Linear-Fractional Programming Theory, Methods, Applications and Software

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Publisher : Springer Science & Business Media
ISBN 13 : 1441991743
Total Pages : 442 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Linear-Fractional Programming Theory, Methods, Applications and Software by : E.B. Bajalinov

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.

Fractional Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 940090035X
Total Pages : 430 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Fractional Programming by : I.M. Stancu-Minasian

Download or read book Fractional Programming written by I.M. Stancu-Minasian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical programming has know a spectacular diversification in the last few decades. This process has happened both at the level of mathematical research and at the level of the applications generated by the solution methods that were created. To write a monograph dedicated to a certain domain of mathematical programming is, under such circumstances,especially difficult. In the present monograph we opt for the domain of fractional programming. Interest of this subject was generated by the fact that various optimization problems from engineering and economics consider the minimization of a ratio between physical and/or economical functions, for example cost/time, cost/volume,cost/profit, or other quantities that measure the efficiency of a system. For example, the productivity of industrial systems, defined as the ratio between the realized services in a system within a given period of time and the utilized resources, is used as one of the best indicators of the quality of their operation. Such problems, where the objective function appears as a ratio of functions, constitute fractional programming problem. Due to its importance in modeling various decision processes in management science, operational research, and economics, and also due to its frequent appearance in other problems that are not necessarily economical, such as information theory, numerical analysis, stochastic programming, decomposition algorithms for large linear systems, etc., the fractional programming method has received particular attention in the last three decades.

Linear Integer Programming

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110703025
Total Pages : 200 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Linear Integer Programming by : Elias Munapo

Download or read book Linear Integer Programming written by Elias Munapo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-12-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in recent years. Topics as Characteristic equation (CE), application of CE to bi-objective and multi-objective problems, Binary integer problems, Mixed-integer models, Knapsack models, Complexity reduction, Feasible-space reduction, Random search, Connected graph are also treated.

ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I

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Publisher : Springer Science & Business Media
ISBN 13 : 3319031074
Total Pages : 792 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I by : Suresh Chandra Satapathy

Download or read book ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I written by Suresh Chandra Satapathy and published by Springer Science & Business Media. This book was released on 2013-10-19 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 88 papers presented at CSI 2013: 48th Annual Convention of Computer Society of India with the theme “ICT and Critical Infrastructure”. The convention was held during 13th –15th December 2013 at Hotel Novotel Varun Beach, Visakhapatnam and hosted by Computer Society of India, Vishakhapatnam Chapter in association with Vishakhapatnam Steel Plant, the flagship company of RINL, India. This volume contains papers mainly focused on Computational Intelligence and its applications, Mobile Communications and social Networking, Grid Computing, Cloud Computing, Virtual and Scalable Applications, Project Management and Quality Systems and Emerging Technologies in hardware and Software.

Fractional Programming

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Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fractional Programming by : Bruce Desmond Craven

Download or read book Fractional Programming written by Bruce Desmond Craven and published by . This book was released on 1988 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization Techniques for Problem Solving in Uncertainty

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Publisher : IGI Global
ISBN 13 : 1522550925
Total Pages : 327 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Optimization Techniques for Problem Solving in Uncertainty by : Tilahun, Surafel Luleseged

Download or read book Optimization Techniques for Problem Solving in Uncertainty written by Tilahun, Surafel Luleseged and published by IGI Global. This book was released on 2018-06-22 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: When it comes to optimization techniques, in some cases, the available information from real models may not be enough to construct either a probability distribution or a membership function for problem solving. In such cases, there are various theories that can be used to quantify the uncertain aspects. Optimization Techniques for Problem Solving in Uncertainty is a scholarly reference resource that looks at uncertain aspects involved in different disciplines and applications. Featuring coverage on a wide range of topics including uncertain preference, fuzzy multilevel programming, and metaheuristic applications, this book is geared towards engineers, managers, researchers, and post-graduate students seeking emerging research in the field of optimization.

Semi-Infinite Fractional Programming

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Publisher : Springer
ISBN 13 : 9811062560
Total Pages : 298 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Semi-Infinite Fractional Programming by : Ram U. Verma

Download or read book Semi-Infinite Fractional Programming written by Ram U. Verma and published by Springer. This book was released on 2017-10-24 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a smooth and unified transitional framework from generalised fractional programming, with a finite number of variables and a finite number of constraints, to semi-infinite fractional programming, where a number of variables are finite but with infinite constraints. It focuses on empowering graduate students, faculty and other research enthusiasts to pursue more accelerated research advances with significant interdisciplinary applications without borders. In terms of developing general frameworks for theoretical foundations and real-world applications, it discusses a number of new classes of generalised second-order invex functions and second-order univex functions, new sets of second-order necessary optimality conditions, second-order sufficient optimality conditions, and second-order duality models for establishing numerous duality theorems for discrete minmax (or maxmin) semi-infinite fractional programming problems. In the current interdisciplinary supercomputer-oriented research environment, semi-infinite fractional programming is among the most rapidly expanding research areas in terms of its multi-facet applications empowerment for real-world problems, which may stem from many control problems in robotics, outer approximation in geometry, and portfolio problems in economics, that can be transformed into semi-infinite problems as well as handled by transforming them into semi-infinite fractional programming problems. As a matter of fact, in mathematical optimisation programs, a fractional programming (or program) is a generalisation to linear fractional programming. These problems lay the theoretical foundation that enables us to fully investigate the second-order optimality and duality aspects of our principal fractional programming problem as well as its semi-infinite counterpart.

Handbook of Generalized Convexity and Generalized Monotonicity

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Publisher : Springer Science & Business Media
ISBN 13 : 0387233938
Total Pages : 684 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Handbook of Generalized Convexity and Generalized Monotonicity by : Nicolas Hadjisavvas

Download or read book Handbook of Generalized Convexity and Generalized Monotonicity written by Nicolas Hadjisavvas and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.

Linear Programming

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Publisher : Courier Corporation
ISBN 13 : 048643284X
Total Pages : 545 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Linear Programming by : Saul I. Gass

Download or read book Linear Programming written by Saul I. Gass and published by Courier Corporation. This book was released on 2003-01-01 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.

Linear Programming and Resource Allocation Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 1119509440
Total Pages : 448 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Linear Programming and Resource Allocation Modeling by : Michael J. Panik

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.

An Introduction to Linear Programming and Game Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.

Applications and Supplementary Bibliography of Fractional Programming

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Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Applications and Supplementary Bibliography of Fractional Programming by : Wendy Weite Chou

Download or read book Applications and Supplementary Bibliography of Fractional Programming written by Wendy Weite Chou and published by . This book was released on 1989 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 038774388X
Total Pages : 469 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Linear Programming by : Robert J Vanderbei

Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Third Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. You’ll discover a host of practical business applications as well as non-business applications. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered. The book’s accompanying website includes the C programs, JAVA tools, and new online instructional tools and exercises.

A Method for Mixed Linear-fractional Programming

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (713 download)

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Book Synopsis A Method for Mixed Linear-fractional Programming by : C. Van de Panne

Download or read book A Method for Mixed Linear-fractional Programming written by C. Van de Panne and published by . This book was released on 1981 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Programming: A Survey

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Publisher :
ISBN 13 :
Total Pages : 57 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Fractional Programming: A Survey by : Marcel Grunspan

Download or read book Fractional Programming: A Survey written by Marcel Grunspan and published by . This book was released on 1971 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although many fractional programming applications, theoretic results and algorithmic solutions have been published, there appears to be strong need for a central source of reference. The intent of this paper is to fill this need. The fractional programming problem has the special property the objective function can be expressed as a ratio of two functions. It is this special structure which invites special solutions. The paper is in two parts. In the first part we review publications in which problems were formulated as fractional programs. In the second part we review published results concerning the theory and algorithmic solutions of fractional programs. The hyperbolic program receives special attention. Four principal methods for attaining a solution are reviewed. These include an extension of Dantzig's simplex algorithm, a dual algorithm based on Lemke's dual simplex method, a parametric method and Charnes + Cooper's linear characterization of the problem is also reviewed. Some known results regarding the nonlinear fractional program are also reviewed. A bibliography is included. (Author).

Multiobjective Linear and Integer Programming

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Publisher : Springer
ISBN 13 : 331928746X
Total Pages : 216 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Multiobjective Linear and Integer Programming by : Carlos Henggeler Antunes

Download or read book Multiobjective Linear and Integer Programming written by Carlos Henggeler Antunes and published by Springer. This book was released on 2016-04-08 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book opens the door to multiobjective optimization for students in fields such as engineering, management, economics and applied mathematics. It offers a comprehensive introduction to multiobjective optimization, with a primary emphasis on multiobjective linear programming and multiobjective integer/mixed integer programming. A didactic book, it is mainly intended for undergraduate and graduate students, but can also be useful for researchers and practitioners. Further, it is accompanied by an interactive software package - developed by the authors for Windows platforms - which can be used for teaching and decision-making support purposes in multiobjective linear programming problems. Thus, besides the textbook’s coverage of the essential concepts, theory and methods, complemented with illustrative examples and exercises, the computational tool enables students to experiment and enhance their technical skills, as well as to capture the essential characteristics of real-world problems.

The Dhaka University Journal of Science

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Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis The Dhaka University Journal of Science by :

Download or read book The Dhaka University Journal of Science written by and published by . This book was released on 2012 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: