Results 1  10
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31
ExternalMemory Graph Algorithms
, 1995
"... We present a collection of new techniques for designing and analyzing efficient externalmemory algorithms for graph problems and illustrate how these techniques can be applied to a wide variety of specific problems. Our results include: ffl Proximateneighboring. We present a simple method for der ..."
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Cited by 173 (22 self)
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We present a collection of new techniques for designing and analyzing efficient externalmemory algorithms for graph problems and illustrate how these techniques can be applied to a wide variety of specific problems. Our results include: ffl Proximateneighboring. We present a simple method for deriving externalmemory lower bounds via reductions from a problem we call the "proximate neighbors" problem. We use this technique to derive nontrivial lower bounds for such problems as list ranking, expression tree evaluation, and connected components. ffl PRAM simulation. We give methods for efficiently simulating PRAM computations in external memory, even for some cases in which the PRAM algorithm is not workoptimal. We apply this to derive a number of optimal (and simple) externalmemory graph algorithms. ffl Timeforward processing. We present a general technique for evaluating circuits (or "circuitlike" computations) in external memory. We also use this in a deterministic list rank...
Asymptotically Tight Bounds for Performing BMMC Permutations on Parallel Disk Systems
, 1994
"... This paper presents asymptotically equal lower and upper bounds for the number of parallel I/O operations required to perform bitmatrixmultiply/complement (BMMC) permutations on the Parallel Disk Model proposed by Vitter and Shriver. A BMMC permutation maps a source index to a target index by an a ..."
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Cited by 61 (18 self)
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This paper presents asymptotically equal lower and upper bounds for the number of parallel I/O operations required to perform bitmatrixmultiply/complement (BMMC) permutations on the Parallel Disk Model proposed by Vitter and Shriver. A BMMC permutation maps a source index to a target index by an affine transformation over GF (2), where the source and target indices are treated as bit vectors. The class of BMMC permutations includes many common permutations, such as matrix transposition (when dimensions are powers of 2), bitreversal permutations, vectorreversal permutations, hypercube permutations, matrix reblocking, Graycode permutations, and inverse Graycode permutations. The upper bound improves upon the asymptotic bound in the previous best known BMMC algorithm and upon the constant factor in the previous best known bitpermute/complement (BPC) permutation algorithm. The algorithm achieving the upper bound uses basic linearalgebra techniques to factor the characteristic matrix...
Integrating Theory and Practice in Parallel File Systems
 PROCEEDINGS OF THE 1993 DAGS/PC SYMPOSIUM (THE DARTMOUTH INSTITUTE FOR ADVANCED GRADUATE STUDIES
, 1993
"... Several algorithms for parallel disk systems have appeared in the literature recently, and they are asymptotically optimal in terms of the number of disk accesses. Scalable systems with parallel disks must be able to run these algorithms. We present for the first time a list of capabilities that mus ..."
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Cited by 52 (11 self)
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Several algorithms for parallel disk systems have appeared in the literature recently, and they are asymptotically optimal in terms of the number of disk accesses. Scalable systems with parallel disks must be able to run these algorithms. We present for the first time a list of capabilities that must be provided by the system to support these optimal algorithms: control over declustering, querying about the configuration, independent I/O, and turning off parity, file caching, and prefetching. We summarize recent theoretical and empirical work that justifies the need for these capabilities. In addition, we sketch an organization for a parallel file interface with lowlevel primitives and higherlevel operations.
ViC*: A preprocessor for virtualmemory C*
, 1994
"... This paper describes the functionality of ViC*, a compilerlike preprocessor foroutof core C*. The input to ViC* is a C * program but with certain shapes declared outofcore, which means that all parallel variables of these shapes reside on disk. The output is a standard C* program with the appropri ..."
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Cited by 40 (3 self)
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This paper describes the functionality of ViC*, a compilerlike preprocessor foroutof core C*. The input to ViC* is a C * program but with certain shapes declared outofcore, which means that all parallel variables of these shapes reside on disk. The output is a standard C* program with the appropriate I/O and library calls added for efficient access to outofcore parallel variables.
Efficient ExternalMemory Data Structures and Applications
, 1996
"... In this thesis we study the Input/Output (I/O) complexity of largescale problems arising e.g. in the areas of database systems, geographic information systems, VLSI design systems and computer graphics, and design I/Oefficient algorithms for them. A general theme in our work is to design I/Oeffic ..."
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Cited by 38 (12 self)
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In this thesis we study the Input/Output (I/O) complexity of largescale problems arising e.g. in the areas of database systems, geographic information systems, VLSI design systems and computer graphics, and design I/Oefficient algorithms for them. A general theme in our work is to design I/Oefficient algorithms through the design of I/Oefficient data structures. One of our philosophies is to try to isolate all the I/O specific parts of an algorithm in the data structures, that is, to try to design I/O algorithms from internal memory algorithms by exchanging the data structures used in internal memory with their external memory counterparts. The results in the thesis include a technique for transforming an internal memory tree data structure into an external data structure which can be used in a batched dynamic setting, that is, a setting where we for example do not require that the result of a search operation is returned immediately. Using this technique we develop batched dynamic external versions of the (onedimensional) rangetree and the segmenttree and we develop an external priority queue. Following our general philosophy we show how these structures can be used in standard internal memory sorting algorithms
I/OEfficient Scientific Computation Using TPIE
 In Proceedings of the Goddard Conference on Mass Storage Systems and Technologies, NASA Conference Publication 3340, Volume II
, 1995
"... In recent years, I/Oefficient algorithms for a wide variety of problems have appeared in the literature. Thus far, however, systems specifically designed to assist programmers in implementing such algorithms have remained scarce. TPIE is a system designed to fill this void. It supports I/Oeff ..."
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Cited by 34 (10 self)
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In recent years, I/Oefficient algorithms for a wide variety of problems have appeared in the literature. Thus far, however, systems specifically designed to assist programmers in implementing such algorithms have remained scarce. TPIE is a system designed to fill this void. It supports I/Oefficient paradigms for problems from a variety of domains, including computational geometry, graph algorithms, and scientific computation. The TPIE interface frees programmers from having to deal not only of explicit read and write calls, but also the complex memory management that must be performed for I/Oefficient computation.
Experiments on the Practical I/O Efficiency of Geometric Algorithms: Distribution Sweep vs. Plane Sweep
, 1995
"... We present an extensive experimental study comparing the performance of four algorithms for the following orthogonal segment intersection problem: given a set of horizontal and vertical line segments in the plane, report all intersecting horizontalvertical pairs. The problem has important applicati ..."
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Cited by 26 (8 self)
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We present an extensive experimental study comparing the performance of four algorithms for the following orthogonal segment intersection problem: given a set of horizontal and vertical line segments in the plane, report all intersecting horizontalvertical pairs. The problem has important applications in VLSI layout and graphics, which are largescale in nature. The algorithms under evaluation are distribution sweep and three variations of plane sweep. Distribution sweep is specifically designed for the situations in which the problem is too large to be solved in internal memory, and theoretically has optimal I/O cost. Plane sweep is a wellknown and powerful technique in computational geometry, and is optimal for this particular problem in terms of internal computation. The three variations of plane sweep differ by the sorting methods (external vs. internal sorting) used in the preprocessing phase and the dynamic data structures (B tree vs. 234 tree) used in the sweeping ...
ExternalMemory Algorithms with Applications in Geographic Information Systems
 Algorithmic Foundations of GIS
, 1997
"... In the design of algorithms for largescale applications it is essential to consider the problem of minimizing Input/Output (I/O) communication. Geographical information systems (GIS) are good examples of such largescale applications as they frequently handle huge amounts of spatial data. In this n ..."
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Cited by 26 (9 self)
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In the design of algorithms for largescale applications it is essential to consider the problem of minimizing Input/Output (I/O) communication. Geographical information systems (GIS) are good examples of such largescale applications as they frequently handle huge amounts of spatial data. In this note we survey the recent developments in externalmemory algorithms with applications in GIS. First we discuss the AggarwalVitter I/Omodel and illustrate why normal internalmemory algorithms for even very simple problems can perform terribly in an I/Oenvironment. Then we describe the fundamental paradigms for designing I/Oefficient algorithms by using them to design efficient sorting algorithms. We then go on and survey externalmemory algorithms for computational geometry problems  with special emphasis on problems with applications in GIS  and techniques for designing such algorithms: Using the orthogonal line segment intersection problem we illustrate the distributionsweeping and ...
Heuristics for Scheduling I/O Operations
 IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS
, 1997
"... The I/O bottleneck in parallel computer systems has recently begun receiving increasing interest. Most attention has focused on improving the performance of I/O devices using fairly lowlevel parallelism in techniques such as disk striping and interleaving. Widely applicable solutions, however, will ..."
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Cited by 22 (1 self)
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The I/O bottleneck in parallel computer systems has recently begun receiving increasing interest. Most attention has focused on improving the performance of I/O devices using fairly lowlevel parallelism in techniques such as disk striping and interleaving. Widely applicable solutions, however, will require an integrated approach which addresses the problem at multiple system levels, including applications, systems software, and architecture. We propose that within the context of such an integrated approach, scheduling parallel I/O operations will become increasingly attractive and can potentially provide substantial performance benefits. We describe a simple I/O scheduling problem and present approximate algorithms for its solution. The costs of using these algorithms in terms of execution time, and the benefits in terms of reduced time to complete a batch of I/O operations, are compared with the situations in which no scheduling is used, and in which an optimal scheduling algorithm is used. The comparison is performed both theoretically and experimentally. We have found that, in exchange for a small execution time overhead, the approximate scheduling algorithms can provide substantial improvements in I/O completion times.
Markov Analysis of MultipleDisk Prefetching Strategies for External Merging
 Theoretical Computer Science
, 1994
"... Multipledisk organizations can be used to improve the I/O performance of problems like external merging. Concurrency can be introduced by overlapping I/O requests at different disks and by prefetching additional blocks on each I/O operation. To support this prefetching, a memory cache is require ..."
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Cited by 19 (7 self)
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Multipledisk organizations can be used to improve the I/O performance of problems like external merging. Concurrency can be introduced by overlapping I/O requests at different disks and by prefetching additional blocks on each I/O operation. To support this prefetching, a memory cache is required. Markov models for two prefetching strategies are developed and analyzed. Closedform expressions for the average parallelism obtainable for a given cache size and number of disks are derived for both prefetching strategies. These analytic results are confirmed by simulation. Keywords : Parallel I/O, Prefetching, Disk Cache, External Merging, Declustered Disks, Markov Chains. To appear in Theoretical Computer Science Short version in 1992 Intl. Conf. on Parallel Processing. Partially supported by an NSF Graduate Research Fellowship while at the ECE Department, Rice University. y Partially supported by NSF Research Initiation Award CCR 9010534. z Partially supported by NSF and D...