Reference no: EM132977827

Question: The following is a description of the front-of-house process at the dining commons:

Customers enter the process every 0.5 minutes following an exponential distribution. They join one of three lines: 40% go to the sub line (capacity: 6), 40% go to the coffee line (capacity: 8) and 20% go to the pizza line (capacity 7). From the sub line customers go to the sub station (processing time: 2.05 minutes, with a standard deviation of 0.95 minutes following a normal distribution). After they are done at the sub station, 30% of the customers join the coffee line and the rest (70%) join the pay line. From the coffee line customers go to the coffee station. Processing time is 1 minute with a standard deviation of 0.25 minutes following a normal distribution. When customers are finished at the coffee station they join the pay line. From the pizza line customers go to the pizza counter. Processing time is 0.9 minutes with a standard deviation of 0.3 minutes following a normal distribution. When customers are finished at the pizza station they join the pay line. The pay line has a capacity of 10. At the pay station payment takes 0.55 minutes with a standard deviation of 0.25 minutes following a normal distribution. There are 2 full-time employees at the sub station. All other stations (coffee, pizza and pay) each have 1 full-time employee. Assume that you are modeling the time period 11.30am to 2.30pm and that at 11.30am there are 3 customers in the sub line, 1 customer in the coffee line, 2 customers in the pizza line and one customer in the pay line.

Part 1: Construct a process flow map of the process at the dining commons. Ensure that you summarize all key information relating to the process on the process flow map.