Customers arrive at a common queue at the coffee station with two identical coffee machines in a busy mall at the rate of 48 per hour, following Poisson distribution. Each customer mixes his or her specialty coffee taking 2 minutes on an average following an exponential process. What is the expected number of customers in the system at this coffee station?
infinity
2.844
2.444
4.444
3
Expert Answer
This is a M/M/s queue model
Arrival rate, λ = 48 per hour
Service rate, μ = 60/2 = 30 per hour
Number of servers, s = 2
Expected number of customers in system L(s) = 4.444
https://d2vlcm61l7u1fs.cloudfront.net/media%2F184%2F18496110-1d2a-4d87-8959-3057f9bb9f6f%2FphpSrQTVp.png
Formula:
B12 =($B$4/$B$5)^A12/FACT(A12) copy to
OR
PayPal Gateway not configured
OR
PayPal Gateway not configured