CMPT270 Intersession 2017 Assignment #3 Queue Analysis of the Tim Horton's Lineup for Coffe As mentioned in class, there are usually two ways in which customers are lined up for access to a number of service windows. Typically in a bank, there is one queue line for everyone and a number of windows. When a window becomes free, the next person at the head of the queue leaves the queue and proceeds to the window. People coming into the bank simply join the single queue at the tail of the queue At Tim's in Geology, we have the other approach to providing service. Every service window has its own queue. Typically when a person comes up to the lines, they choose the shortest line to join and then stay in that line. It can frustrate some people to see the longer line actually move faster and sometimes people will line hop (i.e. when the other line is shorter than the queue in front of me) So which is the best approach? In this assignment we are going to try and determine that. Here are the parameters for the simulation For both simulations you are to do the following: Run the simulation for 6 hours A new customer group arrives every 1 minute t 58 seconds e. as little as 2 seconds apart and as much as 1 min 50 seconds apart A group will consist of 1 to 6 customers following this distribution o 1 person 30% o 2 people-40% 3 people -20% o 4 people -5% o 5 people -3% o 6 people -2% Each person in the group joins the queue single file but we can use the same join time for each member of the group Average serving time for a customer is 2 minutes t 65 seconds. For each simulation below, report on the following: Maximum number of customers served Average number of customers served per window per hour Average wait time in the queue for each customer Maximum wait time in the queue Average queue length for each queue Maximum queue length for each queue Simulation #1 Simulate a scenario with two server windows and two queues. When a group of customers arrive each individual in the group will choose the same queue, but the first individual will choose the shortest queue