Integral Convex Polyhedra And An Approach To Integralization

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Integral Convex Polyhedra and an Approach to Integralization

Author : Murray Edelberg
Publisher : Unknown
Page : 180 pages
File Size : 49,5 Mb
Release : 1970
Category : Linear programming
ISBN : UCSD:31822011145729

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Integral Convex Polyhedra and an Approach to Integralization by Murray Edelberg Pdf

Many combinatorial optimization problems may be formulated as integer linear programming problems, that is, problems of the form: given a convex polyhedron P contained in the non-negative orthant of n-dimensional space, find an integer point in P which maximizes (or minimizes) a given linear objective function. Well known linear programming methods would suffice to solve such a problem if: (1) P is an integral convex polyhedron, or (2) P is transformed into the integral convex polyhedron that is the convex hull of the set of integer points in P, a process which is called integralization. This thesis provides some theoretical results concerning integral convex polyhedra and the process of integralization. Necessary and sufficient conditions for a convex polyhedron P to have the integral property are derived in terms of the system of linear inequalities defining P.A number-theoretic method for integralizing two-dimensional convex polyhedra is developed which makes use of a generalization of the division theorem for integers. The method is applicable to a restricted class of higher dimensional polyhedra as well. (Author).

Integration of Robots into CIM

Author : R. Dillman
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 55,9 Mb
Release : 1992
Category : Computers
ISBN : 0412371405

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Integration of Robots into CIM by R. Dillman Pdf

From its inception in 1983, ESPRIT (the European Strategic Programme for Research and Development in Information Technology) has aimed at improving the competitiveness of European industry and providing it with the technology needed for the 1990s. Esprit Project 623, on which most of the work presented in this book is based, was one of the key projects in the ESPRIT area, Computer Integrated Manufacturing (CIM). From its beginnings in 1985, it brought together a team of researchers from industry, research institutes and universities to explore and develop a critical stream of advanced manufacturing technology that would be timely and mature for industrial exploitation in a five year time frame. The synergy of cross border collaboration between technology users and vendors has led to results ranging from new and improved products to training courses given at universities. The subject of Esprit Project 623 was the integration of robots into manufacturing environments. Robots are a vital element in flexible automation and can contribute substantially to manufacturing efficiency. The project had two main themes, off-line programming and robot system planning. Off-line programming enlarges the application area of robots and opens up new possibilities in domains such as laser cutting, and other hazardous operations. Reported benefits obtained from off-line program ming include: - significant cost reductions because re-programming eliminates robot down-time; - faster production cycles, in some cases time-savings of up to 85% are reported; - the optimal engineering of products with improved quality.

Integration of Robots into CIM

Author : Roger Bernard,R. Dillman,K. Hormann,K. Tierney
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401123723

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Integration of Robots into CIM by Roger Bernard,R. Dillman,K. Hormann,K. Tierney Pdf

From its inception in 1983, ESPRIT (the European Strategic Programme for Research and Development in Information Technology) has aimed at improving the competitiveness of European industry and providing it with the technology needed for the 1990s. Esprit Project 623, on which most of the work presented in this book is based, was one of the key projects in the ESPRIT area, Computer Integrated Manufacturing (CIM). From its beginnings in 1985, it brought together a team of researchers from industry, research institutes and universities to explore and develop a critical stream of advanced manufacturing technology that would be timely and mature for industrial exploitation in a five year time frame. The synergy of cross border collaboration between technology users and vendors has led to results ranging from new and improved products to training courses given at universities. The subject of Esprit Project 623 was the integration of robots into manufacturing environments. Robots are a vital element in flexible automation and can contribute substantially to manufacturing efficiency. The project had two main themes, off-line programming and robot system planning. Off-line programming enlarges the application area of robots and opens up new possibilities in domains such as laser cutting, and other hazardous operations. Reported benefits obtained from off-line program ming include: - significant cost reductions because re-programming eliminates robot down-time; - faster production cycles, in some cases time-savings of up to 85% are reported; - the optimal engineering of products with improved quality.

Integer Programming and Related Areas

Author : C. Kastning
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 50,5 Mb
Release : 2013-11-11
Category : Business & Economics
ISBN : 9783662022849

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Integer Programming and Related Areas by C. Kastning Pdf

Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.

Studies in Integer Programming

Author : Anonim
Publisher : Elsevier
Page : 561 pages
File Size : 40,5 Mb
Release : 2011-10-10
Category : Mathematics
ISBN : 0080867642

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Studies in Integer Programming by Anonim Pdf

Studies in Integer Programming

Linear and Integer Programming vs Linear Integration and Counting

Author : Jean-Bernard Lasserre
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 44,7 Mb
Release : 2009-04-21
Category : Business & Economics
ISBN : 9780387094144

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Linear and Integer Programming vs Linear Integration and Counting by Jean-Bernard Lasserre Pdf

This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.

Convex Integration Theory

Author : David Spring
Publisher : Birkhäuser
Page : 217 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034889407

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Convex Integration Theory by David Spring Pdf

§1. Historical Remarks Convex Integration theory, first introduced by M. Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. The other methods are: (i) Removal of Singularities, introduced by M. Gromov and Y. Eliashberg [8]; (ii) the covering homotopy method which, following M. Gromov's thesis [16], is also referred to as the method of sheaves. The covering homotopy method is due originally to S. Smale [36] who proved a crucial covering homotopy result in order to solve the classification problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succes sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Conse quently, each method has a range of applications to problems in topology that are best suited to its particular insight. For example, a distinguishing feature of Convex Integration theory is that it applies to solve closed relations in jet spaces, including certain general classes of underdetermined non-linear systems of par tial differential equations. As a case of interest, the Nash-Kuiper Cl-isometrie immersion theorem ean be reformulated and proved using Convex Integration theory (cf. Gromov [18]). No such results on closed relations in jet spaees can be proved by means of the other two methods.

On the Unboundedness of the Set of Integral Points in a Polyhedral Region

Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher : Unknown
Page : 30 pages
File Size : 51,9 Mb
Release : 1974
Category : Electronic
ISBN : STANFORD:36105046360835

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On the Unboundedness of the Set of Integral Points in a Polyhedral Region by Stanford University. Department of Operations Research. Systems Optimization Laboratory Pdf

Crystallographic Instrumentation

Author : L. A. Aslanov,G. V. Fetisov,J. A. K. Howard
Publisher : Oxford University Press
Page : 334 pages
File Size : 45,9 Mb
Release : 1998
Category : Science
ISBN : 0198559275

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Crystallographic Instrumentation by L. A. Aslanov,G. V. Fetisov,J. A. K. Howard Pdf

Innovations in crystallographic instrumentation and the rapid development of methods of diffraction measurement have led to a vast improvement in our ability to determine crystal and molecular structure. This up-to-date resource will allow the reader to harness the potential of X-ray diffraction instruments. Different sources of X-radiation used in crystallography are introduced, including synchrotron radiation, as well as a systematic review of detectors for X-rays and basic instruments for single crystal and powder diffractometry. The principles of the diffraction experiment are discussed and related to their practical application with a comparative description of different scan procedures. Diffraction data collection and processing are also reviewed and methods for error correction are described. This book will provide a useful guide for researchers and students starting in this area of science, as well as skilled crystallographers.

Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems

Author : Tobias Achterberg,J. Christopher Beck
Publisher : Springer
Page : 261 pages
File Size : 42,9 Mb
Release : 2011-05-05
Category : Computers
ISBN : 9783642213113

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Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems by Tobias Achterberg,J. Christopher Beck Pdf

This book constitutes the refereed proceedings of the 8th International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2011, held in Berlin, Germany, in May 2011. The 13 revised full papers and 7 revised short papers presented together with 3 invited lectures were carefully reviewed and selected from 35 submissions. The papers are focused on both theoretical and practical, application-oriented issues and present current research with a special focus on the integration and hybridization of the approaches of constraint programming, artificial intelligence, and operations research technologies for solving large scale and complex real life combinatorial optimization problems.

Measure and Integration

Author : S. Kesavan
Publisher : Springer
Page : 232 pages
File Size : 55,7 Mb
Release : 2019-02-25
Category : Mathematics
ISBN : 9789811366789

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Measure and Integration by S. Kesavan Pdf

This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.

Government Reports Index

Author : Anonim
Publisher : Unknown
Page : 1342 pages
File Size : 45,5 Mb
Release : 1970
Category : Government publications
ISBN : STANFORD:36105013139527

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Government Reports Index by Anonim Pdf