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Bidirectional branch and bound for controlled variable selection Part I : principles and minimum singular value criterion

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : Bidirectional branch and bound for controlled variable selection Part I : principles and minimum singular value criterion
นักวิจัย : Cao, Yi , Kariwala, Vinay
คำค้น : DRNTU::Engineering::Chemical engineering , DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering , DRNTU::Science::Mathematics::Applied mathematics::Optimization
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2551
อ้างอิง : Cao, Y., & Kariwala, V. (2008). Bidirectional branch and bound for controlled variable selection part I : principles and minimum singular value criterion. Computers and Chemical Engineering, 32(10), 2306-2319. , 0098-1354 , http://hdl.handle.net/10220/4513 , http://dx.doi.org/10.1016/j.compchemeng.2007.11.011
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Computers and chemical engineering
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

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.

บรรณานุกรม :
Cao, Yi , Kariwala, Vinay . (2551). Bidirectional branch and bound for controlled variable selection Part I : principles and minimum singular value criterion.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Cao, Yi , Kariwala, Vinay . 2551. "Bidirectional branch and bound for controlled variable selection Part I : principles and minimum singular value criterion".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Cao, Yi , Kariwala, Vinay . "Bidirectional branch and bound for controlled variable selection Part I : principles and minimum singular value criterion."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2551. Print.
Cao, Yi , Kariwala, Vinay . Bidirectional branch and bound for controlled variable selection Part I : principles and minimum singular value criterion. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2551.