CSC 222: Computer Programming II
HW6: Queues and Simulation
For this assignment, you are to complete the bank simulation project, which uses a
simulate customers arriving and being served in a small bank.
Recall the following assumptions:
The following classes have been
provided for you: Customer,
Server, and BankSimulator.
- There is only one teller, and customers are served on a first-come-first-served
- At any given minute of the day, there is a fixed probability of a
customer arriving at the bank. For example, if the arrival probability is 15, then
there is a 15% chance
that a customer will arrive at any given minute.
- The length of the transaction for a given customer, in minutes, is a random integer
between 1 and some fixed constant (initially set to 8 minutes).
Part 1: Implementing ServiceCenter
To complete the simulation, you are to implement the ServiceCenter class.
An object of this class
contains a single Server object for serving customers, and a queue of customers
waiting to be served. The
addCustomer method should create a new customer, add him/her to the
waiting queue, and display
information about the customer. The doBusiness method should increment the
current time and perform a step in the
simulation, checking to see if the teller has finished with a customer and, if so,
whether a new customer can be
served. It should also display a message if the teller finishes or begins serving a
customer. In addition, the getTime method should return the current simulation
time, and customersRemaining should return true if there are any customers
currently in the system.
For example, the output of the simulation should look like the following:
What is the time duration (in minutes) to be simulated? 10
What percentage of the time (0-100) does a customer arrive? 30
2: Adding customer 1 (job length = 4)
2: Serving customer 1 (finish at 6)
4: Adding customer 2 (job length = 3)
5: Adding customer 3 (job length = 1)
6: Finished customer 1
6: Serving customer 2 (finish at 9)
9: Adding customer 4 (job length = 3)
9: Finished customer 2
9: Serving customer 3 (finish at 10)
10: Finished customer 3
10: Serving customer 4 (finish at 13)
13: Finished customer 4
Part 2: Maintaining Statistics
Once you have the simulation working correctly, add a method named
displayStats that displays
statistics on the simulation. You should modify the ServiceCenter class so
that it keeps track of:
- the number of customers whose jobs have been completed,
- the average waiting time for all customers whose jobs have been completed, and
- the longest waiting time for any customer whose job has been completed.
The displayStats member function, when called, should display these
statistics in a readable form. Add
a call to the main method of BankSimulator so that displayStats is called
the end of the simulation to
Part 3: Analysis
Once you have your bank simulation program working, answer these questions:
- Assuming a banking day of 8 hours (480 minutes), how many customers would you expect
serve if the arrival probability were 20%. Do your simulations support this answer?
- Assuming a banking day of 8 hours and an arrival probability of 15%, what is the
wait time for customers at the bank. Run several simulations and comment on the
- Assuming a banking day of 8 hours, what arrival probability can the bank handle and
keep the maximum wait time for customers under 10 minutes. Explain how you came up with