# Dynamic GPU Resource Allocation

FLOPS employs an advanced and adaptive framework to optimize GPU resource utilization within its decentralized compute marketplace. Below is a detailed explanation tailored for inclusion in the FLOPS whitepaper:

**Token-Based Dynamic Reward Mechanism**

FLOPS ensures fair and efficient allocation of incentives through a dynamic reward formula:

<figure><img src="https://3626508012-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FkFHFuYF5KILTWn3mXrqF%2Fuploads%2FNfHDWwTqeExE1DZjWV23%2Fimage.png?alt=media&#x26;token=0154d7f8-279c-4678-b62c-964c265f6b4c" alt=""><figcaption></figcaption></figure>

* *Ri​*: Reward for GPU node iii.
* *Ci*: Contribution value based on task execution (e.g., uptime, throughput).
* *Wi*​: Task weight depending on complexity or priority.
* *N*: Total active GPU nodes in the network.

This approach aligns rewards directly with contributions, minimizing inefficiencies caused by idle or underutilized resources.

**Distributed Task Management**

Tasks within the FLOPS ecosystem are broken down into smaller, manageable units:

T={t 1 ​ ,t 2 ​ ,…,t n ​ }

Each subtask is distributed across GPU nodes with conditions to:

1. Prioritize nodes with lower workload (Li≤Lavg)(L\_i \leq L\_{avg})(Li​≤Lavg​).
2. Maintain inter-task independence (Dk(ti,tj)=0)(D\_k(t\_i, t\_j) = 0)(Dk​(ti​,tj​)=0) for parallel execution.

**Real-Time Load Balancing**

GPU workload is dynamically monitored to optimize performance:

<figure><img src="https://3626508012-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FkFHFuYF5KILTWn3mXrqF%2Fuploads%2FQatDrOzVibnhri5979nY%2Fimage.png?alt=media&#x26;token=37b4a123-4036-4156-b413-f50229220be0" alt=""><figcaption></figcaption></figure>

* *Li​:* Current workload of GPU node iii.
* *Ui​:* Node utilization rate.
* *Rmax​:* Maximum computational capacity of the node.

Tasks are directed to nodes with workloads below a predefined threshold (Li≤θ)(L\_i \leq \theta)(Li​≤θ), preventing overuse and resource bottlenecks.

**Reputation-Based Node Scoring**

FLOPS incorporates a reputation evaluation model for nodes:

<figure><img src="https://3626508012-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FkFHFuYF5KILTWn3mXrqF%2Fuploads%2FCx3XZg3Rdi5UDeZCjq9l%2Fimage.png?alt=media&#x26;token=354b04c6-0200-48f8-abe7-5ff407c2de7c" alt=""><figcaption></figcaption></figure>

* Si​: Reputation score of node iii.
* AiA\_iAi​: Accuracy of task execution.
* RiR\_iRi​: Responsiveness during operations.
* SprevS\_{prev}Sprev​: Historical reputation.
* α,β,γ\alpha, \beta, \gammaα,β,γ: Weight coefficients reflecting scoring priorities.

Nodes with low scores receive fewer tasks or lower rewards, ensuring consistent network quality.
