Search results for " Order"

showing 10 items of 827 documents

General Economic Order Quantity Model for Lot Sizing with Quality Loss and Process Analysis

1995

In this paper a new model GEOQ is proposed to decide the optimal lot sizing in production. The GEOQ modifies the classical EOQ method in several aspects. First it considers that there is always a probability that the production goes out-of-control; then it takes the time the process goes out-of-control as a stochastic quantity; and finally it adds quality loss to the economic models. The quality loss is calculated according to Taguchi’s quadratic loss function. and depends on the process failure models. Therefore, the optimal lot sizing is decided not only by the set-up cost and the holding cost but also by the quality loss during the manufacturing process.

Mathematical optimizationTaguchi methodsmedia_common.quotation_subjectHolding costEconomicsProduction (economics)Operations managementQuality (business)Economic modelEconomic order quantityFunction (engineering)Sizingmedia_common
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Representation of capacity drop at a road merge via point constraints in a first order traffic model

2018

We reproduce the capacity drop phenomenon at a road merge by implementing a non-local point constraint at the junction in a first order traffic model. We call capacity drop the situation in which the outflow through the junction is lower than the receiving capacity of the outgoing road, as too many vehicles trying to access the junction from the incoming roads hinder each other. In this paper, we first construct an enhanced version of the locally constrained model introduced by Haut et al. (Proceedings 16th IFAC World Congress. Prague, Czech Republic 229 (2005) TuM01TP/3), then we propose its counterpart featuring a non-local constraint and finally we compare numerically the two models by c…

Mathematical optimizationTraffic model010103 numerical & computational mathematics01 natural sciencesScalar conservation law; LWR model; traffic flow on networks; point constraint on the flux; finite volumes schemesNOfinite volumes schemes[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]point constraint on the flux0101 mathematics[MATH]Mathematics [math]Scalar conservation lawMathematicsLWR modelNumerical AnalysisApplied MathematicsFirst order010101 applied mathematicsFinite volumes schemes; LWR model; Point constraint on the flux; Scalar conservation law; Traffic flow on networksComputational MathematicsModeling and Simulationtraffic flow on networksOutflowfinite volumes schemeMerge (version control)Analysis
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Statistical methods for determining components non-liniarities, from thermoluminescent devices

2016

Thermoluminescent (TLD) dosimeters enjoy wide usage due to low cost and simplicity of use. They have however large errors at high doses in mixed-radiation fields, where non-linear effects occur. Algorithms based on the Akaike criterion [1] are presented for determining the maximal (physically meaningful) polynomial order with which the non-linearities are modeled. This depends on the number of points existing on a curve and on the points' errors.

Mathematical optimizationmedia_common.quotation_subjectPhysics::Medical PhysicsPolynomial order02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesThermoluminescence0103 physical sciencesAkaike criterionHigh dosesThermoluminescent dosimeterSimplicity010306 general physics0210 nano-technologyAlgorithmmedia_commonMathematics2016 IEEE 22nd International Symposium for Design and Technology in Electronic Packaging (SIITME)
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Branch-and-Bound

2010

We now turn to the discussion of how to solve the linear ordering problem to (proven) optimality. In this chapter we start with the branch-and-bound method which is a general procedure for solving combinatorial optimization problems. In the subsequent chapters this approach will be realized in a special way leading to the so-called branch-and-cut method. There are further possibilities for solving the LOP exactly, e.g. by formulating it as dynamic program or as quadratic assignment problem, but these approaches did not lead to the implementation of practical algorithms and we will not elaborate on them here.

Mathematical optimizationsymbols.namesakeBranch and boundBundle methodQuadratic assignment problemComputer scienceLagrangian relaxationCombinatorial optimization problemsymbolsLinear ordering
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Determining an unbounded potential for an elliptic equation with a power type nonlinearity

2022

In this article we focus on inverse problems for a semilinear elliptic equation. We show that a potential $q$ in $L^{n/2+\varepsilon}$, $\varepsilon>0$, can be determined from the full and partial Dirichlet-to-Neumann map. This extends the results from [M. Lassas, T. Liimatainen, Y.-H. Lin, and M. Salo, Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations, Rev. Mat. Iberoam. (2021)] where this is shown for H\"older continuous potentials. Also we show that when the Dirichlet-to-Neumann map is restricted to one point on the boundary, it is possible to determine a potential $q$ in $L^{n+\varepsilon}$. The authors of arXiv:2202.0…

Mathematics - Analysis of PDEsApplied Mathematics35R30 35J25 35J61FOS: Mathematicsinverse problemyhtälötpartial datasemilinear elliptic equationhigher order linearizationinversio-ongelmatAnalysisAnalysis of PDEs (math.AP)
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Integral binary Hamiltonian forms and their waterworlds

2018

We give a graphical theory of integral indefinite binary Hamiltonian forms $f$ analogous to the one by Conway for binary quadratic forms and the one of Bestvina-Savin for binary Hermitian forms. Given a maximal order $\mathcal O$ in a definite quaternion algebra over $\mathbb Q$, we define the waterworld of $f$, analogous to Conway's river and Bestvina-Savin's ocean, and use it to give a combinatorial description of the values of $f$ on $\mathcal O\times\mathcal O$. We use an appropriate normalisation of Busemann distances to the cusps (with an algebraic description given in an independent appendix), and the $\operatorname{SL}_2(\mathcal O)$-equivariant Ford-Voronoi cellulation of the real …

Mathematics - Differential GeometryPure mathematicsBinary number01 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]waterworlddifferentiaaligeometriamaximal orderhyperbolic 5-space0103 physical sciences0101 mathematicsAlgebraic numberreduction theoryMathematicslukuteoriaMathematics - Number TheoryQuaternion algebra010102 general mathematicsHamilton-Bianchi groupryhmäteoriaOrder (ring theory)Mathematics::Geometric TopologyHermitian matrix[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT][MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]Binary quadratic form010307 mathematical physicsGeometry and Topologyrational quaternion algebraMathematics - Group Theorybinary Hamiltonian formHamiltonian (control theory)Conformal Geometry and Dynamics of the American Mathematical Society
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Some Algebraic Properties of Machine Poset of Infinite Words

2008

The complexity of infinite words is considered from the point of view of a transformation with a Mealy machine that is the simplest model of a finite automaton transducer. We are mostly interested in algebraic properties of the underlying partially ordered set. Results considered with the existence of supremum, infimum, antichains, chains and density aspects are investigated.

Mealy machineDiscrete mathematicsFinite-state machineGeneral MathematicsEssential supremum and essential infimumInfimum and supremumComputer Science ApplicationsTransformation (function)Chain (algebraic topology)Point (geometry)Partially ordered setComputer Science::Formal Languages and Automata TheorySoftwareMathematicsRAIRO - Theoretical Informatics and Applications
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Large atomic disorder in nanostructured LaNi5 alloys: A la L3-edge extended X-ray absorption fine structure study

2010

Abstract Local structure of the nanostructured LaNi 5 alloys, prepared by ball-milling, has been studied using La L 3 -edge extended X-ray absorption fine structure spectroscopy. The near-neighbor distances tend to decrease with the ball-milling, and the mean square relative displacements (MSRD) show substantial increase suggesting an increased atomic disorder. High temperature annealing helps in partial recovery of atomic order in the ball-milled samples for milling times upto 20 h, however, the long-time ball-milled samples seems to gain only a local random order. The results suggest that reduced unit-cell volume together with large atomic-disorder might be causing a higher energy-barrier…

Mean squareMaterials scienceAtomic orderAnnealing (metallurgy)Analytical chemistry02 engineering and technology01 natural sciencesLocal structureRandom order0103 physical sciencesGeneral Materials ScienceNanostructuringSpectroscopy010302 applied physicsExtended X-ray absorption fine structured. crystal structureCrystal structurec. exafsGeneral Chemistry021001 nanoscience & nanotechnologyCondensed Matter Physicsd. crystal structure; a. nanostructuring; c. exafs; a. lani5 alloysEXAFSLaNi5 alloya. lani5 alloys0210 nano-technologya. nanostructuring
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Riesz fractional integrals and complex fractional moments for the probabilistic characterization of random variables

2012

Abstract The aim of this paper is the probabilistic representation of the probability density function (PDF) or the characteristic function (CF) in terms of fractional moments of complex order. It is shown that such complex moments are related to Riesz and complementary Riesz integrals at the origin. By invoking the inverse Mellin transform theorem, the PDF or the CF is exactly evaluated in integral form in terms of complex fractional moments. Discretization leads to the conclusion that with few fractional moments the whole PDF or CF may be restored. Application to the pathological case of an α -stable random variable is discussed in detail, showing the impressive capability to characterize…

Mellin transformFractional spectral momentDiscretizationCharacteristic function (probability theory)Mechanical EngineeringCharacteristic functionMathematical analysisAerospace EngineeringComplex order momentOcean EngineeringStatistical and Nonlinear PhysicsProbability density functionFractional calculuCondensed Matter PhysicsFractional calculusNuclear Energy and EngineeringProbability density functionApplied mathematicsFractional momentRandom variableCumulantMellin transformCivil and Structural EngineeringMathematicsTaylor expansions for the moments of functions of random variablesProbabilistic Engineering Mechanics
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The half-metallic ferromagnet

2007

Abstract Electronic structure calculation were used to predict a new material for spintronic applications. Co 2 Mn 0.5 Fe 0.5 Si is one example which is stable against on-site correlation and disorder effects due to the position of the Fermi energy in the middle of the minority band gap. Experimentally the sample were made exhibiting L 2 1 structure and a high magnetic order.

MetalMaterials scienceFerromagnetismCondensed matter physicsSpintronicsBand gapMagnetic ordervisual_artvisual_art.visual_art_mediumFermi energyElectronic structureCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsJournal of Magnetism and Magnetic Materials
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