Thank you in advance! 3. Figure 5.11 details the process flow for two types of b

Question

Thank you in advance!

3. Figure 5.11 details the process flow for two types of b. If30 percent of the customers are Type A customers customers who enter Barbara's Boutique shop for customized dress alterations. After Step T1, Type A customers proceed to Step T2 and then to any of the three workstations at T3, followed by Steps T4 and T7 After Step T1, Type B customers proceed to Step T5 and thon Stops T6 and T7. The numbers in parentheses are the minutes it takes to process a customer and 70 percent arc Type B customers, what is the average capacity of Barbara's shop in customers per hour? c. Assuming that the arrival rate is greater than five customers per hour, when would you expoct Type A customers to experience waiting lines, assuming no Type B customers in the shop? Where would the Type B customers have to wait, assuming no Type A customers? a. what is the capacity of Barbara's shop in terms of the numbers of Type A customers who can be served in an hour? Assume no customers are waiting at Steps T1 or T7. T3-a 14) FIGURE 5.11 Process Flow for Barbara's Boutique Customers T4 18) Type A (10 T3- C T1 (12) Type A or B? T7 (10) Type B T5 (15) T6 22)

Explanation / Answer

(a)

Consider a 14 minutes time spend in T3. The following table shows the number of customers that can be served in this 14 minutes.

So, in a 14 minutes time span, it is possible to serve 3.673 customers in T3. So, the effective cycle time of T3 is 14 / 3.673 = 3.81 minutes.

* Capacity = 60 / Cycle time

The minimum capacity station is T4 (bottleneck). This is the capacity of the system as well. So, it is possible to serve a maximum of 3.33 Type A customers per hour.

b.

Similarly, the capacity analysis table for B type customers is:

Capacity = 2.727 customers per hr.

So, the effective capacity of the entire system = 3.333 x 30% + 2.727 x 70% = 2.91 customers per hr.

c.

For Type A customers, the waiting lines will be observed just before T2 and T4 because these are the stations where the capacity is less than 5 per hr.

For Type A customers, the waiting lines will be observed just before T5 and T6 because these are the stations where the capacity is less than 5 per hr.

Cycle time Minute spent # served T3-a 14 14 = 1 x 14/14 = 1.000 T3-b 10 14 = 1 x 14/10 = 1.400 T3-c 11 14 = 1 x 14/11 = 1.273 Total 3.673

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