Model railway session wagon demand calculator

Calculate wagons required by type and wagons handled per session hour with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use wagons required by type and wagons handled per session hour to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Demands [wagon type,shipment tonnes,capacity tonnes/wagon]; enter JSON
[["Box",25,10],["Tank",12,8],["Box",6,10]]
Session duration (hours)
2
Wagons required by type (JSON)
{"Box":4,"Tank":2}
Wagons handled per session hour
3

Try another scenario

Demands [wagon type,shipment tonnes,capacity tonnes/wagon]; enter JSON
[["Box",32,10],["Tank",20,8]]
Session duration (hours)
3
Wagons required by type (JSON)
{"Box":4,"Tank":3}
Wagons handled per session hour
2.333333
Calculation method

Calculation method

Wagons required by type (JSON)

For each row ceil(shipment/capacity), then sum counts by type.

Wagons handled per session hour

Sum row whole-wagon requirements/session duration.

Symbols and units
a
Demands [wagon type,shipment tonnes,capacity tonnes/wagon]; enter JSON
b
Session duration (hours)

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

  • Shipment mass divided into whole wagons independently per industry and type; no wagon reuse inside a session. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All capacity tonnes/wagon >0; shipments>=0; session>0.
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