Geodesic
A Two-Phase Linear Programming Approach for Redundancy Allocation Problems
Yugoslav journal of operations research, Tome 12 (2002) no. 2, p. 227 .

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Provision of redundant components in parallel is an efficient way to increase the system reliability, however, the weight, volume and cost of the system will increase simultaneously. This paper proposes a new two-phase linear programming approach for solving the nonlinear redundancy allocation problems subject to multiple linear constraints. The first phase is used to approximately allocate the resource by using a general linear programming, while the second phase is used to re-allocate the slacks of resource by using a 0-1 integer linear programming. Numerical results demonstrate the effectiveness and efficiency of the proposed approach.
Classification : 90C05 90C10
Keywords: Two-phase linear programming, redundancy allocation. 
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     author = {Yi-Chih Hsieh},
     title = {A {Two-Phase} {Linear} {Programming} {Approach} for {Redundancy} {Allocation} {Problems}},
     journal = {Yugoslav journal of operations research},
     pages = {227 },
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     volume = {12},
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     year = {2002},
     zbl = {1075.90536},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2002_12_2_a6/}
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Yi-Chih Hsieh. A Two-Phase Linear Programming Approach for Redundancy Allocation Problems. Yugoslav journal of operations research, Tome 12 (2002) no. 2, p. 227 . http://geodesic.mathdoc.fr/item/YJOR_2002_12_2_a6/