これは例として、zabbix-agentを起動するDockerイメージ

FROM debian:wheezy

ENV DEBIAN_FRONTEND noninteractive

RUN echo 'deb http://archive.debian.org/debian wheezy main' > /etc/apt/sources.list
RUN apt-get update -y && apt-get install -y wget
RUN apt-get install -y procps vim

RUN \
	wget http://repo.zabbix.com/zabbix/2.2/debian/pool/main/z/zabbix-release/zabbix-release_2.2-1+wheezy_all.deb \
	&& dpkg -i zabbix-release_2.2-1+wheezy_all.deb \
	&& apt-get update -y \
	&& apt-get install -y \
		zabbix-agent \
	&& rm -rf /var/lib/apt/lists/*

RUN \
	mkdir -p /var/run/zabbix \
	&& chown zabbix.zabbix /var/run/zabbix


# configure zabbix web server
RUN cp /etc/zabbix/zabbix_agentd.conf /root/zabbix_agentd.conf

COPY entrypoint.sh /entrypoint.sh

EXPOSE 10050

ENTRYPOINT ["/entrypoint.sh"]

#!/bin/bash

if [ ! -f /etc/zabbix/zabbix_agentd.conf ];then
  cp /root/zabbix_agentd.conf  /etc/zabbix/zabbix_agentd.conf
  mkdir /etc/zabbix/zabbix_agentd.d/
fi

/etc/init.d/zabbix-agent start

tail -f /var/log/zabbix/zabbix_agentd.log

zabbix-agent2.2というタグをつけてimageを作りました。

docker image build -t zabbix-agent2.2 .

出来上がったイメージ

# docker images
REPOSITORY        TAG       IMAGE ID       CREATED         SIZE
zabbix-agent2.2   latest    1ae644c4a02d   3 seconds ago   139MB

docker run -d -it --name zabbix zabbix-agent2.2