使用ES2016的async/await(可能还有ES2018的一些特性)，这可以简化为这样的形式:

function readFile(file) {
  ... // Returns a promise.
}

async function readFiles(files) {
  for (file in files) {
     await readFile(file)
  }
}

I haven't seen another answer express that simplicity. The OP said parallel execution of readFile was not desired. However, with IO like this it really makes sense to not be blocking on a single file read, while keeping the loop execution synchronous (you don't want to do the next step until all files have been read). Since I just learned about this and am a bit excited about it, I'll share that approach of parallel asynchronous execution of readFile with overall synchronous execution of readFiles.

async function readFiles(files) {
  await Promise.all(files.map(readFile))
}

这难道不是一件美好的事情吗?

下面是我比较喜欢的连续运行任务的方式。

function runSerial() {
    var that = this;
    // task1 is a function that returns a promise (and immediately starts executing)
    // task2 is a function that returns a promise (and immediately starts executing)
    return Promise.resolve()
        .then(function() {
            return that.task1();
        })
        .then(function() {
            return that.task2();
        })
        .then(function() {
            console.log(" ---- done ----");
        });
}

有更多任务的情况会怎样呢?10 ?

function runSerial(tasks) {
  var result = Promise.resolve();
  tasks.forEach(task => {
    result = result.then(() => task());
  });
  return result;
}

有一个npm包Promise Serial可以很好地做到这一点:

const Promise_serial = require('promise-serial');

 const promises =
    Array(15).fill()
    .map((_, i) =>
        () => new Promise(resolve => {
            console.log('promise '+i+' start');
            setTimeout(
                () => {
                    console.log('promise '+i+' end');
                    resolve('output-'+i);
                },
                500
            );
        })
    );


console.log('### Run promises in sequence')

Promise_serial(promises)

输出:

promise 0 start
promise 0 end
promise 1 start
promise 1 end
promise 2 start
promise 2 end
promise 3 start
promise 3 end
promise 4 start
promise 4 end
promise 5 start
promise 5 end
promise 6 start
promise 6 end
promise 7 start
promise 7 end

... etc

您还可以批处理或并行化它们。

参见:https://www.npmjs.com/package/promise-serial

我的答案基于https://stackoverflow.com/a/31070150/7542429。

Promise.series = function series(arrayOfPromises) {
    var results = [];
    return arrayOfPromises.reduce(function(seriesPromise, promise) {
      return seriesPromise.then(function() {
        return promise
        .then(function(result) {
          results.push(result);
        });
      });
    }, Promise.resolve())
    .then(function() {
      return results;
    });
  };

该解决方案以Promise.all()等数组的形式返回结果。

用法:

Promise.series([array of promises])
.then(function(results) { 
  // do stuff with results here
});

正如Bergi所注意到的，我认为最好的和明确的解决方案是使用蓝鸟。每个，代码如下:

const BlueBird = require('bluebird');
BlueBird.each(files, fs.readFileAsync);

我能想到的最好的解决办法就是蓝鸟承诺。你可以执行Promise.resolve(files).each(fs.readFileAsync);这保证了承诺是按顺序被解决的。