This problem presents a Ticket booking system.

Customer arrive at a ticket counter for collecting ticket.   Customers arrive the counter with exponentially distributed inter-arrival times of mean 5 minutes.  60% of the customer is male and remaining are female.

Before going to ticket counter they need to go to the Checking Counter for some checking (Like whether they have their id and other necessary document with them or not). Here one checking counter for male and one for female customer. Checking time for men is uniformly distributed between 3 and 5 minutes and for women 4 to 6 minutes.  10% of both of them leave the counter and rest of them enter for collecting ticket. Here only one counter for collecting ticket is exist. Both male and female customer, enter in the ticket counter each customer needs 5 minutes to collect his or her ticket. We are interested in simulating the system for 40 hours to obtain process utilizations.

Find out:

1.      The number of  male and female customer enter in the system

2.      The number of male and female customer leave the system by collecting ticket

3.      The number of male and female customer leave the system without collecting ticket