[Docs] Convert rST to MyST (Markdown) (#11145)

Signed-off-by: Rafael Vasquez <rafvasq21@gmail.com>

docs/source/performance/benchmarks.md

+(benchmarks)=
+
+# Benchmark Suites
+
+vLLM contains two sets of benchmarks:
+
+- [Performance benchmarks](#performance-benchmarks)
+- [Nightly benchmarks](#nightly-benchmarks)
+
+(performance-benchmarks)=
+
+## Performance Benchmarks
+
+The performance benchmarks are used for development to confirm whether new changes improve performance under various workloads. They are triggered on every commit with both the `perf-benchmarks` and `ready` labels, and when a PR is merged into vLLM.
+
+The latest performance results are hosted on the public [vLLM Performance Dashboard](https://perf.vllm.ai).
+
+More information on the performance benchmarks and their parameters can be found [here](https://github.com/vllm-project/vllm/blob/main/.buildkite/nightly-benchmarks/performance-benchmarks-descriptions.md).
+
+(nightly-benchmarks)=
+
+## Nightly Benchmarks
+
+These compare vLLM's performance against alternatives (`tgi`, `trt-llm`, and `lmdeploy`) when there are major updates of vLLM (e.g., bumping up to a new version). They are primarily intended for consumers to evaluate when to choose vLLM over other options and are triggered on every commit with both the `perf-benchmarks` and `nightly-benchmarks` labels.
+
+The latest nightly benchmark results are shared in major release blog posts such as [vLLM v0.6.0](https://blog.vllm.ai/2024/09/05/perf-update.html).
+
+More information on the nightly benchmarks and their parameters can be found [here](https://github.com/vllm-project/vllm/blob/main/.buildkite/nightly-benchmarks/nightly-descriptions.md).