Gerard Cornuéjols – författare
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4 produkter
4 produkter
Häftad, Engelska, 2001
826 kr
Skickas inom 5-8 vardagar
This monograph presents new and elegant proofs of classical results and makes difficult results accessible.The integer programming models known as set packing and set covering have a wide range of applications. Sometimes, owing to the special structure of the constraint matrix, the natural linear programming relaxation yields an optimal solution that is integral, thus solving the problem. Sometimes, both the linear programming relaxation and its dual have integral optimal solutions. Under which conditions do such integrality conditions hold? This question is of both theoretical and practical interest. Min-max theorems, polyhedral combinatorics, and graph theory all come together in this rich area of discrete mathematics. This monograph presents several of these beautiful results as it introduces mathematicians to this active area of research.To encourage research on the many intriguing open problems that remain, Dr. Cornuéjols is offering a $5000 prize to the first paper solving or refuting each of the 18 conjectures described in the book. To claim one of the prizes mentioned in the preface, papers must be accepted by a quality refereed journal (such as Journal of Combinatorial Theory B, Combinatorica, SIAM Journal on Discrete Mathematics, or others to be determined by Dr. Cornuéjols) before 2020. Claims must be sent to Dr. Cornuéjols at Carnegie Mellon University during his lifetime.
Del 271 - Graduate Texts in Mathematics
Integer Programming
Inbunden, Engelska, 2014
598 kr
Skickas inom 10-15 vardagar
This book is an elegant and rigorous presentation of integer programming, exposing the subject’s mathematical depth and broad applicability. Special attention is given to the theory behind the algorithms used in state-of-the-art solvers. An abundance of concrete examples and exercises of both theoretical and real-world interest explore the wide range of applications and ramifications of the theory. Each chapter is accompanied by an expertly informed guide to the literature and special topics, rounding out the reader’s understanding and serving as a gateway to deeper study.Key topics include:formulationspolyhedral theorycutting planesdecompositionenumerationsemidefinite relaxationsWritten by renowned experts in integer programming and combinatorial optimization, Integer Programming is destined to become an essential text in the field.
Häftad, Engelska, 2016
598 kr
Skickas inom 10-15 vardagar
This book is an elegant and rigorous presentation of integer programming, exposing the subject’s mathematical depth and broad applicability. Special attention is given to the theory behind the algorithms used in state-of-the-art solvers. An abundance of concrete examples and exercises of both theoretical and real-world interest explore the wide range of applications and ramifications of the theory. Each chapter is accompanied by an expertly informed guide to the literature and special topics, rounding out the reader’s understanding and serving as a gateway to deeper study.Key topics include:formulationspolyhedral theorycutting planesdecompositionenumerationsemidefinite relaxationsWritten by renowned experts in integer programming and combinatorial optimization, Integer Programming is destined to become an essential text in the field.
Häftad, Engelska, 1999
544 kr
Skickas inom 10-15 vardagar
This volume contains the papers selected for presentation at IPCO VII, the Seventh Conference on Integer Programming and Combinatorial Optimization, Graz,Austria,June9{11,1999.Thismeetingisaforumforresearchersandpr- titioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, compu- tion, and applications of integer programming and combinatorial optimization. Topics include, but are not limited to: approximation algorithms, branch and bound algorithms, computational biology, computational complexity, compu- tional geometry, cutting plane algorithms, diophantine equations, geometry of numbers, graph and network algorithms, integer programming, matroids and submodular functions, on-line algorithms, polyhedral combinatorics, scheduling theory and algorithms, and semide nite programs. IPCO was established in 1988 when the rst IPCO program committee was formed. IPCO I took place in Waterloo (Canada) in 1990, IPCO II was held in Pittsburgh (USA) in 1992, IPCO III in Erice (Italy) 1993, IPCO IV in Cop- hagen (Denmark) 1995, IPCO V in Vancouver (Canada) 1996, and IPCO VI in Houston (USA) 1998.IPCO is held every year in which no MPS (Mathematical Programming Society) International Symposium takes place: 1990, 1992, 1993, 1995,1996,1998,1999,2001,2002,2004,2005,2007,2008,::::::Since the MPS meeting is triennial, IPCO conferences are held twice in everythree-year period. As a rule, in even years IPCO is held somewhere in Northern America, and in odd years it is held somewhere in Europe. In response to the call for papers for IPCO'99, the program committee - ceived99submissions,indicatingastrongandgrowinginterestintheconference.