Salon fixed-start chair and staff phase check calculator

Calculate chair and staff phase allocations and total phase resource conflicts with your own figures.

Your numbers

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

Use chair and staff phase allocations and total phase resource conflicts to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Appointments [start minute,application minutes,unattended processing minutes,finish minutes]; enter JSON
[[0,15,30,15],[20,15,20,15]]
Chairs (count)
2
Qualified interchangeable staff (count)
1
Chair and staff phase allocations (JSON)
{"chairs":[{"item":1,"resource":1,"start":0,"end":60,"assigned":true},{"item":2,"resource":2,"start":20,"end":70,"assigned":true}],"staff_phases":[[1,"application",1,0,15],[2,"application",1,20,35],[1,"finish",1,45,60],[2,"finish",null,55,70]],"chair_conflicts":0,"staff_conflicts":1}
Total phase resource conflicts (count)
1

Try another scenario

Appointments [start minute,application minutes,unattended processing minutes,finish minutes]; enter JSON
[[0,20,20,20],[10,15,30,15],[60,15,10,15]]
Chairs (count)
2
Qualified interchangeable staff (count)
2
Chair and staff phase allocations (JSON)
{"chairs":[{"item":1,"resource":1,"start":0,"end":60,"assigned":true},{"item":2,"resource":2,"start":10,"end":70,"assigned":true},{"item":3,"resource":1,"start":60,"end":100,"assigned":true}],"staff_phases":[[1,"application",1,0,20],[2,"application",2,10,25],[1,"finish",1,40,60],[2,"finish",2,55,70],[3,"application",1,60,75],[3,"finish",1,85,100]],"chair_conflicts":0,"staff_conflicts":0}
Total phase resource conflicts (count)
0
Calculation method

Calculation method

Chair and staff phase allocations (JSON)

Reserve chair for all phases. Staff needed only application and finish; assign fixed intervals by earliest-start smallest resource index.

Total phase resource conflicts (count)

Chair assignment conflicts+staff phase conflicts; conflicted phases remain visible.

Symbols and units
a
Appointments [start minute,application minutes,unattended processing minutes,finish minutes]; enter JSON
b
Chairs (count)
c
Qualified interchangeable staff (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 proposed appointment starts with whole-chair occupancy and explicit attended/unattended phases; evaluates packing rather than finding optimal starts. 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. Positive total duration; attended/processing times>=0; starts>=0; chairs/staff 1..20. All staff qualify for all attended phases; staff can change between phases.
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