Strategic Allocation Of Resources Using Linear Programming Model With Parametric Analysis In Matlab And Excel Solver
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Strategic Allocation Of Resources Using Linear Programming Model With Parametric Analysis In Matlab And Excel Solver
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Author : Dinesh Gupta
language : en
Publisher: diplom.de
Release Date : 2014-05-01
Strategic Allocation Of Resources Using Linear Programming Model With Parametric Analysis In Matlab And Excel Solver written by Dinesh Gupta and has been published by diplom.de this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-01 with Computers categories.
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 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 ist 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.
Strategic Allocation Of Resources Using Linear Programming Model With Parametric Analysis
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Author : Dinesh Gupta
language : en
Publisher:
Release Date : 2014-04
Strategic Allocation Of Resources Using Linear Programming Model With Parametric Analysis written by Dinesh Gupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04 with categories.
Master's Thesis from the year 2013 in the subject Engineering - Industrial Engineering and Management, grade: Good, LMU Munich (Dr. B R Ambedkar National Institute of Technology, Jalandhar), course: Industrial Engg., language: English, abstract: 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 paper 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
Linear Programming And Resource Allocation Modeling
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Author : Michael J. Panik
language : en
Publisher: John Wiley & Sons
Release Date : 2018-11-06
Linear Programming And Resource Allocation Modeling written by Michael J. Panik and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-06 with Business & Economics categories.
Guides in the application of linear programming to firm decision making, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linear programming theory—especially where data envelopment analysis (DEA) is concerned—and provides the foundation for the development of DEA. Linear Programming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations. It then goes on to cover: the canonical and standard forms of a linear programming problem; the computational aspects of linear programming; variations of the standard simplex theme; duality theory; single- and multiple- process production functions; sensitivity analysis of the optimal solution; structural changes; and parametric programming. The primal and dual problems are then reformulated and re-examined in the context of Lagrangian saddle points, and a host of duality and complementary slackness theorems are offered. The book also covers primal and dual quadratic programs, the complementary pivot method, primal and dual linear fractional functional programs, and (matrix) game theory solutions via linear programming, and data envelopment analysis (DEA). This book: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decision making, and health care Fills the need for a linear programming applications component in a management science or economics course Provides a complete treatment of linear programming as applied to activity selection and usage Contains many detailed example problems as well as textual and graphical explanations Linear Programming and Resource Allocation Modeling is an excellent resource for professionals looking to solve linear optimization problems, and advanced undergraduate to beginning graduate level management science or economics students.
Operations Research Using Excel
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Author : Vikas Singla
language : en
Publisher: CRC Press
Release Date : 2021-09-16
Operations Research Using Excel written by Vikas Singla and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-16 with Technology & Engineering categories.
The field of operations research provides a scientific approach to managerial decision making. In a contemporary, hypercompetitive ever-changing business world, a manager needs quantitative and factual ways of solving problems related to optimal allocation of resources, profit/loss, maximization/minimization etc. In this endeavor, the subject of doing research on how to manage and make operations efficient is termed as Operations Research. The reference text provides conceptual and analytical knowledge for various operations research techniques. Readers, especially students of this subject, are skeptic in dealing with the subject because of its emphasis on mathematics. However, this book has tried to remove such doubts by focusing on the application part of OR techniques with minimal usage of mathematics. The attempt was to make students comfortable with some complicated topics of the subject. It covers important concepts including sensitivity analysis, duality theory, transportation solution method, Hungarian algorithm, program evaluation and review technique and periodic review system. Aimed at senior undergraduate and graduate students in the fields of mechanical engineering, civil engineering, industrial engineering and production engineering, this book: • Discusses extensive use of Microsoft Excel spreadsheets and formulas in solving operations research problems • Provides case studies and unsolved exercises at the end of each chapter • Covers industrial applications of various operations research techniques in a comprehensive manner • Discusses creating spreadsheets and using different Excel formulas in an easy-to-understand manner • Covers problem-solving procedures for techniques including linear programming, transportation model and game theory
Optimization Methods For Resource Allocation
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Author : Richard Cottle
language : en
Publisher:
Release Date : 1974
Optimization Methods For Resource Allocation written by Richard Cottle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Linear And Integer Programming With Excel Examples
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Author : Fernando A. Boeira
language : en
Publisher:
Release Date : 2015-03-25
Linear And Integer Programming With Excel Examples written by Fernando A. Boeira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-25 with categories.
Maximizing subject to constraints, that is, making use of scarce resources, is the central theme of economics. But students of economics are often taught the mathematics of optimization as a branch of mathematics, and its economics application follow separately.This book is aimed for undergraduate students in economics, engineering, operations research, or other disciplines dealing with a branch of optimization theory: linear and integer programming. It supports a variety of teaching and learning and integrates the use of spreadsheets with instructions for Microsoft Excel.
Operations Research
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Author : P. Ramamurthy
language : en
Publisher: New Age International
Release Date : 2007
Operations Research written by P. Ramamurthy and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Optimization Methods In Finance
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Author : Gerard Cornuejols
language : en
Publisher: Cambridge University Press
Release Date : 2006-12-21
Optimization Methods In Finance written by Gerard Cornuejols and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-21 with Mathematics categories.
Optimization models play an increasingly important role in financial decisions. This is the first textbook devoted to explaining how recent advances in optimization models, methods and software can be applied to solve problems in computational finance more efficiently and accurately. Chapters discussing the theory and efficient solution methods for all major classes of optimization problems alternate with chapters illustrating their use in modeling problems of mathematical finance. The reader is guided through topics such as volatility estimation, portfolio optimization problems and constructing an index fund, using techniques such as nonlinear optimization models, quadratic programming formulations and integer programming models respectively. The book is based on Master's courses in financial engineering and comes with worked examples, exercises and case studies. It will be welcomed by applied mathematicians, operational researchers and others who work in mathematical and computational finance and who are seeking a text for self-learning or for use with courses.
Optimization With Matlab Quadratic Programming Least Squares Systems Of Equations Problem Based And Big Data For Optimization
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Author : J Lopez
language : en
Publisher: Independently Published
Release Date : 2019-07-12
Optimization With Matlab Quadratic Programming Least Squares Systems Of Equations Problem Based And Big Data For Optimization written by J Lopez and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-12 with categories.
Optimization Toolbox provides functions for finding parameters that minimize or maximize objectives while satisfying constraints. The toolbox includes solvers for linear programming (LP), mixed-integer linear programming (MILP), quadratic programming (QP), nonlinear programming (NLP), constrained linear least squares, nonlinear least squares, and nonlinear equations. You can define your optimization problem with functions and matrices or by specifying variable expressions that reflect the underlying mathematics. You can use the toolbox solvers to fin optimal solutions to continuous and discrete problems, perform trade of analyses, and incorporate optimization methods into algorithms and applications. The toolbox lets you perform design optimization tasks, including parameter estimation, component selection, and parameter tuning. It can be used to fin optimal solutions in applications such as portfolio optimization, resource allocation, and production planning and scheduling.You can use the toolbox solvers to find optimal solutions to continuous and discrete problems, perform tradeoff analyses, and incorporate optimization methods into algorithms and applications. The toolbox lets you perform design optimization tasks, including parameter estimation, component selection, and parameter tuning. It can be used to find optimal solutions in applications such as portfolio optimization, resource allocation, and production planning and scheduling.Quadratic programming is the problem of finding a vector x that minimizes a quadratic function, possibly subject to linear constraints.Least squares, in general, is the problem of finding a vector x that is a local minimizer to a function that is a sum of squares, possibly subject to some constraints. There are several Optimization Toolbox solvers available for various types of F(x) and various types of constraints.Given a set of n nonlinear functions Fi(x), where n is the number of components of the vector x, the goal of equation solving is to find a vector x that makes all Fi(x) = 0. fsolve attempts to solve systems of equations by minimizing the sum of squares of the components. If the sum of squares is zero, the system of equation is solved.Matlab also support Big Data for Optimization across parallel computing. Parallel computing is the technique of using multiple processors on a single problem. The reason to use parallel computing is to speed computations for Big Data. The following Optimization Toolbox solvers can automatically distribute the numerical estimation of gradients of objective functions and nonlinear constraint functions to multiple processors: fmincon, fminunc, fgoalattain, fminimax, fsolve, lsqcurvefit and lsqnonlin.
Multiobjective Linear Programming
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Author : Dinh The Luc
language : en
Publisher: Springer
Release Date : 2015-07-31
Multiobjective Linear Programming written by Dinh The Luc and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-31 with Business & Economics categories.
This book introduces the reader to the field of multiobjective optimization through problems with simple structures, namely those in which the objective function and constraints are linear. Fundamental notions as well as state-of-the-art advances are presented in a comprehensive way and illustrated with the help of numerous examples. Three of the most popular methods for solving multiobjective linear problems are explained, and exercises are provided at the end of each chapter, helping students to grasp and apply key concepts and methods to more complex problems. The book was motivated by the fact that the majority of the practical problems we encounter in management science, engineering or operations research involve conflicting criteria and therefore it is more convenient to formulate them as multicriteria optimization models, the solution concepts and methods of which cannot be treated using traditional mathematical programming approaches.