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Discrete optimization issues are in all places, from conventional operations analysis planning (scheduling, facility location and network design); to pc science databases; to promoting points in viral advertising. But most such issues are NP-onerous; until P = NP, there are not any environment friendly algorithms to seek out optimum options. This book exhibits the best way to design approximation algorithms: environment friendly algorithms that discover provably close to-optimum options. The book is organized round central algorithmic methods for designing approximation algorithms, together with grasping and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Every chapter within the first part is dedicated to a single algorithmic method utilized to a number of totally different issues, with extra refined remedy within the second part. The book additionally covers strategies for proving that optimization issues are exhausting to approximate. Designed as a textbook for graduate-degree algorithm programs, it may also function a reference for researchers within the heuristic answer of discrete optimization issues.
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