Reference no: EM132813323
Questions -
Q1. A customer who wants a coffee moves sequentially to 2 stations staffed by 4 employees in a Starbucks:
The customer first moves to one of the two cash registers where Alex and Bob are working.
One of them places the order and accepts payment. There is one extra cash register where no one is working.
Next, one of either Charlotte or David makes the coffee using a coffee machine. Both Charlotte and David have their own coffee machines. There are two extra coffee machines which are not used by anyone.
The time for placing an order and accepting payment is 30 seconds. The time for making the coffee is 60 seconds.
Note: Alex & Bob take the same amount of time to do their tasks.
Charlotte & David take the same amount of time to do their tasks.
(a) Draw the process flow diagram for the above process.
(b) What is the process capacity and what is (are) the bottleneck(s) of the process?
(c) What is the cycle time of the process?
(d) What is the theoretical flow time of the process?
(e) Starbucks recruits two new staff members, Emily and Frank. It takes either Emily or Frank 30 seconds to place an order & accept payment, and 60 seconds to make a coffee. To improve the process capacity, which tasks should Emily and Frank be assigned to? What is the new process capacity and the new bottleneck(s)? [Hint: First determine which task Emily should be assigned to. Then, based on the modified process, determine which task Frank should be assigned to improve the process capacity.]
Q2. There is a process using 4 resources: A, B, C and D. The process flow diagram is shown below, along with the capacities for each of the resources:
(a) What is the bottleneck of the process, and what is the process capacity?
(b) What is the cycle time of the process?
(c) What is the theoretical flow time of the process, i.e. assuming there is no waiting in the buffers?
(d) Suppose that the process is operating at capacity. Assuming there are 3 flow units in the system on average, what is the total time spent waiting in the buffers on average? [Hint: Use Little's law to compute actual flow time.]
Q3. Gary manages a receiving station for peanuts. Peanut-filled trucks arrive at the rate 10 every hour from 6:00 am to 6:00 pm. Each truck contains 75 kilograms of peanuts. Gary can process them at a rate of 500 kilograms an hour. The station has room to hold only 2000 kilograms of peanuts in inventory prior to processing. Once this space is filled, the trucks must wait to unload their contents.
(a) Draw the inventory build-up diagram.
(b) At what time will the last truck depart Gary's receiving station?
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