webpack-dev-server找不到模块“ webpack”

我正在尝试使用webpack-dev-server运行一个简单的程序，但出现此错误：

module.js:471
    throw err;
    ^

Error: Cannot find module 'webpack'
    at Function.Module._resolveFilename (module.js:469:15)
    at Function.Module._load (module.js:417:25)
    at Module.require (module.js:497:17)
    at require (internal/module.js:20:19)
    at Object.<anonymous> 
    at Module._compile (module.js:570:32)
    at Object.Module._extensions..js (module.js:579:10)
    at Module.load (module.js:487:32)
    at tryModuleLoad (module.js:446:12)
    at Function.Module._load (module.js:438:3)

我已经使用以下npm命令安装了webpack

npm install --save-dev webpack

并且我有以下配置：

(webpack.config.js)
var webpack = require('webpack');
var path = require('path');

var BUILD_DIR = path.resolve(__dirname, 'client/public');
var APP_DIR = path.resolve(__dirname, 'client/app');

var config = {
  entery: APP_DIR + '/index.js',
  output: {
    path: BUILD_DIR,
    filename: 'bundle,js',
  },
  module: {
    loaders: [
      {
        test: /.jsx?$/,
        loader: 'babel-loader',
        exclude: /node_modules/,
        query: {
          presets: ['es2015', 'react']
        }
      }
    ]
  }
};

module.exports = config;

我已经尝试了一切，但我真的迷路了。有人有什么主意吗？