QUESTION ONE: (25 MARKS)

1. Assume that you are a bank manager whose banks has wrong queues and customers take long to be served.

Required:

1. Using a well labeled diagram describe the components of a queuing system (4 marks)
2. Describe the various costs involved in a queuing system and highlight their implications to the bank customer and the bank. (4 marks)
3. Describe three performance measure that you would require from a queuing analysis after simulating the system using a model. (3 Marks)

2. Name any two principal entities, attributes and activities to be considered for the simulation of the following system: (6 Marks)
   1. University Registration System
   2. Railway Reservation System

3. Using the mid-square method generate random variates on the U [0,1] using Z₀ =1009 until it degenerates to zero. (5 Marks)
4. Explain why it is not possible to study with the actual system hence the need for a model (3 Marks)