Files
cs249r_book/mlsysim/docs/api/core.solver.OrchestrationModel.qmd
Vijay Janapa Reddi 611de228d9 fix(mlsysim): align docs with *Model naming convention
The solver.py refactoring renamed most solver classes from *Solver to
*Model (e.g. DistributedSolver → DistributedModel). The docs still
referenced the old names, causing the Quarto site build to fail with:
  ImportError: cannot import name 'DistributedSolver' from 'mlsysim'

- Fix executable code cells in tutorials/distributed.qmd
- Update non-executable code examples across 10 doc files
- Rename 19 API reference files from *Solver.qmd to *Model.qmd
- SensitivitySolver and SynthesisSolver retain their names (correct)

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-09 08:39:11 -04:00

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# core.solver.OrchestrationModel { #mlsysim.core.solver.OrchestrationModel }
```python
core.solver.OrchestrationModel()
```
Analyzes Cluster Orchestration and Queueing (Little's Law).
This solver models the 'Wait Wall' in shared research clusters,
calculating job completion times and researcher wait times based on
cluster utilization and arrival rates.
Literature Source:
1. Little (1961), "A Proof for the Queuing Formula: L = λW."
2. Barroso et al. (2018), "The Datacenter as a Computer" (Cluster Mgmt).
3. Jeon et al. (2019), "Analysis of Large-Scale Multi-Tenant GPU Clusters."
## Methods
| Name | Description |
| --- | --- |
| [solve](#mlsysim.core.solver.OrchestrationModel.solve) | Solves for cluster wait times and utilization. |
### solve { #mlsysim.core.solver.OrchestrationModel.solve }
```python
core.solver.OrchestrationModel.solve(
fleet,
arrival_rate_jobs_per_day,
avg_job_duration_days,
)
```
Solves for cluster wait times and utilization.
#### Parameters {.doc-section .doc-section-parameters}
| Name | Type | Description | Default |
|---------------------------|--------|------------------------------------------------------------------|------------|
| fleet | Fleet | The hardware cluster configuration. | _required_ |
| arrival_rate_jobs_per_day | float | λ: Rate at which new training jobs are submitted. | _required_ |
| avg_job_duration_days | float | The average time a job takes to run if it has the whole cluster. | _required_ |
#### Returns {.doc-section .doc-section-returns}
| Name | Type | Description |
|--------|------------------|----------------------------------------------------|
| | Dict\[str, Any\] | Wait time, system length, and utilization metrics. |