Question

Question: On average, how many cars do you expect to have in the drive-thru line? (Include those waiting to place orders and those waiting for food.)

Short answer

Answer

Drive-thru line: A drive-through or drive-thru is a type of take-out service provided by a business that allows customers to purchase products without leaving their cars.

Step-by-step solution

Drive-thru line

In a conventional drive-thru requesting framework, clients pay for their nourishment through the pickup window after setting their arrangement and sometimes getting their nutrition. Instalment more often than not includes a handoff of cash or card between the client and a staff.

Assume customer arrival to be Poisson distributed and service to be exponentially distributed

Arrival rate ($\lambda$) = 1 in 40 sec = 90 customers per hour.

Service rate for service champion$\left({\mathrm{\mu }}_{\mathrm{s}}\right)$= 120 per hour

Service rate for food champion$\left({\mathrm{\mu }}_{\mathrm{f}}\right)$= 100 per hour with 2 servers

Average total number in the system

= Average total number in the service champion system + Average total number in the food champion system