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Please use this identifier to cite or link to this item: http://dspace.lib.cranfield.ac.uk/handle/1826/3072

Document Type: Article
Title: Bidirectional branch and bound for controlled variable selection. Part I: Principles and minimum singular value criterion.
Authors: Cao, Yi
Kariwala, Vinay
Issue Date: 2008
Citation: Yi Cao, Vinay Kariwala, Bidirectional branch and bound for controlled variable selection. Part I: Principles and minimum singular value criterion, Computers & Chemical Engineering, Volume 32, Issue 10, 17 October 2008, Pages 2306-2319
Abstract: The minimum singular value (MSV) rule is a useful tool for selecting controlled variables (CVs) from the available measurements. However, the application of the MSV rule to large-scale problems is difficult, as all feasible measurement subsets need to be evaluated to find the optimal solution. In this paper, a new and efficient branch and bound (BAB) method for selection of CVs using the MSV rule is proposed by posing the problem as a subset selection problem. In traditional BAB algorithms for subset selection problems, pruning is performed downwards (gradually decreasing subset size). In this work, the branch pruning is considered in both upward (gradually increasing subset size) and downward directions simultaneously so that the total number of subsets evaluated is reduced dramatically. Furthermore, a novel bidirectional branching strategy to dynamically branch solution trees for subset selection problems is also proposed, which maximizes the number of nodes associated with the branches to be pruned. Finally, by replacing time-consuming MSV calculations with novel determinant based conditions, the efficiency of the bidirectional BAB algorithm is increased further. Numerical examples show that with these new approaches, the CV selection problem can be solved incredibly fast.
URI: http://dx.doi.org/10.1016/j.compchemeng.2007.11.011
http://dspace.lib.cranfield.ac.uk/handle/1826/3072
Appears in Collections:Staff publications - School of Engineering

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