Do you think that customer service should attend to one customer at a time?

As a customer service agent you must at least attend one customer at a time so that you can assist everything he/she needed. And you can focus to her/him attentively without thinking other customer.

Yes, It is better to handle one customer at a time .But sometimes the other customer , may have some imminent queries. In this case I will decide where i should concentrate first . If both cases are same I will seek help from my colleagues to help the other customer.  

It is a bit tricky. If you focus on one customer only and ignored the rest, then there is a high probability other customers will leave.  If you distribute your effort on many customers at one time, you should have the skills to accommodate them in a smart way, yet keep them on board. 

Yes, Customer Service Agents should focus on one customer at a time especially when the customer has approached you with Quality or Service Issue. It may further damage the relationship if the solution is not provided quickly.

yes it's better to focus at one customer at a time 

Yes. In this we create an environment where the customer feels that he is the primary responsibility and creates a healthy environment.

Yes. This makes customer fill like a partner in the business. Thus making it possible for you to fully understand what a customer wants and respond to his/her demands uninterruptedly.

Yes, no doubt. As in several other areas if not recommended to try to do several tasks at the same moment. 

Yes, this way he will be giving undivided attention and resolving their problems in timely and efficiently manner.

no , customer service , can be multiple one, no organization , has a interest, in handling one customer, it makes , no sense.