The 4M company has a lathe as the centerpiece of the plant's work. The jobs arrive according to a Poisson process with an average rate of 2 per day. The processing time of each job is exponentially distributed with an average of 1/ 4 day. Since the jobs are large, if they are not in process they are stored in a warehouse some distance from the machine. However, to save time in bringing them in, the production manager proposes to add space for 3 in-process jobs in addition to the one on the lathe (the rest will continue to be stored). With this proposal, what proportion of the time will the space next to the lathe be adequate for the waiting jobs? Calculate your answer using the formulas available.
The 4M company has a lathe as the centerpiece of the plant's work. The jobs arrive according to a Poisson process with an average rate of 2 per day. The processing time of each job is exponentially distributed with an average of 1/ 4 day. Since the jobs are large, if they are not in process they are stored in a warehouse some distance from the machine. However, to save time in bringing them in, the production manager proposes to add space for 3 in-process jobs in addition to the one on the lathe (the rest will continue to be stored). With this proposal, what proportion of the time will the space next to the lathe be adequate for the waiting jobs? Calculate your answer using the formulas available.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The 4M company has a lathe as the centerpiece of the plant's work. The jobs arrive according to a Poisson process with an average rate of 2 per day. The processing time of each job is exponentially distributed with an average of 1/ 4 day. Since the jobs are large, if they are not in process they are stored in a warehouse some distance from the machine. However, to save time in bringing them in, the
With this proposal, what proportion of the time will the space next to the lathe be adequate for the waiting jobs? Calculate your answer using the formulas available.
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