# solvers.ReliabilityModel { #mlsysim.solvers.ReliabilityModel }

```python
solvers.ReliabilityModel()
```

Calculates Mean Time Between Failures (MTBF) and optimal checkpointing intervals.

This model handles the reliability modeling of massive clusters, helping
determine the 'Goodput' of long-running training jobs. It identifies
the probability of a job failure before completion and calculates the
Young-Daly optimal interval to minimize wasted compute time.

Literature Source:
1. Young (1974), "A First-Order Approximation to the Optimum Checkpoint
   Interval."
2. Daly (2006), "A Higher Order Estimate of the Optimum Checkpoint
   Interval for Restart-Dump Strategy."

## Methods

| Name | Description |
| --- | --- |
| [solve](#mlsysim.solvers.ReliabilityModel.solve) | Calculates reliability and checkpointing metrics for a fleet. |

### solve { #mlsysim.solvers.ReliabilityModel.solve }

```python
solvers.ReliabilityModel.solve(
    fleet,
    job_duration_hours,
    checkpoint_time_s=60.0,
    avg_recovery_time_s=300.0,
)
```

Calculates reliability and checkpointing metrics for a fleet.

#### Parameters {.doc-section .doc-section-parameters}

| Name                | Type   | Description                                                                                                                   | Default    |
|---------------------|--------|-------------------------------------------------------------------------------------------------------------------------------|------------|
| fleet               | Fleet  | The hardware cluster configuration.                                                                                           | _required_ |
| job_duration_hours  | float  | Total job duration in hours.                                                                                                  | _required_ |
| checkpoint_time_s   | float  | Time to write one checkpoint in seconds (default 60s).                                                                        | `60.0`     |
| avg_recovery_time_s | float  | Average time to recover from a failure in seconds (default 300s). Includes checkpoint reload, process restart, and re-warmup. | `300.0`    |