[Doc] Update docker references (vllm-project#5614)

Signed-off-by: Rafael Vasquez <[email protected]>

Author: rafvasq

docs/source/dev/dockerfile/dockerfile.rst

@@ -2,19 +2,19 @@ Dockerfile
 ====================
 
 See `here <https://github.com/vllm-project/vllm/blob/main/Dockerfile>`_ for the main Dockerfile to construct 
-the image for running an OpenAI compatible server with vLLM.
+the image for running an OpenAI compatible server with vLLM. More information about deploying with Docker can be found `here <https://docs.vllm.ai/en/stable/serving/deploying_with_docker.html>`_.
 
--  Below is a visual representation of the multi-stage Dockerfile. The build graph contains the following nodes:
+Below is a visual representation of the multi-stage Dockerfile. The build graph contains the following nodes:
 
-   - All build stages
-   - The default build target (highlighted in grey)
-   - External images (with dashed borders)
+- All build stages
+- The default build target (highlighted in grey)
+- External images (with dashed borders)
 
-   The edges of the build graph represent:
-   
-   - FROM ... dependencies (with a solid line and a full arrow head)
-   - COPY --from=... dependencies (with a dashed line and an empty arrow head)
-   - RUN --mount=(.*)from=... dependencies (with a dotted line and an empty diamond arrow head)
+The edges of the build graph represent:
+
+- FROM ... dependencies (with a solid line and a full arrow head)
+- COPY --from=... dependencies (with a dashed line and an empty arrow head)
+- RUN --mount=(.*)from=... dependencies (with a dotted line and an empty diamond arrow head)
 
    .. figure:: ../../assets/dev/dockerfile-stages-dependency.png
       :alt: query

docs/source/serving/deploying_with_docker.rst

@@ -3,9 +3,8 @@
 Deploying with Docker
 ============================
 
-vLLM offers official docker image for deployment.
-The image can be used to run OpenAI compatible server.
-The image is available on Docker Hub as `vllm/vllm-openai <https://hub.docker.com/r/vllm/vllm-openai/tags>`_.
+vLLM offers an official Docker image for deployment.
+The image can be used to run OpenAI compatible server and is available on Docker Hub as `vllm/vllm-openai <https://hub.docker.com/r/vllm/vllm-openai/tags>`_.
 
 .. code-block:: console
 
@@ -25,7 +24,7 @@ The image is available on Docker Hub as `vllm/vllm-openai <https://hub.docker.co
         memory to share data between processes under the hood, particularly for tensor parallel inference.
 
 
-You can build and run vLLM from source via the provided dockerfile. To build vLLM:
+You can build and run vLLM from source via the provided `Dockerfile <https://github.com/vllm-project/vllm/blob/main/Dockerfile>`_. To build vLLM:
 
 .. code-block:: console