Titlebook: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques; 12th International W Irit Dinur,Klaus Jansen,José

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Conditional Measures and Algebras,job has a specified profit, and we are no longer required to process all jobs? Instead, we can schedule any subset of jobs whose total profit is at least a (hard) target profit requirement, while still trying to approximately minimize the objective function..We refer to this class of problems as ..

招惹

https://doi.org/10.1007/978-3-642-70335-5rs so that a maximum fraction of edges are properly colored (i.e. their endpoints receive different colors). A random .-coloring properly colors an expected fraction . of edges. We prove that given a graph promised to be .-colorable, it is NP-hard to find a .-coloring that properly colors more than

CESS

https://doi.org/10.1007/978-3-642-70335-5r bins or a strip of minimal height, respectively. All packings have to be non-overlapping and orthogonal, i.e., axis-parallel. Our algorithm for strip packing has an absolute approximation ratio of 1.9396 and is the first algorithm to break the approximation ratio of 2 which was established more th

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Ergodic Theory and Dynamical Systemsers, each with a budget and an intention to buy a fixed subset of items. Given prices on the items, each buyer buys his subset of items, at the given prices, provided the total price of the subset is at most his budget. The objective of the seller is to determine the prices such that her total profi

Nonconformist

Measurable Partitions and ,-Algebrascheduling decisions. In order for messages to arrive on time, one has to determine a suitable (short) origin-destination path for each message and resolve conflicts between messages whose paths share a communication link of the network. We provide efficient routing strategies yielding origin-destina

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978-3-642-03684-2Springer-Verlag Berlin Heidelberg 2009