0000000000505738

AUTHOR

T. Leon

showing 2 related works from this author

An optimality test for semi-infinite linear programming

1992

In this paper we present a test to characterize the optimal solutions for the continuous semi-infinite linear programming problem. This optimality characterization is a condition of Kuhn–Tucker type. The resolution of a linear program permits to check the optimality of a feasible point,to detect the unboundedness of the problem and to find descent directions. We give some illustrative examples. We show that the local Mangasarian–Fromovitz constraint qualification is almost equivalent to Slater qualification for this problem. Furthermore, it follows from our study that this optimality condition is always necessary for a wide class of semi-infinite linear programming problems

Constraint (information theory)Mathematical optimizationControl and OptimizationLinear programmingSemi-infiniteApplied MathematicsPoint (geometry)Management Science and Operations ResearchType (model theory)Semi-infinite programmingLinear-fractional programmingDescent (mathematics)MathematicsOptimization
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A functional approach to monitor and recognize patterns of daily traffic profiles

2014

Functional Data Analysis (FDA) is a collection of statistical techniques for the analysis of information on curves or functions. This paper presents a new methodology for analyzing the daily traffic flow profiles based on the employment of FDA. A daily traffic profile corresponds to a single datum rather than a large set of traffic counts. This insight provides ideal information for strategic decision-making regarding road expansion, control, and other long-term decisions. Using Functional Principal Component Analysis the data are projected into a low dimensional space: the space of the first functional principal components. Each curve is represented by their vector of scores on this basis.…

Functional principal component analysisEngineeringbusiness.industryFunctional data analysisPoison controlFunctional approachTransportationManagement Science and Operations ResearchTraffic flowcomputer.software_genreTransport engineeringPrincipal component analysisOutlierData miningbusinessCluster analysiscomputerCivil and Structural EngineeringTransportation Research Part B: Methodological
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