カスタム名(KAPACITOR_BASE_URLおよびKAPACITOR_ALERTS_ENDPOINTのコンテナー名/ポート規則ではない)の環境変数でいくつかの問題に直面していました。この場合にサービス名を指定すると、IPは次のように解決されません。
KAPACITOR_BASE_URL:  http://kapacitor:9092
上記でhttp://[**kapacitor**]:9092は解決されませんhttp://172.20.0.2:9092
サブネット構成を使用して静的IPの問題を解決しました。
version: "3.3"
networks:
  frontend:
    ipam:
      config:
        - subnet: 172.20.0.0/24
services:
    db:
        image: postgres:9.4.4
        networks:
            frontend:
                ipv4_address: 172.20.0.5
        ports:
            - "5432:5432"
        volumes:
            - postgres_data:/var/lib/postgresql/data
    redis:
        image: redis:latest
        networks:
            frontend:
                ipv4_address: 172.20.0.6
        ports:
            - "6379"
    influxdb:
        image: influxdb:latest
        ports:
            - "8086:8086"
            - "8083:8083"
        volumes:
            - ../influxdb/influxdb.conf:/etc/influxdb/influxdb.conf
            - ../influxdb/inxdb:/var/lib/influxdb
        networks:
            frontend:
                ipv4_address: 172.20.0.4
        environment:
          INFLUXDB_HTTP_AUTH_ENABLED: "false"
          INFLUXDB_ADMIN_ENABLED: "true"
          INFLUXDB_USERNAME: "db_username"
          INFLUXDB_PASSWORD: "12345678"
          INFLUXDB_DB: db_customers
    kapacitor:
        image: kapacitor:latest
        ports: 
            - "9092:9092"
        networks:
            frontend:
                ipv4_address: 172.20.0.2
        depends_on:
            - influxdb
        volumes:
            - ../kapacitor/kapacitor.conf:/etc/kapacitor/kapacitor.conf
            - ../kapacitor/kapdb:/var/lib/kapacitor
        environment:
          KAPACITOR_INFLUXDB_0_URLS_0: http://influxdb:8086
    web:
        build: .
        environment:
          RAILS_ENV: $RAILS_ENV
        command: bundle exec rails s -b 0.0.0.0
        ports:
            - "3000:3000"
        networks:
            frontend:
                ipv4_address: 172.20.0.3
        links:
            - db
            - kapacitor
        depends_on:
            - db
        volumes:
            - .:/var/app/current
        environment:
          DATABASE_URL: postgres://postgres@db
          DATABASE_USERNAME: postgres
          DATABASE_PASSWORD: postgres
          INFLUX_URL: http://influxdb:8086
          INFLUX_USER: db_username
          INFLUX_PWD: 12345678
          KAPACITOR_BASE_URL:  http://172.20.0.2:9092
          KAPACITOR_ALERTS_ENDPOINT: http://172.20.0.3:3000
volumes:
  postgres_data: