Finite capacity multi-server queue with exponential arrivals and general distributed service (M/G/c/N)

To conduct the experiment, follow these detailed steps sequentially:

  1. Simulation Setup:

    • Begin by setting the parameters for the simulation:
      • Determine the mean arrival rate of customers.
      • Select the distribution for service times.
      • Specify the mean service rate.
      • Choose the number of servers for the M/G/c/N model.
  2. Stability Check:

    • Ensure that the mean arrival rate is less than the product of the mean service rate and the number of servers. This condition is crucial for the existence of a steady-state solution in the system.
  3. System Configuration:

    • Define the maximum number of customers that the system can accommodate.
  4. Initiating the Experiment:

    • Click on the 'Start' button to commence the experiment. This action triggers the simulation process with the defined parameters.
  5. Monitoring and Analysis:

    • As the experiment runs, monitor the system dynamics and performance metrics.
    • If desired, intervene by clicking the 'Stop' button to halt the experiment.
  6. Result Analysis:

    • After stopping the experiment, examine the steady-state results both numerically and graphically.
    • Compare the theoretical predictions with the experimental outcomes to assess the accuracy and validity of the model.