, bringing the company back inside the usual 14-day discount window even in the P90 case (7.2 days).

Site management remains the most likely bottleneck (42 %) — but now at a level that no longer breaks the payment run. Accounting drops from 92 % to 74 % utilisation without a single hire.

Two thirds of the saving comes from recovered discounts, one third from eliminated rework.

07Limits of this analysis

What this analysis cannot tell you

Every measurement has limits. A measurement that hides them is advertising.

  1. 01

    This is a sample analysis. The figures are constructed, not measured at a client.

  2. 02

    The discount saving assumes suppliers grant 2 % at 14 days and that invoices are approved in full. Disputed invoices are not modelled.

  3. 03

    Waiting times were estimated as a distribution, not pulled from system logs. With real data they would likely be more erratic.

  4. 04

    Switching to e-invoicing carries one-off costs that are not part of this calculation.

Your process will look different.

This analysis is a sample. Your numbers are not. With FlowVisual you model your own process and get the same evaluation — on your machine, with your values.