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Optimal redundancy allocation problems in engineering systems with dependent component lifetimes
Author(s) -
Jeddi Hamideh,
Doostparast Mahdi
Publication year - 2015
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2144
Subject(s) - spare part , orthant , redundancy (engineering) , component (thermodynamics) , mathematical optimization , computer science , quadratic equation , reliability (semiconductor) , optimal allocation , order (exchange) , reliability engineering , mathematics , engineering , economics , physics , operations management , power (physics) , geometry , finance , quantum mechanics , thermodynamics
This paper deals with the problem of allocating spare components for improving the system reliability when lifetimes of components are dependent. Two policies, called active and standby redundancies, are investigated in details. The optimal allocations are given without specific assumptions on the dependency structure among the component lifetimes. When there exist the (positive/negative) quadratic dependence and (upper/lower) orthant order among the component lifetimes, the derived results are simplified. Various illustrative examples are also given. Copyright © 2015 John Wiley & Sons, Ltd.