Question: The system is a single-server queueing system with the crew as the server and machines as the customers. The service time has a triangular distribution

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

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

Construct a table using the Monte Carlo simulation method and hand simulates 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 (ƿ)
  5. The average time (W) a student is in the system.
  6. The average time (Wq) a student is in line waiting for service.
  7. .
    Hours - 1/1 Student Number 88095 120721 100730 83478 92092 63967 124201 114276 105626 87805 u NNW NW WO 000 NON 


Hours Student Y2 - 1/A Number X1 X2 88095 5 8. 120721 7 100730 3 10 83478 7 8 92092 2 9 63967 3 6. 7 124201 2 4 6. 114276 2 6. 7 105626 10 12 87805 5 7 8.

Step by Step Solution

3.51 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!