Lets say, you need to run a custom app listening on a fixed port on every worker node?, like a monitoring agent, here's my POC for the case:

apiVersion: extensions/v1beta1
kind: DaemonSet
metadata:
  name: monitor
spec:
  updateStrategy:
    type: RollingUpdate
    rollingUpdate:
      maxUnavailable: 1
  template:
    metadata:
      labels:
        app: monitor-nginx
    spec:
      # nodeSelector:
      # app: node-monitor-nginx
      containers:
        - name: node-monitor-nginx-container
          image: nginx:alpine
          ports:
          - containerPort: 80
            hostPort: 31179
            protocol: TCP

Let's say that my agent reports node status on an nginx pod, so you can get the data on the TCP31179 on every node.

Why the pod it's not listening on that port on the worker nodes??

root@ip-10-0-1-109:~# telnet 10.0.1.109 31179
Trying 10.0.1.109...
telnet: Unable to connect to remote host: Connection refused