Mixed Integer Linear Models

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1、MixedIntegerLinearModelsPeiliangXuDisasterPreventionResearchInstitute,KyotoUniversity,Uji,Kyoto,JapanIntroduction.........................................................................MixedIntegerLinearModels........................................................ClassicalLinearan

2、dNonlinearModels...................................................MixedIntegerLinearandNonlinearModels............................................TheIntegerLeastSquaresProblem........................................................DifferencesBetweentheClassicalandMixedIntegerLi

3、nearModels...............NumericalSolutiontotheIntegerLSProblem.....................................UnimodularTransformation...............................................................DecorrelationbyGaussianElimination...................................................De

4、correlationbyIntegerGram-SchmidtOrthogonalization..........................DecorrelationbyInverseIntegerCholeskyDecomposition............................DoDecorrelationMethodsReallyWorkAlltheTime?...............................RepresentationoftheIntegerLSEstimatorandVoronoiCells.

5、...................RepresentationoftheIntegerLSEstimator..............................................VoronoiCells.................................................................................BoundingVoronoiCellVbyFiguresofSimpleShape...............................Proba

6、bilityandProbabilisticBoundsfortheIntegerLSEstimator...............TheProbabilityThattheIntegersAreCorrectlyEstimated............................Shannon’sUpperProbabilisticBound.....................................................UpperandLowerProbabilisticBounds.................

7、.................................HypothesisTestingonIntegerParameters.........................................Conclusions..........................................................................Reference