A simulation model of a job shop was developed to investigate different scheduling rules. To validate the model,
A simulation model of a job shop was developed to investigate different scheduling rules. To validate the model,
the scheduling rule currently used was incorporated into the model, and the resulting output was compared against observed system behavior. Four sets of input data were collected over four different 10-day periods, together with the average number of jobs in the shop Zi for each period. The input data were used to drive the simulation model for four runs of 10 days each, and model predictions of average number of jobs in the shop Yi were collected, with these results:
| Runi | 1 | 2 | 3 | 4 |
| Observed Average Zi | 21.7 | 19.2 | 22.8 | 19.4 |
| Simulated Average Yi | 24.6 | 21.1 | 19.7 | 24.9 |
(a) Conduct a statistical test to check for the consistency of system output and model output. Use the level of significance α = 0.05.
(b) If a difference of two jobs is viewed as important to detect, what sample size is required to guarantee a probability of at least 0.80 of detecting this difference, if it indeed exists? (Use α = 0.05)
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