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arXiv · 1203.3307

Exact cost minimization of a series-parallel system

F. Castro·J. Gago·I. Hartillo·J. Puerto·J. M. Ucha
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Abstract

The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple component choices whereas ensuring a given system reliability level. The obtained model is a nonlinear integer programming problem with a non linear, non separable constraint. We propose an algebraic method, based on Gröbner bases, to obtain the exact solution of the problem. In addition, we provide a closed form for the required Gröbner bases, avoiding the bottleneck associated with the computation, and promising computational results.

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F. Castro, J. Gago, I. Hartillo, J. Puerto, J. M. Ucha. 2012-03-15. Exact cost minimization of a series-parallel system. https://arxiv.org/abs/1203.3307

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