| OPTIMAL ASSEMBLY BY MONOTONIC PROPERTY |
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| 作者姓名： | 堵丁柱 F.K.Hwang |
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| 作者单位： | Institute of Applied Mathematics Academia Sinica，Beijing，China，AT&T，Bell Laboratories Murray Hill，New Jersey，U.S.A |
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| 摘 要： | Consider a system containing a type of n devices.Each device consists of mparts.Given mn parts for n devices with different working probabilities,how do we groupthem into n devices such that the system is most reliable.A monotonic grouping means thatthe best parts are put together,then the best remaining parts are put together,etc..Asufficient and necessary condition for such grouping being optimal will be given in thispaper.As an application,we show that the monotonic grouping is optimal for the two-stagek-out-of-n system.When m=2,we also study the grouping that the best pairs to the worst,the second best pairs to the second worst,etc.,associated with a redundant device problem.
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OPTIMAL ASSEMBLY BY MONOTONIC PROPERTY |
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| Du Dingzhu.OPTIMAL ASSEMBLY BY MONOTONIC PROPERTY[J].Journal of Systems Science and Complexity,1990(1). |
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| Authors: | Du Dingzhu |
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| Abstract: | Consider a system containing a type of n devices.Each device consists of mparts.Given mn parts for n devices with different working probabilities,how do we groupthem into n devices such that the system is most reliable.A monotonic grouping means thatthe best parts are put together,then the best remaining parts are put together,etc..Asufficient and necessary condition for such grouping being optimal will be given in thispaper.As an application,we show that the monotonic grouping is optimal for the two-stagek-out-of-n system.When m=2,we also study the grouping that the best pairs to the worst,the second best pairs to the second worst,etc.,associated with a redundant device problem. |
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| Keywords: | Reliability k-out-of-n system optimization monotone assignment |
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