adding run local lambda and added make to system dependencies install

backend/docker/lambda.Dockerfile

@@ -13,7 +13,7 @@ ENV PYTHONUNBUFFERED 1
 WORKDIR /var/task/Model
 
 # Install system dependencies
-RUN apt-get update && apt-get install -y gcc g++ gfortran libgfortran-9-dev liblapack-dev libamd2 libcholmod3 \
+RUN apt-get update && apt-get install -y make gcc g++ gfortran libgfortran-9-dev liblapack-dev libamd2 libcholmod3 \
     libmetis-dev libsuitesparse-dev libnauty2-dev git wget
 
 # Compile CBC for arm64

run_lambda_local.sh

@@ -0,0 +1,42 @@
+#!/bin/bash
+
+# Set up constants
+IMAGE_NAME="fastapi-lambda-image"
+TAG="test"
+PORT="8000"
+RIE_PATH="~/.aws-lambda-rie"
+DOCKER_ENTRYPOINT="$RIE_PATH/aws-lambda-rie"
+DOCKER_CMD="/usr/local/bin/python -m awslambdaric backend.app.main.handler"
+ENV_FILE_PATH="backend/.env"
+AWS_CREDENTIALS_PATH="~/.aws/credentials"
+
+# Step 1: Download the AWS Lambda Runtime Interface Emulator if it doesn't exist
+if [ ! -f "$RIE_PATH/aws-lambda-rie" ]; then
+    echo "Downloading AWS Lambda Runtime Interface Emulator..."
+    mkdir -p $RIE_PATH
+    curl -Lo $RIE_PATH/aws-lambda-rie https://github.com/aws/aws-lambda-runtime-interface-emulator/releases/latest/download/aws-lambda-rie-arm64
+    chmod +x $RIE_PATH/aws-lambda-rie
+fi
+
+# Step 2: Build the Docker image
+echo "Building Docker image..."
+docker build -t $IMAGE_NAME:$TAG -f backend/docker/lambda.Dockerfile .
+
+# Step 3: Run the Docker image with the emulator, .env file, and AWS credentials
+echo "Starting the Docker container..."
+CONTAINER_ID=$(docker run -d \
+    --env-file $ENV_FILE_PATH \
+    -v $AWS_CREDENTIALS_PATH:/root/.aws/credentials \
+    -v $RIE_PATH:/aws-lambda \
+    -p $PORT:8080 \
+    --entrypoint $DOCKER_ENTRYPOINT \
+    $IMAGE_NAME:$TAG $DOCKER_CMD)
+
+# Output information
+echo "Docker container is running. Use the following command to send a request:"
+echo "curl \"http://localhost:$PORT/2015-03-31/functions/function/invocations\" -d '{}'"
+
+# Optional: If you want the script to stop the Docker container after you press a key, you can uncomment the next lines.
+# echo "Press any key to stop the Docker container..."
+# read -n 1 -s -r
+# docker kill $CONTAINER_ID