Question: Situation: The system is a single server queuing system with the crew as the server and machines as the customers. The service time has a

Situation:

The system is a single server queuing system with the crew as the server and machines as the customers. The service time has a triangular distributio n (X1, 0), (X2, Y2) hours and inter arrival time distribution has an exponential distribution with a mean of 1/ hours. The Kendall Lee Notation is

M/ M/ s = 1/ FCFS/ / . The X1, X2, Y2 values are selected using your students number. See the table below.

Hours

Student

Number

X1

X2

1/

104143

1

4

3

Construct a table using the Monte Carlo simulation method and hand simulate for 25 customers.

  1. Determine the random numbers. You must show the random numbers.
  2. Construct a table for the arrivals and service times.
  3. Run the hand simulation.
  4. Calculate the average utilization rate or traffic intensity ()
  5. The average time (W) a student is in the system.
  6. The average time (Wq) a student is in line waiting for service.

Simulation Table add rows as needed

Random

Number

IT

ST

End of

Event

Customer

TM

SS

WL

AT

ST

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