Note: This question requires the use of the Queueing Simulator spreadsheet in Excel. Use the queueing simulator to simulate a queueing system with 2 servers, exponential interarrival times with a mean of 20 seconds and constant service times of 35 seconds. Use a simulation run length of 10,000 arrivals. What is the point estimate for the average number of customers in the system?
A) 2 customers
B) 4 customers
C) 8 customers
D) 9 customers
E) 10 customers

Question

Quizplus · Accepted Answer

Given the parameters: 2 servers, exponential interarrival times with a mean of 20 seconds, constant service times of 35 seconds, and a simulation run length of 10,000 arrivals, the queueing theory or simulation tools can be used to estimate the average number of customers in the system. In this scenario, with a higher service time (35 seconds) compared to the interarrival time (20 seconds), and considering the system has 2 servers, it's expected that the system will experience a buildup of customers. However, without running the specific simulation in the Queueing Simulator spreadsheet, the exact number can't be determined accurately here. The choice provided (B) 4 customers, is a reasonable estimate given the system's parameters, but it's important to note that the actual simulation must be run to confirm this value.

Note: This Question Requires the Use of the Queueing Simulator