Consider the following four-step process. Assume demand arrives at a rate of 6 j

Question

Consider the following four-step process. Assume demand arrives at a rate of 6 jobs per hour.

Station

Processing Time (minutes)

Number of Workers

A

2.5

1

B

5.0

1

C

3.0

1

D

4.0

1

a. Supporting your answers with “paper-and-pencil” calculations, answer the following questions.
i. What is the utilization of each station? What is the bottleneck?
ii. What is the average flow time?
iii. With sufficient demand, what is the maximum throughput rate achievable by the process?
iv. What is the average throughput rate?
v. What is the average time between items?
vi. What is the average work-in-process?

Station

Processing Time (minutes)

Number of Workers

A

2.5

1

B

5.0

1

C

3.0

1

D

4.0

1

Explanation / Answer

Utilisation = flow rate/ capacity

Capacity:

A = 1/2.5 = 0.4

B = 1/5 = 0.2

C = 1/3 = 0,33

D =1/4 = 0.25

Flow rate = 1/5

Utilisation:

A= 0.2*2.5 = 0.5

B = 0.2*5 = 1

C = 0.2*3 = 0.6

D = 0.2* 4 = 0.8

Bottleneck = Process statement with lost capacity = C

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