Enter the call arrival rate (calls/min) and the average call-holding time (min) into the Calculator. The calculator will evaluate the Erlang Loss Formula. 

Erlang Loss Formula

E = l * h

Variables:

  • E is the Erlang Loss Formula (calls)
  • l is the call arrival rate (calls/min)
  • h is the average call-holding time (min)

To calculate the calls from the Erland Loss Formula, multiply the call arrival rate by the average call-holding time.

How to Calculate Calls From Erlang Loss Formula?

The following steps outline how to calculate the calls from the Erlang Loss Formula.


  1. First, determine the call arrival rate (calls/min). 
  2. Next, determine the average call-holding time (min). 
  3. Next, gather the formula from above = E = l * h.
  4. Finally, calculate the Erlang Loss Formula.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

call arrival rate (calls/min) = 200

average call-holding time (min) = 100

FAQ

What is the Erlang Loss Formula used for?

The Erlang Loss Formula is primarily used in telecommunications to calculate the probability of call loss (i.e., calls that cannot be handled immediately and are either lost or blocked) in a system without queues. It helps in understanding the capacity requirements to maintain a desired service level for incoming calls.

How does call arrival rate impact the Erlang Loss Formula?

The call arrival rate directly impacts the Erlang Loss Formula as it is one of the key variables. A higher call arrival rate generally indicates a higher demand on the system, which, without adequate capacity, could lead to a higher probability of call loss according to the Erlang Loss Formula.

Can the Erlang Loss Formula be applied to any type of call center?

While the Erlang Loss Formula is versatile, it is specifically designed for systems that do not allow queuing of calls. For call centers that have queuing mechanisms in place, the Erlang C formula might be more appropriate as it is designed to calculate delays or wait times in queue systems.

Is it possible to reduce the probability of call loss calculated by the Erlang Loss Formula?

Yes, by adjusting the variables within the formula, such as increasing system capacity or reducing the average call-holding time, it is possible to reduce the probability of call loss. Strategic planning and resource allocation based on the formula's output can help in optimizing call center operations.