Transit layover capacity calculator

Calculate peak occupied slots and peak slot shortage with your own figures.

Your numbers

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

Use peak occupied slots and peak slot shortage to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Layovers [arrival minute,duration minutes,bays needed]; enter JSON
[[0,10,1],[5,10,1],[8,5,1]]
Available simultaneous slots (count)
2
Peak occupied slots (count)
3
Peak slot shortage (count)
1
Occupancy intervals (JSON)
[[0,10,1],[5,15,1],[8,13,1]]

Try another scenario

Layovers [arrival minute,duration minutes,bays needed]; enter JSON
[[0,8,1],[8,8,1]]
Available simultaneous slots (count)
1
Peak occupied slots (count)
1
Peak slot shortage (count)
0
Occupancy intervals (JSON)
[[0,8,1],[8,16,1]]
Calculation method

Calculation method

Peak occupied slots (count)

Sweep all start/end events from [start minute,duration minutes,slot count]; end events precede starts at same time.

Peak slot shortage (count)

max(0,peak simultaneous occupancy−available slots).

Occupancy intervals (JSON)

Return each [start,end,slots] explicitly; half-open intervals allow adjacent use.

Symbols and units
a
Layovers [arrival minute,duration minutes,bays needed]; enter JSON
b
Available simultaneous slots (count)

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

  • Fixed bus layover intervals; overflow is demand above user-entered parking capacity. 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. 1..100 rows; start>=0, duration>0, occupied slot count positive integer. No fractional slot sharing; intervals are half-open [start,end).
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