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Department of Life Sciences
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Department of Electrical and Electronic Engineering
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    ABSTRACT: This work addresses the topic of constrained dynamic programming for problems involving multi-stage mixed-integer linear formulations with a linear objective function. It is shown that such problems may be decomposed into a series of multi-parametric mixed-integer linear problems, of lower dimensionality, that are sequentially solved to obtain the globally optimal solution of the original problem. At each stage, the dynamic programming recursion is reformulated as a convex multi-parametric programming problem, therefore avoiding the need for global optimisation that usually arises in hard constrained problems. The proposed methodology is applied to a problem of mixed-integer linear nature that arises in the context of inventory scheduling. The example also highlights how the complexity of the original problem is reduced by using dynamic programming and multi-parametric programming.
    Computers & Chemical Engineering 11/2014;
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    ABSTRACT: Quasi-static finite element analysis; Seismic design of tunnels; Equivalent linear site response analysis
    Soil Dynamics and Earthquake Engineering 11/2014; 66:206-219.
  • [Show abstract] [Hide abstract]
    ABSTRACT: A phase-field model for the computation of microstructure evolution for the bainite transformation has been developed. The model has a classical phase-field foundation, incorporates the phenomenological displacive transformation theory and the symmetric analysis of cubic crystals, and is able to reproduce realistic grain morphology and crystal orientation after adequate calibration. Using the free energy expression for the shape change of displacive transformations along with the free energy formula for the chemical free energy change of the two phases derived from established regular solution models, the current model is able to deal with autocatalysis.
    Computational Materials Science 10/2014; 77:230–235.


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C.E.P.R. Discussion Papers, CEPR Discussion Papers. 01/2001;
Science 330 (2010) 6010.

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