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Book Linear Programming and Resource Allocation Modeling

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.

Book Linear Programming and Resource Allocation Modeling

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 2018-10-25 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.

Book Strategic allocation of resources using linear programming model with parametric analysis  in MATLAB and Excel Solver

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.

Book Production Applications of Large Scale Linear Programming Models for Optimized Resource Allocation Within the U S  Department of Defense

Download or read book Production Applications of Large Scale Linear Programming Models for Optimized Resource Allocation Within the U S Department of Defense written by Justin C. Whiton and published by . This book was released on 1971 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper reviews four major large-scale linear programming models currently in use within the US Department of Defense. These models are examples of this technique as it is employed at the highest levels of decisionmaking within the DOD. A brief description and review of application experience are included for each model. The paper discusses developmental problems encountered between the model developers and the users. It concludes with a discussion of extension of applications described in this paper. (Author).

Book Strategic Allocation of Resources Using Linear Programming Model with Parametric Analysis

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.

Book Resource Allocation Behavior

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.

Book Energy Resource Allocation Optimazation

Download or read book Energy Resource Allocation Optimazation written by Paul F. Hutchins and published by . This book was released on 1976 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Equitable Resource Allocation

Download or read book Equitable Resource Allocation written by Hanan Luss and published by John Wiley & Sons. This book was released on 2012-09-11 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique book that specifically addresses equitable resource allocation problems with applications in communication networks, manufacturing, emergency services, and more Resource allocation problems focus on assigning limited resources in an economically beneficial way among competing activities. Solutions to such problems affect people and everyday activities with significant impact on the private and public sectors and on society at large. Using diverse application areas as examples, Equitable Resource Allocation: Models, Algorithms, and Applications provides readers with great insight into a topic that is not widely known in the field. Starting with an overview of the topics covered, the book presents a large variety of resource allocation models with special mathematical structures and provides elegant, efficient algorithms that compute optimal solutions to these models. Authored by one of the leading researchers in the field, Equitable Resource Allocation: Is the only book that provides a comprehensive exposition of equitable resource allocation problems Presents a collection of resource allocation models with applications in communication networks, transportation, content distribution, manufacturing, emergency services, and more Exhibits practical algorithms for solving a variety of resource allocation models Uses real-world applications and examples to explain important concepts Includes end-of-chapter exercises Bringing together much of the equitable resource allocation research from the past thirty years, this book is a valuable reference for anyone interested in solving diverse optimization problems.

Book Operations Research in Production Planning and Control

Download or read book Operations Research in Production Planning and Control written by Günter Fandel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains selected and refereed contributions that were presented at the conference on "Recent Developments and New Perspectives of Operations Research in the Area of Production Planning and Control" in Hagen/Germany, 25. - 26. June 1992. This conference was organized with the cooperation of the FernuniversiHit Hagen and was jointly hosted by the "Deutsche Gesellschaft fur Operations Research (DGOR)" and the "Manufacturing Special Interest Group of the Operations Research Society of America (ORSA-SIGMA)". For the organization of the conference we received generous financial support from the sponsors listed at the end of this volume. We wish to express our appreciation to all supporters for their contributions. This conference was the successor of the JOInt ORSA/DGOR-conference in Gaithersburg/Maryland, USA, on the 30. and 31. July 1991. Both OR-societies committed themselves in 1989 to host joint conferences on special topics of interest from the field of operations research. This goal has been successfully realized in the area of production management; and it should be an incentive to conduct similar joint conferences on other topics of operations research in the years to come. The 36 contributions in this proceedings volume deal with general and special problems in production planning as well as approaches and algorithms for their solution. They cover a wide range of operations research within product management and will therefore address a wide circle of interested readers among OR-scientists and professionals alike.

Book Operations Research

    Book Details:
  • Author : P. Ramamurthy
  • Publisher : New Age International
  • Release : 2007
  • ISBN : 8122420699
  • Pages : 22 pages

Download or read book Operations Research written by P. Ramamurthy and published by New Age International. This book was released on 2007 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Distributed Linear Programming Models in a Smart Grid

Download or read book Distributed Linear Programming Models in a Smart Grid written by Prakash Ranganathan and published by Springer. This book was released on 2017-03-31 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book showcases the strengths of Linear Programming models for Cyber Physical Systems (CPS), such as the Smart Grids. Cyber-Physical Systems (CPS) consist of computational components interconnected by computer networks that monitor and control switched physical entities interconnected by physical infrastructures. A fundamental challenge in the design and analysis of CPS is the lack of understanding in formulating constraints for complex networks. We address this challenge by employing collection of Linear programming solvers that models the constraints of sub-systems and micro grids in a distributed fashion. The book can be treated as a useful resource to adaptively schedule resource transfers between nodes in a smart power grid. In addition, the feasibility conditions and constraints outlined in the book will enable in reaching optimal values that can help maintain the stability of both the computer network and the physical systems. It details the collection of optimization methods that are reliable for electric-utilities to use for resource scheduling, and optimizing their existing systems or sub-systems. The authors answer to key questions on ways to optimally allocate resources during outages, and contingency cases (e.g., line failures, and/or circuit breaker failures), how to design de-centralized methods for carrying out tasks using decomposition models; and how to quantify un-certainty and make decisions in the event of grid failures.

Book Linear Programming  A Resource Allocation Methodology for Dental Managers

Download or read book Linear Programming A Resource Allocation Methodology for Dental Managers written by Jay D. Shulman and published by . This book was released on 1982 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of mathematical programming in health care has increased markedly in the past decade. This paper addresses the use of one form of mathematical programming, linear programming, for resource allocation, and provides an overview of the technique through the use of graphical examples relating to dentistry. The linear programming model is described and its interpretation is illustrated through the use of a sensitivity analysis. The role of the dental program managers as consumers of linear programs is discussed. (Author).

Book Dynamic Programming

    Book Details:
  • Author : Eric V. Denardo
  • Publisher : Courier Corporation
  • Release : 2012-12-27
  • ISBN : 0486150852
  • Pages : 240 pages

Download or read book Dynamic Programming written by Eric V. Denardo and published by Courier Corporation. This book was released on 2012-12-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed both for those who seek an acquaintance with dynamic programming and for those wishing to become experts, this text is accessible to anyone who's taken a course in operations research. It starts with a basic introduction to sequential decision processes and proceeds to the use of dynamic programming in studying models of resource allocation. Subsequent topics include methods for approximating solutions of control problems in continuous time, production control, decision-making in the face of an uncertain future, and inventory control models. The final chapter introduces sequential decision processes that lack fixed planning horizons, and the supplementary chapters treat data structures and the basic properties of convex functions. 1982 edition. Preface to the Dover Edition.

Book On the Use of Linear Programming for Family Planning Resource Allocation

Download or read book On the Use of Linear Programming for Family Planning Resource Allocation written by Rolando A. Danao and published by . This book was released on 1981 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Study of the Possibility and Feasibility of the Application of a Linear Programming Model for Optimum Resource Allocation and Budgeting of an Ohio Multiple Line Insurance Company

Download or read book A Study of the Possibility and Feasibility of the Application of a Linear Programming Model for Optimum Resource Allocation and Budgeting of an Ohio Multiple Line Insurance Company written by Harold Arthur Mielke and published by . This book was released on 1975 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Linear Programming  Resource Allocation and Non market Benefits

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: