Model railway wagon length allocation calculator

Calculate spotting assignments and unspotted wagons with your own figures.

Your numbers

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

Use spotting assignments and unspotted wagons to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Wagon lengths (millimetres)
300,250,200
Industry usable lengths (millimetres)
500,400
Spotting assignments (JSON)
{"assignments":[1,2,1],"loads":[500,250],"unassigned":[]}
Unspotted wagons (count)
0

Try another scenario

Wagon lengths (millimetres)
350,300,200,150
Industry usable lengths (millimetres)
600,400
Spotting assignments (JSON)
{"assignments":[1,2,1,null],"loads":[550,300],"unassigned":[4]}
Unspotted wagons (count)
1
Calculation method

Calculation method

Spotting assignments (JSON)

Sort wagons longest first; choose feasible industry with smallest current occupied length, tie by index.

Unspotted wagons (count)

Number left after greedy assignment; does not prove no alternative exists.

Symbols and units
a
Wagon lengths (millimetres)
b
Industry usable lengths (millimetres)

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

  • Greedy longest-wagon-first spotting on user-permitted tracks; no switching-path simulation. 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 numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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