Hiking permit group allocation calculator

Calculate permit count used for each separate date and people assigned to each selected permit, by date with your own figures.

Your numbers

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

Use permit count used for each separate date and people assigned to each selected permit, by date to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

People to place on one chosen date
8
Permit slots: ID, date, supplied people per permit, available permits
Small20,2026-10-20,3,2 Large20,2026-10-20,5,1 Small21,2026-10-21,3,2
Permit count used for each separate date
2026-10-20: 2; 2026-10-21: 2
People assigned to each selected permit, by date
2026-10-20: 5|3; 2026-10-21: 3|3
Unplaced people by date
2026-10-20: 0; 2026-10-21: 2
Unused supplied same-date permit capacity
2026-10-20: 3; 2026-10-21: 0
Dates with enough supplied modeled places
2026-10-20

Try another scenario

People to place on one chosen date
11
Permit slots: ID, date, supplied people per permit, available permits
Small20,2026-10-20,3,2 Large20,2026-10-20,5,1 Small21,2026-10-21,3,2
Permit count used for each separate date
2026-10-20: 3; 2026-10-21: 2
People assigned to each selected permit, by date
2026-10-20: 5|3|3; 2026-10-21: 3|3
Unplaced people by date
2026-10-20: 0; 2026-10-21: 5
Unused supplied same-date permit capacity
2026-10-20: 0; 2026-10-21: 0
Dates with enough supplied modeled places
2026-10-20
Calculation method

Calculation method

Permit count used for each separate date

Choose available same-date permits from largest capacity downward until group placed or inventory exhausted. With pooled unconstrained places this minimizes permit count when full placement is possible.

People assigned to each selected permit, by date

Fill chosen permits up to their supplied capacity; last permit may be partial.

Unplaced people by date

max(0,people−total same-date available places).

Unused supplied same-date permit capacity

All supplied same-date places−placed people, including unselected permits.

Dates with enough supplied modeled places

List dates with zero unplaced people; no cross-date combination is allowed.

Symbols and units
a
People to place on one chosen date
b
Permit slots: ID, date, supplied people per permit, available permits

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

  • A supplied same-date capacity/allocation model. It does not fetch permits, check legal party limits, combine permissions or make bookings; pooling and party splitting must already be explicitly permitted by the supplied rules.
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

OpenStax: ratios and rates; all itinerary rates, limits and scenario rules are supplied inputs ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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