What Is the Erlang C Formula?

We have put together a brief definition of the Erlang C Formula, and how it works in contact centres, as well as some great links for further reading and resources.

The Erlang C Formula Defined

The Erlang C formula is a mathematical equation for calculating the number of agents (advisors) that you need in a call centre, given the number of calls and the service level that you want to achieve.

Erlang Formula Inputs

The inputs to the Erlang C formula are:

• Incoming Contacts (calls)
• Reporting Period (minutes
• Average Handling Time (AHT) (seconds)
• Required Service Level Percentage
• Target Answer Time (seconds)

Example

For example you have 400 calls per half hour.  The average time taken to handle a call is 600 seconds and you want to answer 80% of the calls in 20 seconds.

There are also a number of ways to extend the basic formula

• Shrinkage – A factor to include holidays, meetings, training etc
• Maximum Occupancy (usually set to 85%
• Average time to abandon (used in the Erlang A formula)

Erlang Formula Outputs

The main output of the Erlang C formula is the number of agents needed to handle the contact volume.

Erlang C Formula Step By Step

The mathematics behind it can be quite complex but there is a good article that describes the Erlang C formula step-by-step.

The Erlang Calculator

Luckily the easiest way to use the Erlang C formula is to use an erlang calculator.

There are two main types of Erlang Calculator

• Online Erlang Calculator
• Excel Spreadsheet Erlang Calculator

Reviewed by: Robyn Coppell