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Make the formulation in dynamic programming of the problem

Make the formulation in dynamic programming of the problem

Practical Management Science
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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2. An electronic device has three components. Those components are in series, so the failure of one causes the failure of the device. The reliability (probability that there is no fault) the device can be improved by installing one or two drives reserve in each component. The following table shows the reliability r and the cost c (see image). The capital available for the manufacture of the device is $10,000. How should the device be manufactured? Make the formulation in dynamic programming of the problem. Hint: The objective is to maximize reliability, that is, the function is multiplicative, not additive.

number of units in parallel 1 2 3 r1 C1 12 C2 T3 0.6 1000 0.7 3000 0.5 0.8 2000 0.8 5000 0.7 0.9 3000 0.9 6000 0.9 C3 2000 4000 5000
Transcribed Image Text:number of units in parallel 1 2 3 r1 C1 12 C2 T3 0.6 1000 0.7 3000 0.5 0.8 2000 0.8 5000 0.7 0.9 3000 0.9 6000 0.9 C3 2000 4000 5000
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