Panini, a popular sandwich shop, offers 3 types of sandwiches: Grill vegetables,

Question

Panini, a popular sandwich shop, offers 3 types of sandwiches: Grill vegetables, grilled chicken and pastrami. The table below provides demand data:

Grilled Vegetables

Grilled Chicken

Pastrami

Demand per hour

25

50

10

There are up to five steps in the process of making sandwiches, listed below with activity times. Only 50% of customers want their sandwich toasted, no matter which sandwich is ordered.

Step

Grilled Vegetables

Grilled Chicken

Pastrami

Cut bread

.75 minutes

.75 minutes

.75 minutes

Grill

1.4 minutes

1.4 minutes

-

Slice meat

-

-

3 minutes

Toast

2 minutes

2 minutes

2 minutes

Wrap

.5 minutes

.5 minutes

.5 minutes

Suppose Panini employs 1 worker at each step. What is the implied utilization of the bottleneck of this process?

Please include an explanation.

Grilled Vegetables

Grilled Chicken

Pastrami

Demand per hour

25

50

10

Explanation / Answer

Total demand for sandwiches = 85

Considering the workload at each step in number of minutes for the sandwich making process -

Step 1 - Cut bread

Workload = 0.75*85 = 63.75 minutes

Utlization = 63.75/60 = 1.06

Step 2 - Grill

Workload = 1.4*75 = 105 minutes (as pastrami doesn't require to go through this step)

Utilization = 105/60 = 1.75

Step 3 - Slice meat

Workload = 3*10 = 30 minutes (only Pastrami requires this step)

Utlization = 30/60 = 0.5

Step 4 - Toast

Workload = 2*0.5*85 = 85 minutes (only 50% customers require the sandwiches to be toasted)

Utilization = 85/60 = 1.42

Step 5 - Wrap

Workload = 0.5*85 = 42.5 minutes

Utilization = 42.5/60 = 0.71

Hence, highest utilization of bottleneck is 1.75

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