docs: Add time aware docs

CHANGELOG.md

@@ -14,7 +14,7 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.1.0/).
 - Added enforcement of the `nvidia` runtime class for GPU pods, with the option to enforce a custom runtime class, or disable enforcement entirely.
 - Added a preferred podAntiAffinity term by default for all services, can be set to required instead by setting `global.requireDefaultPodAffinityTerm`
 - Added support for service-level affinities
-- Added time aware scheduling configurations in scheduling shard
+- Added [time aware scheduling](docs/timeaware/README.md) capabilities
 
 ### Fixed
 - (Openshift only) - High CPU usage for the operator pod due to continues reconciles

cmd/time-aware-simulator/examples/plot_simple.py

@@ -9,6 +9,8 @@
 parser = argparse.ArgumentParser(description='Plot simulation results from CSV file')
 parser.add_argument('input', nargs='?', default='simulation_results.csv',
                     help='Path to the CSV file (default: simulation_results.csv)')
+parser.add_argument('--output', '-o', type=str, default=None,
+                    help='Save plot to PNG file instead of displaying it')
 args = parser.parse_args()
 
 df = pd.read_csv(args.input)
@@ -38,5 +40,10 @@
 ax2.grid(True, alpha=0.3)
 
 plt.tight_layout()
-plt.show()
+
+if args.output:
+    plt.savefig(args.output, dpi=300, bbox_inches='tight')
+    print(f"Plot saved to {args.output}")
+else:
+    plt.show()
 

docs/timeaware/README.md

@@ -0,0 +1,189 @@
+# Time Aware fairness
+
+Time aware fairness is a feature in KAI-Scheduler which makes use of historical resource usage by queues for making allocation and reclaim decisions. Key features are:
+
+1. All else being equal, queues with higher past usage will get to run jobs after queues with lower usage
+2. Reclaim based on usage: queues which are starved over time will reclaim resources from queues which used a lot of resources.
+    1. Note: this does not effect in-quota allocation: deserved quota still takes precedence over time-aware fairness
+
+
+> **Prerequisites**: Familiarity with [fairness](../fairness/README.md)
+
+## How it works
+
+In high level: resource usage data in the cluster is collected and persisted in prometheus. It is then used by the scheduler to make resource fairness calculations: the more resources consumed by a queue, the less over-quota resources it will get compared to other queues. This will eventually result in the queues' over-quota resources being reclaimed by more starved queues, thus achieving a more fair allocation of resources over time.
+
+### Resource usage data
+
+Queue historical resource usage data is collected in a prometheus instance in the cluster *(external prometheus instances can be used - see [External prometheus](#external-prometheus))*. The scheduler configuration determines the time period that will be considered, as well as allows configuration for time-decay, which, if configured, gives more weight to recent usage than past usage.
+
+The metrics are collected continuously: the pod-group-controller publishes resource usage for individual pod-groups on their status, which are then aggregated by the queue-controller and published as a metric, which gets collected and persisted by prometheus.
+
+If configured, the scheduler applies an [exponential time decay](https://en.wikipedia.org/wiki/Exponential_decay) formula which is configured by a half-life period. This can be more intuitively understood with an example: for a half life of one hour, a usage (for example, 1 gpu-second) that occurred an hour ago will be considered half as significant as a gpu-second that was consumed just now.
+
+Mathematically, the following formula is applied to historical usage:
+
+$$U = 0.5^{\frac{\Delta{t}}{t_{1/2}}}*A$$
+
+Where:
+
+- $U$ is the usage
+- $t_{1/2}$ is the half life constant set by the user
+- $\Delta{t}$ is the time elapsed since that usage
+- $A$ is the allocated resource
+
+#### Normalization to cluster capacity
+
+The aggregated usage for each queue is then normalized to the **cluster capacity** at the relevant time period: the scheduler looks at the available resources in the cluster for that time period, and normalizes all resource usage to it. For example, in a cluster with 10 GPUs, and considering a time period of 10 hours, a queue which consumed 24 GPU hours (wether it's 8 GPUs for 3 hours, or 12 GPUs for 2 hours), will get a normalized usage score of 0.24 (used 24 GPU hours out of a potential 100). This normalization ensures that a small amount of resource usage relative to the cluster size will not result in a heavy penalty.
+
+### Effect on fair share
+
+Usually, over quota resources are assigned to each queue proportionally to it's Over Quota Weight. With time-aware fairness, queues with historical usage will get relatively less resources in over-quota. The significance of the resource usage in this calculation can be controlled with a parameter called "kValue": the bigger it is, the more impact (or weight) the historical usage has on the calculated fairshare, i.e. it will decrease the fairshare of that queue.
+
+Check out the [time aware simulator](../../cmd/time-aware-simulator/README.md) to understand scheduling behavior over time better.
+
+### Example
+
+The following plot demonstrates the GPU allocation over time in a 16 GPU cluster, with two queues, each having 0 deserved quota and 1 Over Quota weight for GPUs, each trying to run 16-GPU, single-pod Jobs.
+
+![Time-aware fairness GPU allocation over time](./results.png)
+
+*Time units are intentionally omitted*
+
+## Setup and Configurations
+
+### Quick setup
+
+Enable prometheus in KAI operator:
+
+```sh
+kubectl patch config kai-config --type merge -p '{"spec":{"prometheus":{"enabled":true}}}'
+```
+
+It's recommended to wait for the prometheus pod to be available. Look for it in `kai-scheduler` namespace:
+
+```sh
+watch kubectl get pod -n kai-scheduler prometheus-prometheus-0
+```
+
+And configure the scheduler to connect to it by patching the scheduling shard:
+
+```sh
+kubectl patch schedulingshard -nkai-scheudler default --type merge -p '{"spec":{"usageDBConfig":{"clientType":"prometheus"}}}'
+```
+
+The scheduler should now restart and attempt to connect to prometheus.
+
+### Scheduler configurations
+
+You can further configure the scheduler by editing the scheduling shard:
+
+```sh
+kubectl edit schedulingshard default
+```
+*Replace `default` with the shard name if relevant*
+
+Add the following section under `spec`:
+```yaml
+  usageDBConfig:
+    clientType: prometheus
+    connectionString: http://prometheus-operated.kai-scheduler.svc.cluster.local:9090 # Optional: if not configured, the kai config will populate it 
+    usageParams:
+      windowSize: 1w # The time period considered for fairness calculations. One week is the default
+      windowType: sliding # Change to the desired value (sliding/tumbling). Sliding is the default
+      halfLifePeriod: 10m # Leave empty to not use time decay. Off by default
+```
+
+#### kValue
+
+KValue is a parameter used by the proportion plugin to determine the impact of historical usage in fairness calculations - higher values mean more aggressive effects on fairness. To set it, add it to the scheduling shard spec:
+```sh
+kubectl edit schedulingshard default
+```
+
+```yaml
+spec:
+  ... # Other configurations
+  kValue: 0.5
+  usageDBConfig:
+    ... # Other configurations
+```
+
+#### Advanced: overriding metrics
+
+> *This configuration should not be changed under normal conditions*
+
+In some cases, the admin might want to configure the scheduler to query different metrics for usage and capacity of certain resources. This can be done with the following config:
+
+```sh
+kubectl edit schedulingshard default
+```
+
+```yaml
+  usageDBConfig:
+    extraParams:
+      gpuAllocationMetric: kai_queue_allocated_gpus
+      cpuAllocationMetric: kai_queue_allocated_cpu_cores
+      memoryAllocationMetric: kai_queue_allocated_memory_bytes
+      gpuCapacityMetric: sum(kube_node_status_capacity{resource=\"nvidia_com_gpu\"})
+      cpuCapacityMetric: sum(kube_node_status_capacity{resource=\"cpu\"})
+      memoryCapacityMetric: sum(kube_node_status_capacity{resource=\"memory\"})
+```
+
+###  Prometheus configurations
+
+> Using a kai-operated prometheus assumes that the [prometheus operator](https://prometheus-operator.dev/docs/getting-started/installation/) is installed in the cluster
+
+To enable prometheus via kai-operator, apply the following patch:
+```sh
+kubectl patch config kai-config --type merge -p '{"spec":{"prometheus":{"enabled":true}}}'
+```
+
+You can also customize the following configurations:
+
+```
+  externalPrometheusHealthProbe	# defines the configuration for external Prometheus connectivity validation, with defaults.
+  externalPrometheusUrl	# defines the URL of an external Prometheus instance to use. When set, KAI will not deploy its own Prometheus but will configure ServiceMonitors for the external instance and validate connectivity
+  retentionPeriod # defines how long to retain data (e.g., "2w", "1d", "30d")
+  sampleInterval # defines the interval of sampling (e.g., "1m", "30s", "5m")
+  serviceMonitor # defines ServiceMonitor configuration for KAI services
+  storageClassName # defines the name of the storageClass that will be used to store the TSDB data. defaults to "standard".
+  storageSize # defines the size of the storage (e.g., "20Gi", "30Gi")
+```
+
+## Troubleshooting
+
+### Dependencies
+
+Before enabling prometheus in kai config, make sure that the prometheus is installed. If it's not, you will see the following condition in the kai config:
+
+``` sh 
+kubectl describe config kai-config
+```
+```
+Status:
+  Conditions:
+    ...
+    Last Transition Time:  2025-11-10T11:25:48Z
+    Message:               KAI-prometheus: no matches for kind "Prometheus" in version "monitoring.coreos.com/v1"
+KAI-prometheus: not available
+    Observed Generation:   2
+    Reason:                available
+    Status:                False
+    Type:                  Available
+```
+
+Simply follow the [prometheus installation instructions](https://prometheus-operator.dev/docs/getting-started/installation/).
+
+In order to collect cluster capacity metrics, [kube-state-metrics](https://artifacthub.io/packages/helm/prometheus-community/kube-state-metrics/) needs to be installed as well. By default, the kai operator creates a ServiceMonitor for it, assuming it's installed in `monitoring` or `default` namespace.
+
+### Missing metrics
+
+If the scheduler is unable to collect the usage metrics from prometheus, you will see a message in the logs, similar to this:
+
+```
+2025-11-10T12:33:07.318Z	ERROR	usagedb/usagedb.go:142	failed to fetch usage data: error querying nvidia.com/gpu and capacity: error querying cluster capacity metric ((sum(kube_node_status_capacity{resource="nvidia_com_gpu"})) * (0.5^((1762777987 - time()) / 600.000000))): bad_data: invalid parameter "query": 1:124: parse error: unexpected character in duration expression: '&'
+```
+
+Prometheus connectivity
+Metrics availability