D.P. Williamson and D.B. Shmoys. The Design of Approximation Algorithms. Cambridge University Press, 2011.
Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.
K. Aardal, J.K. Lenstra, F. Maffioli, and D.B. Shmoys (eds.). Selected publications of Eugene L. Lawler. CWI, 1999.
This volume is intended as a scientific and personal memorial to the late Gene Lawler, who passed away at the age of 61 in 1994. It contains a complete list of his publications, and a selection of 26 techical and expository papers.
E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, and D.B. Shmoys (eds.). The Traveling Salesman Problem. Wiley, Chichester, 1985.
The traveling salesman problem has served as the testbest for virtually every known approach to combinatorial optimization problems. This textbook attempts to introduce the reader the essential elements of combinatorial optimization by focusing on just this one problem. For each approach, the corresponding chapter is written by leading figures in the area, but the book has been edited to yield a unified result.
David B. Shmoys
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