EPSRC Reference: |
GR/M59549/01 |
Title: |
EQUILIBRIUM CONSTRAINTS AND NONLINEAR COMPLEMENTARITY |
Principal Investigator: |
Fletcher, Professor R |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Mathematics |
Organisation: |
University of Dundee |
Scheme: |
Standard Research (Pre-FEC) |
Starts: |
01 August 1999 |
Ends: |
31 July 2002 |
Value (£): |
125,083
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EPSRC Research Topic Classifications: |
Non-linear Systems Mathematics |
Numerical Analysis |
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EPSRC Industrial Sector Classifications: |
No relevance to Underpinning Sectors |
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Related Grants: |
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Panel History: |
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Summary on Grant Application Form |
It has become apparent over recent years that certain types of non-linear constraints (MPEC) cannot be handles satisfactorily with standard techniques for Non-linear Programming (NLP). Yet MPEC formulations are applicable to a wide variety of complex engineering design and operations management applications.Current Methodology for MPEC problems is at an early stage of development and failure is not uncommon. The proposer and Dr S. Layffer have recently developed new 'filter' methods for NLP, which performs well in comparison with existing NLP codes. It is proposed to extend this technique to the solution of MPEC problems, along with recent global convergence theory developed by the proposer.Another aim will be to tackle MPEC problems that also include integer or discrete variables. This is uncharted territory, even though examples of such problems are readily identified.The ultimate aim of the project is to develop robust solvers and apply them to existing and new models based on an MPEC formulation.
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Key Findings |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Project URL: |
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Further Information: |
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Organisation Website: |
http://www.dundee.ac.uk |