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Article . 2009 . Peer-reviewed
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Article . 2009
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Concurrent processing of mixed‐integer non‐linear programming problems

Concurrent processing of mixed-integer non-linear programming problems
Authors: Östermark, Ralf;

Concurrent processing of mixed‐integer non‐linear programming problems

Abstract

Summary: The platform combines features from classical non-linear optimization methodology with novel innovations in computational techniques. The system constructs discrete search zones around noninteger discrete-valued variables at local solutions, which simplifies the local optimization problems and reduces the search process significantly. In complicated problems fast feasibility restoration may be achieved through concentrated Hessians. The system is programmed in strict ANSI C and can be run either stand alone or as a support library for other programs. File I/O is designed to recognize possible usage in both single and parallel processor environments. The system has been tested on Alpha, Sun and Linux mainframes and parallel IBM and Cray XT4 supercomputer environments. The constrained problem can, for example, be solved through a sequence of first order Taylor approximations of the non-linear constraints and feasibility restoration utilizing Hessian information of the Lagrangian of the MINLP problem, or by invoking a nonlinear solver like SQP directly in the branch and bound tree. minlp\_machine( ) has been tested as a support library to genetic hybrid algorithm (GHA). The GHA(minlp\_machine) platform can be used to accelerate the performance of any linear or non-linear node solver. The paper introduces a novel multicomputer partitioning of the discrete search space of genuine MINLP-problems.

Related Organizations
Keywords

parallel programming, Mixed integer programming, Nonlinear programming, cybernetics, gradient methods

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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