Problem: Waiting line theories are valuable tools in operations. One model is based on the Poisson arrival distribution, FIFO line discipline, and customers arrive at the rate of two per minute. This is a single phase operation and each server operates at the average rate of 160 customers served per hour. Management is concerned by the higher than desirable average time spent in the waiting line, Ws. Management needs to know what effect adding a second service line will have on the average time spent in the waiting line.
1) Identify the queuing models in each scenario
2) Calculate the average number of customers in line for both scenarios
3) Find the average wait time in each queue
4) What benefit is available by adding the second service line? What other factors should management consider?