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Book
Strategic allocation of resources using linear programming model with parametric analysis
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ISBN: 3954892804 3954897806 9783954897803 9783954892808 Year: 2015 Publisher: Hamburg

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Since the late 1940s, linear programming models have been used for many different purposes. Airline companies apply these models to optimize their use of planes and staff. NASA has been using them for many years to optimize their use of limited resources. Oil companies use them to optimize their refinery operations. Small and medium-sized businesses use linear programming to solve a huge variety of problems, often involving resource allocation. In my study, a typical product-mix problem in a manufacturing system producing two products (each product consists of two sub-assemblies) is solved for its optimal solution through the use of the latest versions of MATLAB having the command simlp, which is very much like linprog. As analysts, we try to find a good enough solution for the decision maker to make a final decision. Our attempt is to give the mathematical description of the product-mix optimization problem and bring the problem into a form ready to call MATLAB's simlp command. The objective of this study is to find the best product mix that maximizes profit. The graph obtained using MATLAB commands, give the shaded area enclosed by the constraints called the feasible region, which is the set of points satisfying all the constraints. To find the optimal solution we look at the lines of equal profit to find the corner of the feasible region which yield the highest profit. This corner can be found out at the farthest line of equal profit, which still touches the feasible region. The most critical part is the sensitivity analysis, using Excel Solver, and Parametric Analysis, using computer software, which allows us to study the effect on optimal solution due to discrete and continuous change in parameters of the LP model including to identify bottlenecks. We have examined other options like product outsourcing, one-time cost, cross training of one operator, manufacturing of hypothetical third product on under-utilized machines and optimal sequencing of jobs on machines.


Book
Numerical Methods
Authors: ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Numerical methods are a specific form of mathematics that involve creating and use of algorithms to map out the mathematical core of a practical problem. Numerical methods naturally find application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business, and even arts. The common uses of numerical methods include approximation, simulation, and estimation, and there is almost no scientific field in which numerical methods do not find a use. Results communicated here include topics ranging from statistics (Detecting Extreme Values with Order Statistics in Samples from Continuous Distributions) and Statistical software packages (dCATCH—A Numerical Package for d-Variate near G-Optimal Tchakaloff Regression via Fast NNLS) to new approaches for numerical solutions (Exact Solutions to the Maxmin Problem max‖Ax‖ Subject to ‖Bx‖≤1; On q-Quasi-Newton’s Method for Unconstrained Multiobjective Optimization Problems; Convergence Analysis and Complex Geometry of an Efficient Derivative-Free Iterative Method; On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence; Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers’ Equations) to the use of wavelets (Orhonormal Wavelet Bases on The 3D Ball Via Volume Preserving Map from the Regular Octahedron) and methods for visualization (A Simple Method for Network Visualization).


Book
Current Perspective on the Study of Liquid-Fluid Interfaces: From Fundamentals to Innovative Applications
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Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Fluid interfaces are promising candidates for confining different types of materials - e.g., polymers, surfactants, colloids, and even small molecules - and for designing new functional materials with reduced dimensionality. The development of such materials requires a deepening of the Physico-chemical bases underlying the formation of layers at fluid interfaces, as well as on the characterization of their structures and properties. This is of particular importance because the constraints associated with the assembly of materials at the interface lead to the emergence of equilibrium and dynamics features in the interfacial systems, which are far from those conventionally found in the traditional materials. This Special Issue is devoted to studies on fundamental and applied aspects of fluid interfaces, trying to provide a comprehensive perspective on the current status of the research field.

Keywords

thermal radiations --- magnetic field --- Carreau fluid --- stretching/shrinking surface --- Hall effect --- nonlinear radiations --- HAM --- desulfurization wastewater evaporation technology --- evaporation performance --- orthogonal test --- simulation --- spray coating --- coating film formation --- leveling of coating surface --- fluorescence method --- visualization --- ferromagnetic --- nanofluid --- bioconvection --- porous medium --- heat suction/injection --- magnetic dipole --- liquid-infused surfaces --- durability --- lubricants --- wetting --- liquid-repellent coatings --- annealed Co40Fe40W20 thin films --- magnetic tunnel junctions (MTJs) --- X-ray diffraction (XRD) --- contact angle --- surface energy --- nanomechanical properties --- Prandtl nanofluid flow --- convectively heated surface --- stochastic intelligent technique --- Levenberg Marquardt method --- backpropagated network --- artificial neural network --- Adam numerical solver --- surface hydrophilicity --- graphene --- ice formation --- clearance --- molecular dynamic simulation --- dynamics --- fluid interfaces --- inhalation --- lung surfactant --- nanoparticles --- pollutants --- rheology --- emulsion --- droplet size --- microscopy-assisted --- image analysis --- laser diffraction --- turbidity --- viscosity --- Ree-Eyring nanofluid --- viscous dissipation --- Cattaneo-Christov model --- Koo-Kleinstreuer model --- chemical reaction --- heat transfer --- stretching cylinder --- nonlinear radiation --- Powell–Eyring --- Darcy–Forchheimer --- n/a --- Powell-Eyring --- Darcy-Forchheimer


Book
Computational Aerodynamic Modeling of Aerospace Vehicles
Authors: ---
Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Currently, the use of computational fluid dynamics (CFD) solutions is considered as the state-of-the-art in the modeling of unsteady nonlinear flow physics and offers an early and improved understanding of air vehicle aerodynamics and stability and control characteristics. This Special Issue covers recent computational efforts on simulation of aerospace vehicles including fighter aircraft, rotorcraft, propeller driven vehicles, unmanned vehicle, projectiles, and air drop configurations. The complex flow physics of these configurations pose significant challenges in CFD modeling. Some of these challenges include prediction of vortical flows and shock waves, rapid maneuvering aircraft with fast moving control surfaces, and interactions between propellers and wing, fluid and structure, boundary layer and shock waves. Additional topic of interest in this Special Issue is the use of CFD tools in aircraft design and flight mechanics. The problem with these applications is the computational cost involved, particularly if this is viewed as a brute-force calculation of vehicle’s aerodynamics through its flight envelope. To make progress in routinely using of CFD in aircraft design, methods based on sampling, model updating and system identification should be considered.

Keywords

numerical methods --- modeling --- aerodynamics --- Taylor–Green vortex --- slender-body --- neural networks --- shock-channel --- wind gust responses --- installed propeller --- bifurcation --- RANS --- wake --- multi-directional --- bluff body --- MDO --- variable fidelity --- computational fluid dynamics (CFD) --- high angles of attack --- aeroelasticity --- computational fluid dynamics --- wind tunnel --- Godunov method --- flow control --- unsteady aerodynamic characteristics --- overset grid approach --- convolution integral --- MUSCL --- DDES --- dynamic Smagorinsky subgrid-scale model --- CPACS --- flutter --- reduced-order model --- meshing --- vortex generators --- hybrid reduced-order model --- microfluidics --- Riemann solver --- characteristics-based scheme --- CFD --- wing–propeller aerodynamic interaction --- kinetic energy dissipation --- Euler --- formation --- square cylinder --- multi-fidelity --- turbulence model --- subsonic --- large eddy simulation --- after-body --- flow distortion --- VLM --- numerical dissipation --- hypersonic --- modified equation analysis --- fluid mechanics --- reduced order aerodynamic model --- p-factor --- URANS --- flexible wings --- chemistry --- detection --- microelectromechanical systems (MEMS) --- angle of attack --- sharp-edge gust --- truncation error --- aerodynamic performance --- quasi-analytical --- gasdynamics --- discontinuous Galerkin finite element method (DG–FEM) --- geometry --- S-duct diffuser


Book
Convergence of Intelligent Data Acquisition and Advanced Computing Systems
Authors: --- ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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This book is a collection of published articles from the Sensors Special Issue on "Convergence of Intelligent Data Acquisition and Advanced Computing Systems". It includes extended versions of the conference contributions from the 10th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS’2019), Metz, France, as well as external contributions.

The traveling salesman problem : a computational study
Authors: --- ---
ISBN: 1283256118 9786613256119 1400841100 9781400841103 0691129932 9780691129938 9781283256117 Year: 2006 Publisher: Princeton : Princeton University Press,

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This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.

Keywords

Traveling salesman problem. --- TSP (Traveling salesman problem) --- Combinatorial optimization --- Graph theory --- Vehicle routing problem --- AT&T Labs. --- Accuracy and precision. --- Addition. --- Algorithm. --- Analysis of algorithms. --- Applied mathematics. --- Approximation algorithm. --- Approximation. --- Basic solution (linear programming). --- Best, worst and average case. --- Bifurcation theory. --- Big O notation. --- CPLEX. --- CPU time. --- Calculation. --- Chaos theory. --- Column generation. --- Combinatorial optimization. --- Computation. --- Computational resource. --- Computer. --- Connected component (graph theory). --- Connectivity (graph theory). --- Convex hull. --- Cutting-plane method. --- Delaunay triangulation. --- Determinism. --- Disjoint sets. --- Dynamic programming. --- Ear decomposition. --- Engineering. --- Enumeration. --- Equation. --- Estimation. --- Euclidean distance. --- Euclidean space. --- Family of sets. --- For loop. --- Genetic algorithm. --- George Dantzig. --- Georgia Institute of Technology. --- Greedy algorithm. --- Hamiltonian path. --- Hospitality. --- Hypergraph. --- Implementation. --- Instance (computer science). --- Institute. --- Integer. --- Iteration. --- Linear inequality. --- Linear programming. --- Mathematical optimization. --- Mathematics. --- Model of computation. --- Neuroscience. --- Notation. --- Operations research. --- Optimization problem. --- Order by. --- Pairwise. --- Parameter (computer programming). --- Parity (mathematics). --- Percentage. --- Polyhedron. --- Polytope. --- Pricing. --- Princeton University. --- Processing (programming language). --- Project. --- Quantity. --- Reduced cost. --- Requirement. --- Result. --- Rice University. --- Rutgers University. --- Scientific notation. --- Search algorithm. --- Search tree. --- Self-similarity. --- Simplex algorithm. --- Solution set. --- Solver. --- Source code. --- Special case. --- Stochastic. --- Subroutine. --- Subsequence. --- Subset. --- Summation. --- Test set. --- Theorem. --- Theory. --- Time complexity. --- Trade-off. --- Travelling salesman problem. --- Tree (data structure). --- Upper and lower bounds. --- Variable (computer science). --- Variable (mathematics).


Book
Thermal and Electro-thermal System Simulation 2020
Authors: --- ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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This book, edited by Prof. Marta Rencz and Prof Andras Poppe, Budapest University of Technology and Economics, and by Prof. Lorenzo Codecasa, Politecnico di Milano, collects fourteen papers carefully selected for the “thermal and electro-thermal system simulation” Special Issue of Energies. These contributions present the latest results in a currently very “hot” topic in electronics: the thermal and electro-thermal simulation of electronic components and systems. Several papers here proposed have turned out to be extended versions of papers presented at THERMINIC 2019, which was one of the 2019 stages of choice for presenting outstanding contributions on thermal and electro-thermal simulation of electronic systems. The papers proposed to the thermal community in this book deal with modeling and simulation of state-of-the-art applications which are highly critical from the thermal point of view, and around which there is great research activity in both industry and academia. In particular, contributions are proposed on the multi-physics simulation of families of electronic packages, multi-physics advanced modeling in power electronics, multiphysics modeling and simulation of LEDs, batteries and other micro and nano-structures.

Keywords

lithium-ion battery --- thermal modelling --- electro-thermal model --- heat generation --- experimental validation --- thermal transient testing --- non-destructive testing --- thermal testability --- accuracy repeatability and reproducibility of thermal measurements --- thermal testing standards --- 3D IC --- microchannels --- liquid cooling --- compact thermal model --- thermal simulation --- hotspot --- thermal-aware task scheduling --- DVFS --- statistical analysis --- electronic packages --- detailed thermal model --- Joint Electron Device Engineering Council (JEDEC) metrics --- thermal impedance --- AlGaN-GaN HEMT --- TDTR --- thermal conductivity --- thermal interface resistance --- size effect --- phonon transport mechanisms --- nonlinear thermal model --- SPICE --- pulse transformer --- thermal phenomena --- self-heating --- modelling --- measurements --- BCI-DCTM --- ROM --- modal approach --- BGA --- module temperature --- solar energy --- heat transfer mechanisms --- power LED measurement and simulation --- life testing --- reliability testing --- LM-80 --- TM-21 --- LED lifetime modelling --- LED multi-domain modelling --- Spice-like modelling of LEDs --- lifetime extrapolation and modelling of LEDs --- beyond CMOS --- VO2 --- thermal-electronic circuits --- electro-thermal simulation --- vertical structure --- power LEDs --- thermal pads --- thermal resistance --- optical efficiency --- electronics cooling --- Light-emitting diodes --- CoB LEDs --- multi-domain modeling --- finite volume method --- phosphor modeling --- magnetic nanoparticle --- microfluidics --- CFD --- OpenFOAM --- two-phase solver --- rheology --- LED --- Delphi4LED --- digital twin --- digital luminaire design --- computation time --- Industry 4.0

Self-regularity
Authors: --- ---
ISBN: 1282087606 9786612087608 140082513X 9781400825134 1400814529 9781400814527 9780691091938 0691091935 9780691091921 0691091927 0691091927 9781282087606 Year: 2002 Publisher: Princeton, N.J. Oxford Princeton University Press

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Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. The authors deal with linear optimization, nonlinear complementarity problems, semidefinite optimization, and second-order conic optimization problems. The framework also covers large classes of linear complementarity problems and convex optimization. The algorithm considered can be interpreted as a path-following method or a potential reduction method. Starting from a primal-dual strictly feasible point, the algorithm chooses a search direction defined by some Newton-type system derived from the self-regular proximity. The iterate is then updated, with the iterates staying in a certain neighborhood of the central path until an approximate solution to the problem is found. By extensively exploring some intriguing properties of self-regular functions, the authors establish that the complexity of large-update IPMs can come arbitrarily close to the best known iteration bounds of IPMs. Researchers and postgraduate students in all areas of linear and nonlinear optimization will find this book an important and invaluable aid to their work.

Keywords

Interior-point methods. --- Mathematical optimization. --- Programming (Mathematics). --- Mathematical optimization --- Interior-point methods --- Programming (Mathematics) --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Mathematical programming --- Goal programming --- Algorithms --- Functional equations --- Operations research --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Simulation methods --- System analysis --- 519.85 --- 681.3*G16 --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.85 Mathematical programming --- Accuracy and precision. --- Algorithm. --- Analysis of algorithms. --- Analytic function. --- Associative property. --- Barrier function. --- Binary number. --- Block matrix. --- Combination. --- Combinatorial optimization. --- Combinatorics. --- Complexity. --- Conic optimization. --- Continuous optimization. --- Control theory. --- Convex optimization. --- Delft University of Technology. --- Derivative. --- Differentiable function. --- Directional derivative. --- Division by zero. --- Dual space. --- Duality (mathematics). --- Duality gap. --- Eigenvalues and eigenvectors. --- Embedding. --- Equation. --- Estimation. --- Existential quantification. --- Explanation. --- Feasible region. --- Filter design. --- Function (mathematics). --- Implementation. --- Instance (computer science). --- Invertible matrix. --- Iteration. --- Jacobian matrix and determinant. --- Jordan algebra. --- Karmarkar's algorithm. --- Karush–Kuhn–Tucker conditions. --- Line search. --- Linear complementarity problem. --- Linear function. --- Linear programming. --- Lipschitz continuity. --- Local convergence. --- Loss function. --- Mathematician. --- Mathematics. --- Matrix function. --- McMaster University. --- Monograph. --- Multiplication operator. --- Newton's method. --- Nonlinear programming. --- Nonlinear system. --- Notation. --- Operations research. --- Optimal control. --- Optimization problem. --- Parameter (computer programming). --- Parameter. --- Pattern recognition. --- Polyhedron. --- Polynomial. --- Positive semidefinite. --- Positive-definite matrix. --- Quadratic function. --- Requirement. --- Result. --- Scientific notation. --- Second derivative. --- Self-concordant function. --- Sensitivity analysis. --- Sign (mathematics). --- Signal processing. --- Simplex algorithm. --- Simultaneous equations. --- Singular value. --- Smoothness. --- Solution set. --- Solver. --- Special case. --- Subset. --- Suggestion. --- Technical report. --- Theorem. --- Theory. --- Time complexity. --- Two-dimensional space. --- Upper and lower bounds. --- Variable (computer science). --- Variable (mathematics). --- Variational inequality. --- Variational principle. --- Without loss of generality. --- Worst-case complexity. --- Yurii Nesterov. --- Mathematical Optimization --- Mathematics --- Programming (mathematics)


Book
Intelligent Transportation Related Complex Systems and Sensors
Authors: --- --- --- ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Building around innovative services related to different modes of transport and traffic management, intelligent transport systems (ITS) are being widely adopted worldwide to improve the efficiency and safety of the transportation system. They enable users to be better informed and make safer, more coordinated, and smarter decisions on the use of transport networks. Current ITSs are complex systems, made up of several components/sub-systems characterized by time-dependent interactions among themselves. Some examples of these transportation-related complex systems include: road traffic sensors, autonomous/automated cars, smart cities, smart sensors, virtual sensors, traffic control systems, smart roads, logistics systems, smart mobility systems, and many others that are emerging from niche areas. The efficient operation of these complex systems requires: i) efficient solutions to the issues of sensors/actuators used to capture and control the physical parameters of these systems, as well as the quality of data collected from these systems; ii) tackling complexities using simulations and analytical modelling techniques; and iii) applying optimization techniques to improve the performance of these systems. It includes twenty-four papers, which cover scientific concepts, frameworks, architectures and various other ideas on analytics, trends and applications of transportation-related data.

Keywords

image dehazing --- traffic video dehazing --- dark channel prior --- spatial-temporal correlation --- contrast enhancement --- traffic signal control --- game theory --- decentralized control --- large-scale network control --- railway intrusion detection --- scene segmentation --- scene recognition --- adaptive feature extractor --- convolutional neural networks --- in-cylinder pressure identification --- speed iteration model --- EKF --- frequency modulation --- amplitude modulation --- sensor synchronization --- microscopic traffic data --- trajectory reconstruction --- expectation maximization --- vehicle matching --- artificial neural networks --- metro --- transportation --- user flow forecast --- matrix inversion --- time-varying matrix --- noise problem in time-varying matrix inversion --- recurrent neural network (RNN) --- RNN-based solver --- real-time fast computing --- real-time estimation --- probe vehicle --- traffic density --- neural network --- level of market penetration rate --- deep neural network --- neural artistic extraction --- objectification --- ride comfort --- subjective evaluation --- road surface recognition --- Gaussian background model --- abnormal road surface --- acceleration sensor --- traffic state prediction --- spatio-temporal traffic modeling --- simulation --- machine learning --- hyper parameter optimization --- ITS --- crash risk modeling --- hazardous materials --- highway safety --- operations research --- prescriptive analytics --- shortest path problem --- trucking --- vehicle routing problem --- data visualization --- descriptive analytics --- predictive analytics --- urban rail transit interior noise --- smartphone sensing --- XGBoost classifier --- railway maintenance --- vehicle trajectory prediction --- license plate data --- trip chain --- turning state transit --- route choice behavior --- real world experiment --- Intelligent Transportation Systems (ITS) --- advanced traveler information systems (ATIS) --- connected vehicles --- particle filter --- Kalman filter --- road safety --- travel time information system --- safety performance function --- bicycle sharing systems --- public transport systems --- data-driven classification of trips --- BSS underlying network --- trip index --- automatic rail-surface-scratch recognition and computation --- triangulation algorithm --- complete closed mesh model --- online rail-repair --- autonomous vehicle --- obstacle avoidance --- artificial potential field --- model predictive control --- human-like --- variable speed limits --- intelligent transportation systems --- ITS services --- driving simulator studies --- traffic modelling --- surrogate safety measures --- driving safety --- driving emotions --- driving stress --- lifestyle --- sensors --- heart rate --- plate scanning --- low-cost sensor --- sensor location problem --- traffic flow estimation --- n/a

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