Examples
Examples
Try the starting example
- Required product units: SKU, units
- X,60 Y,60
- Suppliers: name, shared total unit capacity, approved SKUs joined by |
- A,60,X|Y B,60,X
- Capacity-loss scenarios: name, failed supplier names joined by | or none
- Normal,none LoseB,B
- Maximum fulfilled units by scenario
- Normal: 120; LoseB: 60
- Total shortfall by scenario
- Normal: 0; LoseB: 60
- Largest supplied-scenario shortfall
- 60
- Total required units
- 120
- Worst supplied-scenario fulfilment share (%)
- 50
- One maximum-flow shortfall mix by scenario
- Normal: None; LoseB: Y: 60
Try another scenario
- Required product units: SKU, units
- X,60 Y,60
- Suppliers: name, shared total unit capacity, approved SKUs joined by |
- A,60,X|Y B,30,X
- Capacity-loss scenarios: name, failed supplier names joined by | or none
- Normal,none LoseB,B
- Maximum fulfilled units by scenario
- Normal: 90; LoseB: 60
- Total shortfall by scenario
- Normal: 30; LoseB: 60
- Largest supplied-scenario shortfall
- 60
- Total required units
- 120
- Worst supplied-scenario fulfilment share (%)
- 50
- One maximum-flow shortfall mix by scenario
- Normal: Y: 30; LoseB: Y: 60
Calculation method
Calculation method
Maximum fulfilled units by scenario
Remove explicitly failed suppliers, then solve maximum flow from surviving shared capacities through approved SKU links to demand. Each supplier unit can serve only one SKU.
Total shortfall by scenario
Total demand−maximum feasible fulfilled units.
Largest supplied-scenario shortfall
Maximum of supplied scenario shortfalls; no probability is inferred.
Total required units
Sum required product units.
Worst supplied-scenario fulfilment share (%)
100×(demand−largest gap)/demand, undefined for zero demand.
One maximum-flow shortfall mix by scenario
Report the remaining SKU demands from one deterministic max-flow solution; other equally optimal mixes can exist.
Symbols and units
- a
- Required product units: SKU, units
- b
- Suppliers: name, shared total unit capacity, approved SKUs joined by |
- c
- Capacity-loss scenarios: name, failed supplier names joined by | or none
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- An exact shared-unit capacity scenario under supplied SKU qualifications. Assumes one unit of any approved SKU consumes one capacity unit; it does not assess supplier quality, outage likelihood or real substitution approval.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.