An algebraic geometry algorithm for scheduling in presence of setups and correlated demands
Mathematical Programming: Series A and B
A branch and bound algorithm for designing reliable systems at a minimum cost
Applied Mathematics and Computation
IEEE Computational Science & Engineering
Buchberger Algorithm and Integer Programming
AAECC-9 Proceedings of the 9th International Symposium, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Expert Systems with Applications: An International Journal
An exact rational mixed-integer programming solver
IPCO'11 Proceedings of the 15th international conference on Integer programming and combinatoral optimization
On the computational complexity of reliability redundancy allocation in a series system
Operations Research Letters
Valid Linear Programming Bounds for Exact Mixed-Integer Programming
INFORMS Journal on Computing
Hi-index | 0.01 |
The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple component choices while ensuring a given system reliability level. The obtained model is a nonlinear integer programming problem with a nonlinear, nonseparable constraint. We propose a method based on the construction of a test set of an integer linear problem, which allows us to obtain an exact solution of the problem. It is compared to other approaches in the literature and standard nonlinear solvers.