Kelton, Chapter 4.10, Problem 13

Given:
1. A manufacturing process that involves drilling holes in a steel plate.
2. The drilling machine has a capacity of 3 (c=3).
3. Arrival rate is 120 parts per hour.
4. Processing rate 50 parts per hour.
5. The process runs for 100 hours.


Find:
1. Number of entities created.
2. Number that completed service.
3. Average time entities spend in the system.

Part 1: Results from MMC calculator
Input (\(\lambda, \mu,c\)) as (\(120, 50, 3\))



Part 2: Simio Model Setup


Part 3: Simio Results

Source Entity Interarrival Time: Random.Exponential 0.5 (120 parts arriving in 60 minutes)
Server Service Time: Random.Exponential 60/50 (50 parts processed in 60 minutes)
Server Intial Capacity: 3.
Experiment: 100 hours, 10 runs.


  1. Number of entities created. 11,969
  2. Number that completed service. 11,965
  3. Average time entities spend in the system. 2.5 minutes, or 0.0418 hours.