Problem 1: A small factory consists of a machining center and inspection station in series. Unfinished parts arrive to the factory with exponential times having mean of 2 minutes. Processing times at the machine are uniform on the interval [0.75, 0.80] minutes, and subsequent inspection times at the inspection station are uniform on the interval [0.75, 0.80]. Ninety percent of inspected parts are "good" and are sent to shipping; 10 percent of the parts are "bad" and are sent back to the machine for rework. Both queues are assumed to have infinite capacity.
Let Yi be a random variable representing the number of parts produced during the ith hour. Generate 10,000 Yi's and compute ten sample means and sample variances using 1,000 Yi's each, respectively. Comment on the convergence of Yi to the steady-state distribution.
NOTE: The above problem must be done in Arena and the output should be exported to an Excel file. Please send both the Arena and Excel file. I believe you have to use the rewrite module in advanced processes for this problem. Also, your means and standard deviations should be about 30. I appreciate your help!
Problem 2: Consider the same factory in the problem above. Assume that there is a 30-minute lunch break during the first 30 minutes of the fifty hour of an eight-hour shift. Let yiC be a random variable representing the hourly production rate of the ith shift. Compute sample means and sample variances as in the problem above. Comment on the convergence of the steady-state distribution yC