Limit concurrency of promise being run

I don’t think there are any libraries to do this, but it’s actually quite simple to implement yourself:

function queue(fn) { // limitConcurrency(fn, 1)
    var q = Promise.resolve();
    return function(x) {
        var p = q.then(function() {
            return fn(x);
        });
        q = p.reflect();
        return p;
    };
}

For multiple concurrent requests it gets a little trickier, but can be done as well.

function limitConcurrency(fn, n) {
    if (n == 1) return queue(fn); // optimisation
    var q = null;
    var active = [];
    function next(x) {
        return function() {
            var p = fn(x)
            active.push(p.reflect().then(function() {
                active.splice(active.indexOf(p), 1);
            })
            return [Promise.race(active), p];
        }
    }
    function fst(t) {
        return t[0];
    }
    function snd(t) {
        return t[1];
    }
    return function(x) {
        var put = next(x)
        if (active.length < n) {
            var r = put()
            q = fst(t);
            return snd(t);
        } else {
            var r = q.then(put);
            q = r.then(fst);
            return r.then(snd)
        }
    };
}

Btw, you might want to have a look at the actors model and CSP. They can simplify dealing with such things, there are a few JS libraries for them out there as well.

Example

import Promise from 'bluebird'

function sequential(fn) {
  var q = Promise.resolve();
  return (...args) => {
    const p = q.then(() => fn(...args))
    q = p.reflect()
    return p
  }
}

async function _delayPromise (seconds, str) {
  console.log(`${str} started`)
  await Promise.delay(seconds)
  console.log(`${str} ended`)
  return str
}

let delayPromise = sequential(_delayPromise)

async function a() {
  await delayPromise(100, "a:a")
  await delayPromise(200, "a:b")
  await delayPromise(300, "a:c")
}

async function b() {
  await delayPromise(400, "b:a")
  await delayPromise(500, "b:b")
  await delayPromise(600, "b:c")
}

a().then(() => console.log('done'))
b().then(() => console.log('done'))

// --> with sequential()

// $ babel-node test/t.js
// a:a started
// a:a ended
// b:a started
// b:a ended
// a:b started
// a:b ended
// b:b started
// b:b ended
// a:c started
// a:c ended
// b:c started
// done
// b:c ended
// done

// --> without calling sequential()

// $ babel-node test/t.js
// a:a started
// b:a started
// a:a ended
// a:b started
// a:b ended
// a:c started
// b:a ended
// b:b started
// a:c ended
// done
// b:b ended
// b:c started
// b:c ended
// done