Perhaps the most efficient customer services center will work on several levels, with its own internal rules developed for different situations. It can help to maintain a reliable code so that workers know immediately what to focus on and which concerns take priority.
According to a profile piece by Bloomberg, this is exactly what the CEO of Amazon, Jeff Bezos, does to demand a high rate of customer satisfaction from his employees. The way it reportedly works is that Bezos himself will send certain emails regarding customer concerns to his own support centers and add a question mark.
Not all e-mail management teams may be familiar with this practice, but according to the article, that's all it takes to let workers there know that a certain inquiry requires them to move into high gear.
Amazon employees apparently use the term "escalation" to describe these priority messages, and while that sounds dramatic, it does convey the sense that these problems, which are coming straight from the head of the business, really matter. Your business might consider developing a similar "through line" to communicate importance quickly and earnestly to the customer support team workers who you employ.
With online customer services instigated, your company may enjoy custom arrangements that best work with the corporate setup you've built. Chances are you already have a system that works for your company, so why not extend that to the service centers that you take on? Professionals in this field will be able to understand your preference for efficiency and accommodate it in response.