Queue Fixed Service Throughput Budget
Budget complete equal-duration serial services in an explicit time window, retaining unused time; no parallelism or arrival model.
Description
Budget complete equal-duration serial services in an explicit time window, retaining unused time; no parallelism or arrival model.
A serial service with constant duration completes only whole jobs within a finite time window.
When to use this tool
Budget complete equal-duration serial services in an explicit time window, retaining unused time; no parallelism or arrival model.
- Prepare the supplied window, serviceDuration fields for this operation.
- Compare the complete example with the representation used by your own input before carrying the result into another step.
How to use the tool and how it works
- Enter window, serviceDuration. Use the exact text syntax, units and index conventions explained below.
- Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
- Read result.completed, result.unusedTime. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.
Require nonnegative window and positive serviceDuration. completed is floor(window/serviceDuration) and unusedTime is the remaining interval.1
| Input field | Meaning and representation | Accepted input |
|---|---|---|
| window | window. | Finite number |
| serviceDuration | service duration. | Finite number; greater than zero |
| Output field | Interpretation |
|---|---|
| result | Object containing the named outputs below. |
| result.completed | The completed value under the stated formula or text convention. |
| result.unusedTime | The unused time value under the stated formula or text convention. |
{
"input": {
"window": 10,
"serviceDuration": 3
},
"output": {
"result": {
"completed": 3,
"unusedTime": 1
}
}
}Limitations and assumptions
- No partial completion, arrival process, parallel server or setup cost is modeled. Both inputs must use the same time unit.
- All declared input fields are required and unexpected top-level fields are rejected. Numbers must be finite; lists are limited to 128 entries and ordinary text fields to 8,192 UTF-16 code units, with tighter limits where stated.
- JSON text inputs must parse within bounded nesting and size limits. Numeric outputs outside the safe finite range are rejected; large exact integer results use decimal strings. Indexes and half-open spans are zero-based unless a rank is explicitly described as one-based.
Alternative or Complementary methods
Check the arithmetic against the actual scheduling or storage policy. Add variable costs, arrivals, concurrent state and overhead in a model that explicitly represents them when they affect the decision.
References
Similar or alternative tools
- Queue Serial Service Finish Time
Deterministic serial-service timing for an item behind a supplied count of equal-service jobs; not a stochastic queueing or guaranteed completion forecast.
- Buffer Growing Record Budget
Admit complete records whose byte sizes grow arithmetically from an explicit initial size; bounded to 128 records with signed residual budget evidence.