A service process shown above serves two types of customers. Type-1 customers mu

Question

A service process shown above serves two types of customers. Type-1 customers must go through the A-B-C-D-H process route while Type-2 customers must go through the A-B-E-F-G-H process route. The service time for each step is shown below. Step A, 5 minutes per customer Step B, 9 minutes per customer Step C, 11.1 minutes per customer Step D, 13.9 minutes per customer Step E, 13.5 minutes per customer Step F, 17.1 minutes per customer Step G, 12.8 minutes per customer Step H, 10 minutes per customer The process operates 9 hours per day If 58% of the customers are the Type-1 customers and the rest are the Type-2 customers, what is the average capacity per day for the service process? You must show your calculation steps on your spreadsheet Use at least 4 decimals in your calculation and answer

Explanation / Answer

Available time per day = 9 hours = 9*60 = 540 minutes

Calculate the flow capacity of each step by diving 540 by the processing time.

Capacity of step A = 540/5 = 108

Capacity of step B = 540/9 = 60

Capacity of step C = 540/11.1 = 48.6 rounded off

Capacity of step D = 540/13.9 = 38.8 rounded off

Capacity of step E = 540/13.5 = 40

Capacity of step F = 540/17.1 = 31.6 rounded off

Capacity of step G = 540/12.8 = 42.2 rounded off

Capacity of step H = 540/10 = 54

Step D has the minimum capacity for Type 1 customers and Step F has the minimum capacity for Type 2 customers.

Their total capacity add up to = 38.8+31.6 = 70.4

However, this is more than the minimum capacity of Step H. Therefore, H is the bottleneck.

Therefore, average process capacity = Capacity of Step H = 54 customers per day

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