, indicates the Owners key is open. M=0,indicates the Managers key is off. N=1, indicates the Nominees key is open L=0 means the locker is off. The locker(L) can be open only for the following conditions: If the Manager’s key and nominee’s keys are open but the owner key is close. OR If the Manager’s and owner’s keys are open but the other key is close. OR If the Owner’s key is open but the other keys are close. OR If all keys are open. i. Find the Boolean function for the above systems outputs 2 ii. Simplify the output functions using Boolean Algebra. 2

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
Problem 7P
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A bank locker system has one lock and three keys.
O=1, indicates the Owners key is open.
M=0,indicates the Managers key is off.
N=1, indicates the Nominees key is open
L=0 means the locker is off.
The locker(L) can be open only for the following conditions:
If the Manager’s key and nominee’s keys are open but the owner key is close. OR
If the Manager’s and owner’s keys are open but the other key is close. OR
If the Owner’s key is open but the other keys are close. OR
If all keys are open.
i. Find the Boolean function for the above systems outputs 2
ii. Simplify the output functions using Boolean Algebra. 2
2.

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