Aveda is a very popular hair salon. It offers high-quality hair-styling and physical relaxation services at a reasonable price, so it always has unlimited demand. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parenthesis):
Activity 1: Welcome a guest and offer homemade herb tea. (10 minutes)
Activity 2: Wash and condition hair. (10 minutes)
Activity 3: Neck, shoulder, and back stress release massage. (10 minutes)
Activity 4: Design the hair style and do the hair. (25 minutes)
Activity 5: Check out the guest. (5 minutes)
Three servers (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to servers is the following:
S1 does Activity 1.
S2 does Activities 2 and Activity 3.
S3 does Activities 4 and Activity 5.
a. Which server is the bottleneck of the process? (5%)
b. What is the utilization of server 2? (You can assume that the process operates at capacity and you do not have to consider any ’empty system’ effects.) (5%)
c. Suppose you reassign Activity 5 to server 1 (relieve server 3 from activity 5). How many more customers can you serve on an 8-hour working day (fractional value is fine). Assume that the process operates at its capacity and there are no empty-system effects. (5%)