Question

a bank has an average of ten customers per hour arriving into the system and it takes an average of 30 minutes for the clerk to complete a transaction with a customer. what is the average length of the queue in the bank?

Answer 1

Consequently, the inventory's average queue length equals 5 consumers.

Flow time, also known as total processing time, is the length of time a flow unit spends in a business process from start to finish. Whenever there are several paths through a process, the flow time is equal to the length of the longest path.

Flow time (T) = 0.5 hours or 30 minutes

Arrival rate (R) equals ten clients per hour.

Let Inventory or the typical queue length be equal to I

By applying Little's law:

T = I/R

0.5 = I/10

I = 5 clients

Arrival Rate (R) equals ten clients per hour.

Time of flow (T) equals five minutes or 0.08333 hours.

Let stock equal I

By applying Little's law:

T = I/R

0.08333 = I/10

I equals 0.8333 clients

Consequently, the average number of customers in the store was 0.8333.

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