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We analyze local search heuristics for the metric k-median and facility location problems. We define the locality gap of a local search procedure for a minimization problem as the maximum ratio of a locally optimum solution (obtained using this procedure) to the global optimum. For k-median, we show that local search with swaps has a locality gap of 5.… (More)

In this paper, we analyze local search heuristics for the <italic>k</italic>-median and facility location problems. We define the {\em locality gap\/} of a local search procedure as the maximum ratio of a locally optimum solution (obtained using this procedure) to the global optimum. For <italic>k</italic>-median, we show that local search with swaps has a… (More)

In this paper, we present a comprehensive theoretical analysis of the sampling technique for the association rule mining problem. Most of the previous works have concentrated only on the empirical evaluation of the effectiveness of sampling for the step of finding frequent itemsets. To the best of our knowledge, a theoretical framework to analyze the… (More)

- Narasimha R. Adiga, George Almási, Yariv Aridor, Rajkishore Barik, Daniel K. Beece, Ralph Bellofatto +108 others
- SC
- 2002

This paper gives an overview of the BlueGene/L Supercomputer. This is a jointly funded research partnership between IBM and the Lawrence Livermore National Laboratory as part of the United States Department of Energy ASCI Advanced Architecture Research Program. Application performance and scaling studies have recently been initiated with partners at a… (More)

We consider scheduling problems in which a job consists of components of different types to be processed on m machines. Each machine is capable of processing components of a single type. Different components of a job are independent and can be processed in parallel on different machines. A job is considered as completed only when all its components have… (More)

The Universal Facility Location problem (UniFL) is a generalized formulation which contains several variants of facility location including capacitated facility location (1-CFL) as its special cases. We present a 6 + ε approximation for the UniFL problem, thus improving the 8 + ∈ approximation given by Mahdian and Pal. Our result bridges the… (More)

- Sreyash Kenkre, Arindam Khan, Vinayaka Pandit
- 2010

The problem of ordering a set of entities which contain inherent ties among them arises in many applications. Notion of " bucket order " has emerged as a popular mechanism of ranking in such settings. A bucket order is an ordered partition of the set of entities into " buckets ". There is a total order on the buckets, but the entities within a bucket are… (More)

We consider the problem of constructing decision trees for entity identification from a given relational table. The input is a table containing information about a set of entities over a fixed set of attributes and a probability distribution over the set of entities that specifies the likelihood of the occurrence of each entity. The goal is to construct a… (More)

In this paper, we define a network service provider game. We show that the price of anarchy of the defined game can be bounded by analyzing a local search heuristic for a related facility location problem called the k-facility location problem. As a result, we show that the k-facility location problem has a locality gap of 5. This result is of interest on… (More)