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Linear Programming

To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming.... Style is informal. ...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. —Choice Reviews This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. —Zentralblatt Math

To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming.

Linear Programming and its Applications

In the pages of this text readers will find nothing less than a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications. The most important classes of problems are surveyed and presented by means of mathematical formulations, followed by solution methods and a discussion of a variety of "what-if" scenarios. Non-simplex based solution methods and newer developments such as interior point methods are covered.

In the pages of this text readers will find nothing less than a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications.

Understanding and Using Linear Programming

The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

In Section 2.7 we encountered a situation in which among all feasible so- lutions
of a linear program, only those with all components integral are of interest in the
practical application. A similar situation occurs quite often in attempts to apply ...

Linear Programming

Foundations and Extensions

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.

In this chapter, we shall study an application of linear programming to an area of
statistics called regression. As a specific example, we shall use size and iteration
- count data collected from a standard suite of linear programming problems to ...

Logic-Based Program Synthesis and Transformation

9th International Workshop, LOPSTR'99, Venice, Italy, September 22-24, 1999 Selected Papers

This volume contains the proceedings of the ninth international workshop on logic-based program synthesis and transformation (LOPSTR’99) which was held in Venice (Italy), September 22-24, 1999. LOPSTRistheannualworkshopandforumforresearchersinthelogic-based program development stream of computational logic. The main focus used to be on synthesis and transformation of logic programs, but the workshop is open to contributions on logic-based program development in any paradigm. Previous workshops were held in Manchester, UK (1991, 1992), Louvain-la-Neuve, B- gium (1993), Pisa, Italy (1994), Arnhem, The Netherlands (1995), Stockholm, Sweden (1996), Leuven, Belgium (1997), and Manchester, UK (1998). LOPSTR is a real workshop in the sense that it is a friendly and lively forum for presenting recent and current research as well as discussing future trends. Formal proceedings of the workshop are produced only after the workshop and contain only those papers selected by the program committee after a second refereeing process. The program committee of LOPSTR’99 accepted 20 extended abstracts for presentation at the workshop; then selected 14 papers for inclusion in the po- workshop proceedings. Selected papers cover all the main streams of LOPSTR’s topics: synthesis, specialization, transformation, analysis, and veri?cation. Ve- ?cation, transformation, and specialization methods are applied to functional, constraint, logic, and imperative programming.

There are several kinds of temporal logic, the most used in model-checking being
PLTL (Propositional Linear Temporal Logic) [37], CTL (Computation Tree Logic) [
8] and the mu-calculus [32]. Reachability analysis is a variant of ...

Logic-Based Program Synthesis and Transformation

21st International Symposium, LOPSTR 2011, Odense, Denmark, July 18-20, 2011. Revised Selected Papers

This book constitutes the thoroughly refereed proceedings of the 21st International Symposium on Logic-Based Program Synthesis and Transformation, LOPSTR 2011, held in Odense, Denmark in July 2011. The 6 revised full papers presented together with 8 additional papers were carefully reviewed and selected from 28 submissions. Among the topics covered are specification, synthesis, verification, analysis, optimization, specialization, security, certification, applications and tools, program/model manipulation, and transformation techniques for any programming language paradigm.

We propose a program specialization technique for locally stratified CLP(Z)
programs, that is, logic programs with linear constraints over the set Z of the
integer numbers. For reasons of efficiency our technique makes use of a
relaxation from ...

Logic Based Program Synthesis and Transformation

12th International Workshop, LOPSTR 2002, Madrid, Spain, September 17-20, 2002, Revised Selected Papers

This book constitutes the thoroughly refereed post-proceedings of the 12th International Workshop on Logic Based Program Synthesis and Transformation, LOPSTR 2002, held in Madrid, Spain in September 2002. The 15 revised full papers presented together with 7 abstracts were carefully selected during two rounds of reviewing and revision from 40 submissions. The papers are organized in topical sections on debugging and types, tabling and constraints, abstract interpretation, program refinement, verification, partial evaluation, and rewriting and object-oriented development.

12th International Workshop, LOPSTR 2002, Madrid, Spain, September 17-20,
2002, Revised Selected Papers M. Leuschel, LOPSTR (Symposium), Spain)
Lopstr 200 (2002 Madrid. Two Variables per Linear Inequality as an Abstract
Domain ...

Logic Based Program Synthesis and Transformation

14th International Symposium, LOPSTR 2004, Verona, Italy, August 26-28, 2004, Revised Selected Papers

This book constitutes the thoroughly refereed postproceedings of the 14th International Symposium on Logic Based Program Synthesis and Transformation, LOPSTR 2004, held in Verona, Italy in August 2004. The 17 revised full papers presented were carefully selected and revised from 23 full paper and 11 extended abstract submissions. The papers are organized in topical sections on verification and analysis, theory and security, transformations, program development, termination, and program development and synthesis.

By bounding the degrees of these polynomials and their number, our method
reduces schema instantiation to non-linear constraint solving, based on the
theory of polynomial ideals. Although non-linear constraint solving is NP-hard, a
solution ...

Logic-Based Program Synthesis and Transformation

18th International Symposium, LOPSTR 2008, Valencia, Spain, July 17-18, 2008, Revised Selected Papers

This book constitutes the thoroughly refereed post-conference proceedings of the 18th International Symposium on Logic-Based Program Synthesis and Transformation, LOPSTR 2008, held in Valencia, Spain, during July 17-18, 2008. The 11 revised full papers presented together with one invited talk were carefully reviewed and selected for inclusion in the book. LOPSTR traditionally solicits papers in the areas of specification, synthesis, verification, transformation, analysis, optimization, composition, security, reuse, applications and tools, component-based software development, software architectures, agent-based software development, and program refinement.

In this paper we present a procedure for representing the semantics of linear
hybrid automata (LHAs) as constraint logic programs (CLP); flexible and accurate
analysis and verification of LHAs can then be performed using generic CLP ...

Program Analysis and Compilation, Theory and Practice

Essays Dedicated to Reinhard Wilhelm on the Occasion of His 60th Birthday

Reinhard Wilhelm's career in Computer Science spans more than a third of a century. This Festschrift volume, published to honor him on his 60th Birthday on June 10, 2006, includes 15 refereed papers by leading researchers, his graduate students and research collaborators, as well as current and former colleagues, who all attended a celebratory symposium held at Schloss Dagstuhl, Germany.

bounded linear map between them. A bounded linear map A† = G : D↦→ C is the
Moore-Penrose pseudo-inverse of A iff A ◦ G = PA and G◦ A = PG where PA and
PG denote P∗G = PG = P2G) onto orthogonal projections the ranges of A and ...