Consider the case of Conrad's Cookie Company, where he and two of his friends (Jared and Jack) are working to make and sell cookies.  They have just one oven and can bake up to two dozen cookies at a time. The oven can bake two dozen cookies simultaneously (of similar or different ingredients) or one dozen only. If one dozen is baking in the oven, baking time will not be any different from baking two dozen simultaneously. The sequence of baking steps and respective durations are below.   Mixing and Spooning (together) 3 minutes of labor time per dozen Loading 1 minutes per dozen. Baking 8 minutes of baking time for one or two. Cooling 6 minutes; Packing 5 minutes of labor time per dozen cookies Payment (to be done after packing only) 1 minutes of labor time per order   If all orders are 4 dozen cookies, a) What is the best way to assign Conrad and his friends to jobs in order to maximize capacity? Find highest theoretical capacity and bottleneck of the process.  b) Draw a Gantt Chart in Excel for the process of part (a). Once system warms up, is the capacity the same as what you found in part (a)? Find throughput time of orders. Throughput time is from order placement until payment processing completion.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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Consider the case of Conrad's Cookie Company, where he and two of his friends (Jared and Jack) are working to make and sell cookies.  They have just one oven and can bake up to two dozen cookies at a time. The oven can bake two dozen cookies simultaneously (of similar or different ingredients) or one dozen only. If one dozen is baking in the oven, baking time will not be any different from baking two dozen simultaneously. The sequence of baking steps and respective durations are below.

 

Mixing and Spooning (together)

3 minutes of labor time per dozen

Loading

1 minutes per dozen.

Baking

8 minutes of baking time for one or two.

Cooling

6 minutes;

Packing

5 minutes of labor time per dozen cookies

Payment (to be done after packing only)

1 minutes of labor time per order

 

If all orders are 4 dozen cookies,

a) What is the best way to assign Conrad and his friends to jobs in order to maximize capacity? Find highest theoretical capacity and bottleneck of the process. 

b) Draw a Gantt Chart in Excel for the process of part (a). Once system warms up, is the capacity the same as what you found in part (a)? Find throughput time of orders. Throughput time is from order placement until payment processing completion. 

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