Matching problem in JavaScript

matching.js

// Problem from Concurrent Programming course exercises
// Two kinds of processes Man and Woman pair off with the help of a Matcher

function random(max) {
    return Math.floor(Math.random()*max);
}

function Man(name) {
    setTimeout(function run() {
        matcher.Man(name, function(pair) {
            console.log(name + ' paired off with ' + pair);
            setTimeout(run, random(1000));
        });
    }, random(1000));
}

function Woman(name) {
    setTimeout(function run() {
        matcher.Woman(name, function(pair) {
            console.log(name + ' paired off with ' + pair);
            setTimeout(run, random(1000));
        });
    }, random(1000));
}

function Matcher() {
    var self = this;
    var men = [];
    var women = [];
    
    var process = function() {
        while (men.length > 0 && women.length > 0) {
            men[0].callback(women[0].name);
            women[0].callback(men[0].name);
            men.splice(0,1);
            women.splice(0,1);
        }
    }

    self.Man = function(name, callback) {
        men.push({ name: name, callback: callback });
        process();
    }

    self.Woman = function(name, callback) {
        women.push({ name: name, callback: callback });
        process();
    }
}

var matcher = new Matcher();

for (var i = 0; i < 3; i++) {
    Man('Man' + i);
}

for (var i = 0; i < 5; i++) {
    Woman('Woman' + i);
}