Examples
Examples
Try the starting example
- Prep tasks [duration minutes,zero-based predecessors]; enter JSON
- [[10,[]],[20,[0]],[15,[]]]
- Opening time (minutes after midnight)
- 480
- Backward prep schedule [task,start,end] (JSON)
- [[1,435,445],[2,445,465],[3,465,480]]
- Required prep start (minute after midnight)
- 435
- Minutes of prep before opening
- 45
Try another scenario
- Prep tasks [duration minutes,zero-based predecessors]; enter JSON
- [[15,[]],[25,[0]],[10,[1]]]
- Opening time (minutes after midnight)
- 510
- Backward prep schedule [task,start,end] (JSON)
- [[1,460,475],[2,475,500],[3,500,510]]
- Required prep start (minute after midnight)
- 460
- Minutes of prep before opening
- 50
Calculation method
Calculation method
Backward prep schedule [task,start,end] (JSON)
Find tasks with all successors scheduled; pick highest task index; end=min(worker next start,successor starts,opening); start=end−duration.
Required prep start (minute after midnight)
Minimum backward-scheduled start.
Minutes of prep before opening
Opening−earliest prep start.
Symbols and units
- a
- Prep tasks [duration minutes,zero-based predecessors]; enter JSON
- b
- Opening time (minutes after midnight)
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
- Single-worker backward preparation schedule with precedence; minutes are measured from midnight and negative starts indicate previous day. 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. Nonempty positive-duration acyclic tasks; <=100 tasks; one interchangeable worker.
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.