Search results for "Extended formulation"

showing 2 items of 2 documents

Analytical approach extending the Granier method to radial sap flow patterns

2020

Abstract The Granier thermal dissipation (TD) method is probably the most applied method to compute the transpiration flux of trees, due to its simplicity and effective compromise between theory and data availability. Starting from the heat transfer equations at the basis of Granier’s method, the objective of this paper is to derive an analytical solution for the transpiration flux to extend the sap flow equations to the radial domain. We adopted a flexible approach to cope with the differences in radial sapflow density (SFD) profile shapes that are known to occur in relation to wood anatomy (diffuse porous vs. ring- or non-porous xylem). With this purpose, we investigated the robustness of…

0208 environmental biotechnologySoil ScienceMonotonic function04 agricultural and veterinary sciences02 engineering and technologyMechanicsFlow patternAnalytical solutions020801 environmental engineeringSettore AGR/03 - Arboricoltura Generale E Coltivazioni ArboreeTree structureRadial sap flow patternExtended formulation040103 agronomy & agriculture0401 agriculture forestry and fisheriesGranier methodSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliHeat equationCambiumAgronomy and Crop ScienceTree speciesEarth-Surface ProcessesWater Science and TechnologyTranspirationMathematics
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Formulations and valid inequalities for the capacitated dispersion problem

2023

This work focuses on the capacitated dispersion problem for which we study several mathematical formulations in different spaces using variables associated with nodes, edges, and costs. The relationships among the presented formulations are investigated by comparing the projections of the feasible sets of the LP relaxations onto the subspace of natural variables. These formulations are then strengthened with families of valid inequalities and variable-fixing procedures. The separation problems associated with the valid inequalities that are exponential in number are shown to be polynomially solvable by reducing them to longest path problems in acyclic graphs. The dual bounds obtained from s…

TechnologyseparationScience & Technologydispersion problemComputer Networks and CommunicationsOperations Research & Management Scienceextended formulationtelescopic sumsUNESCO::CIENCIAS TECNOLÓGICASvalid inequalitieslocation scienceHardware and ArchitectureComputer ScienceComputer Science Hardware & Architecturepolyhedral combinatoricsSoftwareInformation Systems
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