Download or read book Linear Programming and Resource Allocation Modeling written by Michael J. Panik and published by John Wiley & Sons. This book was released on 2018-11-06 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Strategic allocation of resources using linear programming model with parametric analysis in MATLAB and Excel Solver written by Dinesh Gupta and published by diplom.de. This book was released on 2014-05-01 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Allocation of Resources by Linear Programming written by Robert Gary Bland and published by . This book was released on 1981 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystal-like structures in many geometrical dimensions can help to solve problems in planning and management. A new algorithm has set upper limits on the complexity of such problems.
Download or read book Resource Allocation Behavior written by Harvey J. Langholtz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the increasing necessity for information on allocating dwindling resources, resource-allocation behavior is not nearly so well understood as choice behavior (selection from two or more already defined alternatives, events, or lotteries.) Although there have been scores of books devoted to the optimal model for making resource-allocation decisions there has never been a book discussing the cognitive aspects of this behavior. This book answers the question of how people make such decisions while explaining how Linear Programming can be applied within the context of resource-allocation. It also takes the reader step-by-step into several types of problems under varying conditions, including harsh and benign environments, maximization and minimization, multi-dimensional, and cyclical problems.
Download or read book Strategic Allocation of Resources Using Linear Programming Model with Parametric Analysis written by Dinesh Gupta and published by GRIN Verlag. This book was released on 2014-03-31 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.
Download or read book Resource Allocation Using Linear Programming written by Tanya Merritt and published by . This book was released on 1994 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Programming Resource Allocation and Non market Benefits written by Glenn H. Manning and published by . This book was released on 1971 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Linear Programming written by Bernard Wolnak and Associates and published by . This book was released on 1984 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods of the Allocation of Limited Resources written by K. M. Mjelde and published by John Wiley & Sons. This book was released on 1983 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Strategic Allocation of Resources Using Linear Programming Model with Parametric Analysis in MATLAB and Excel Solver written by Dinesh Gupta and published by Anchor Academic Publishing (aap_verlag). This book was released on 2014-05-27 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Linear Programming written by Paul W. Marshall and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Programming and the Resource Allocation Problems of Development Banks written by Richard Norbert Pigossi and published by . This book was released on 1965 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Resource Allocation Problems written by Toshihide Ibaraki and published by MIT Press (MA). This book was released on 1988 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a theoretical problem encountered in a variety of areas in operations research and management science, including load distribution, production planning, computer scheduling, portfolio selection, and apportionment. It is a timely and comprehensive summary of the past thirty years of research on algorithmic aspects of the resource allocation problem and its variants, covering Lagrangean multiplier method, dynamic programming, greedy algorithms, and their generalizations. Modern data structures are used to analyze the computational complexity of each algorithm. The resource allocation problem the authors take up is an optimization problem with a single simple constraint: it determines the allocation of a fixed amount of resources to a given number of activities in order to achieve the most effective results. It may be viewed as a special case of the nonlinear programming or nonlinear integer programming problem. Contents: Introduction. Resource Allocation with Continuous Variables. Resource Allocation with Integer Variables. Minimizing a Convex Separable Function. Minimax and Maximin Resource Allocation Problems. Fair Resource Allocation Problem. Apportionment Problem. Fundamentals of Submodular Systems. Resource Allocation Problems under Submodular Constraints. Further Topics on Resource Allocation Problems. Appendixes: Algorithms and Complexity. NP-completeness and NP-hardness. Toshihide lbaraki is Professor in the Department of Applied Mathematics and Physics at Kyoto University and Naoki Katoh is Associate Professor in the Department of Management Science at Kobe University of Commerce. Resource Allocation Problemsis included in the Foundations of Computing Series edited by Michael Garey and Albert Meyer.
Download or read book Linear Fractional Programming Theory Methods Applications and Software written by E.B. Bajalinov and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on Linear-Fractional Programming (here and in what follows we will refer to it as "LFP"). The field of LFP, largely developed by Hungarian mathematician B. Martos and his associates in the 1960's, is concerned with problems of op timization. LFP problems deal with determining the best possible allo cation of available resources to meet certain specifications. In particular, they may deal with situations where a number of resources, such as people, materials, machines, and land, are available and are to be combined to yield several products. In linear-fractional programming, the goal is to determine a per missible allocation of resources that will maximize or minimize some specific showing, such as profit gained per unit of cost, or cost of unit of product produced, etc. Strictly speaking, linear-fractional programming is a special case of the broader field of Mathematical Programming. LFP deals with that class of mathematical programming problems in which the relations among the variables are linear: the con straint relations (i.e. the restrictions) must be in linear form and the function to be optimized (i.e. the objective function) must be a ratio of two linear functions.
Download or read book A Linear Programming Approach to Log Allocation written by Gary L. Westerkamp and published by . This book was released on 1978 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Resource Allocation Problems written by Toshihide Ibaraki and published by MIT Press (MA). This book was released on 1988 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a theoretical problem encountered in a variety of areas in operations research and management science, including load distribution, production planning, computer scheduling, portfolio selection, and apportionment. It is a timely and comprehensive summary of the past thirty years of research on algorithmic aspects of the resource allocation problem and its variants, covering Lagrangean multiplier method, dynamic programming, greedy algorithms, and their generalizations. Modern data structures are used to analyze the computational complexity of each algorithm. The resource allocation problem the authors take up is an optimization problem with a single simple constraint: it determines the allocation of a fixed amount of resources to a given number of activities in order to achieve the most effective results. It may be viewed as a special case of the nonlinear programming or nonlinear integer programming problem. Contents: Introduction. Resource Allocation with Continuous Variables. Resource Allocation with Integer Variables. Minimizing a Convex Separable Function. Minimax and Maximin Resource Allocation Problems. Fair Resource Allocation Problem. Apportionment Problem. Fundamentals of Submodular Systems. Resource Allocation Problems under Submodular Constraints. Further Topics on Resource Allocation Problems. Appendixes: Algorithms and Complexity. NP-completeness and NP-hardness. Toshihide lbaraki is Professor in the Department of Applied Mathematics and Physics at Kyoto University and Naoki Katoh is Associate Professor in the Department of Management Science at Kobe University of Commerce. Resource Allocation Problemsis included in the Foundations of Computing Series edited by Michael Garey and Albert Meyer.
Download or read book Achieving Optimal Allocation of Resources written by Shahnaz Akhtar Arifullah and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of the discipline of Operations Research or Mathematical Programming is not limited to only business management sciences; its application has vastly been extended to many other fields including farming. This paper uses one of the techniques of this mathematical management tool - Linear Programming (LP) - to work out the optimal allocation of resources in a sample of 355 growers, located along sides of two canals of Warsak Dam, running into Peshawar district.Results show that the existing cropping pattern is very much sub-optimal according to the LP suggested solution, wherein 10 out of 12 crops need to be reduced to give space to 2 relatively more enumerative cropping enterprises. The LP results further suggest that for sustainable development a gradual adoption of suggested LP solution would better perform compared to a hastily one-time change process.
