A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution.
-The expected number of customers in the system is:
A) 3.0
B) 1.5
C) 1.0
D) .90

Question

Quizplus · Accepted Answer

The arrival rate (λ) is 3 customers per hour, and the service rate (μ) is 5 customers per hour (since 60 minutes/12 minutes per customer = 5). The expected number of customers in the system (L) is given by L = λ / (μ - λ) = 3 / (5 - 3) = 1.5.

A Single-Server Waiting Line System Has an Arrival Pattern Characterized