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Applying parallel computation algorithms in the design of serial algorithms
 J. ACM
, 1983
"... Abstract. The goal of this paper is to point out that analyses of parallelism in computational problems have practical implications even when multiprocessor machines are not available. This is true because, in many cases, a good parallel algorithm for one problem may turn out to be useful for design ..."
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Cited by 232 (7 self)
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Abstract. The goal of this paper is to point out that analyses of parallelism in computational problems have practical implications even when multiprocessor machines are not available. This is true because, in many cases, a good parallel algorithm for one problem may turn out to be useful for designing an efficient serial algorithm for another problem. A d ~ eframework d for cases like this is presented. Particular cases, which are discussed in this paper, provide motivation for examining parallelism in sorting, selection, minimumspanningtree, shortest route, maxflow, and matrix multiplication problems, as well as in scheduling and locational problems.
Performance and Reliability Analysis Using Directed Acyclic Graphs
 IEEE Trans. Software Eng
, 1987
"... AbstractA graphbased modeling technique has been developed for the stochastic analysis of systems containing concurrency. The basis of the technique is the use of directed acyclic graphs. These graphs represent eventprecedence networks where activities may occur serially, probabilistically, or co ..."
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Cited by 39 (5 self)
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AbstractA graphbased modeling technique has been developed for the stochastic analysis of systems containing concurrency. The basis of the technique is the use of directed acyclic graphs. These graphs represent eventprecedence networks where activities may occur serially, probabilistically, or concurrently. When a set of activities occurs concurrently, the condition for the set of activities to complete is that a specified number of the activities must complete. This includes the special cases that one or all of the activities must complete. The cumulative distribution function associated with an activity is assumed to have exponential polynomial form. Further generality is obtained by allowing these distributions to have a mass at the origin and/or at infinity. The distribution function for the time taken to complete the entire graph is computed symbolically in the time parameter t. The technique allows two or more graphs to be combined hierarchically. Applications of the technique to the evaluation of concurrent program execution time and to the reliability analysis of faulttolerant systems are discussed. Index TermsAvailability, directed acyclic graphs, faulttolerance, Markov models, performance evaluation, program performance, reliability. I.
Collision Graph based Communication Scheduling for Parallel Systems
 Journal of Computers and their Applications
, 1997
"... Applications such as image processing, fluid mechanics, and geophysical data analysis are examples of problems that require the high computing performance provided by multiprocessor systems. Such performance depends highly on the interprocessor communication time resulting from allocating tasks to ..."
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Cited by 10 (8 self)
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Applications such as image processing, fluid mechanics, and geophysical data analysis are examples of problems that require the high computing performance provided by multiprocessor systems. Such performance depends highly on the interprocessor communication time resulting from allocating tasks to the individual processors. This research focuses on the development of techniques that reduce the communication overhead by intelligently scheduling message transmissions within a tightlycoupled processor network. Using a collision graph to model the system message traffic, static scheduling algorithms are developed to reduce the communication overhead. Since a priori knowledge about the network, required in static approaches, may not always be available or accurate, dynamic scheduling is also considered. A novel hybrid staticdynamic scheduling approach is presented which operates in a dynamic environment, yet uses known communication pattern information. Results show improvement over base...
CompileTime Communication Scheduling on Parallel Systems
, 1995
"... In applications requiring very high throughput such as real time image processing and digital signal processing, the use of parallel processing techniques has become widespread. However, the potential performance gains from using multiple processors can be diminished by the communication overhead in ..."
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Cited by 2 (1 self)
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In applications requiring very high throughput such as real time image processing and digital signal processing, the use of parallel processing techniques has become widespread. However, the potential performance gains from using multiple processors can be diminished by the communication overhead inherent in these systems. Reducing this overhead would drastically improve system performance. In this paper, static communication scheduling of messages in an interconnection network is addressed. Static communication scheduling is taken to mean the a priori (compile time) determination of when the nodes should send their messages to other nodes in the network. Although research on static scheduling for parallel systems has been ongoing for many years, our problem has not been rigorously studied. This paper builds a framework based on our newly developed graph model called a Collision Graph. Using this model, determining an optimal schedule is proven to be NPComplete. Several efficient algo...
Communication Scheduling for messages with varying departure times using the Collision Graph Model
, 1995
"... In applications requiring very high throughput or which have realtime deadlines, the use of parallel processing techniques has become widespread. This has been done in hopes of exploiting the promise of vast performance gains provided by parallel processing. However, these potential gains can be ..."
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Cited by 1 (1 self)
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In applications requiring very high throughput or which have realtime deadlines, the use of parallel processing techniques has become widespread. This has been done in hopes of exploiting the promise of vast performance gains provided by parallel processing. However, these potential gains can be diminished by the communication overhead inherent in these systems. In this paper, such a communication overhead was encountered while work was being performed on simulations of partial differential equations (representing fluid dynamics problems) by using the multidimensional wave filters method. With tightlycoupled architectures being used as the platform, the static communication scheduling of messages in the network is addressed. The compile time determination of when nodes should send their messages to other nodes in the network is what is termed static communication scheduling. In parallel systems the static scheduling of computational tasks has been studied for some time, ho...
Optimal Communication Scheduling Based On Collision Graph Model
 in 1996 International Conference on Accoustics, Speech and Signal Processing
, 1996
"... While research on the static scheduling of computational tasks for parallel systems has been ongoing for years, most work does not consider the communication costs nor does it consider the network congestion. A new static scheduling technique is presented which focuses on the communication overhead ..."
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While research on the static scheduling of computational tasks for parallel systems has been ongoing for years, most work does not consider the communication costs nor does it consider the network congestion. A new static scheduling technique is presented which focuses on the communication overhead inherent in parallel processing systems. This paper builds a framework based on a newly developed graph model called a Collision Graph to study this problem. Using this model, algorithms are developed which can be embedded into existing static scheduling methods to improve their performance. The scheduling of cyclic data flow graphs was shown to be improved significantly as this technique was applied to the recently developed cyclocompaction scheduling algorithm. 1. INTRODUCTION In DSP systems requiring high throughput and having realtime deadlines, application specific multiprocessor designs are increasingly being used. For example in spacecraft image acquisition, filtering and compress...
A Concurrent Dynamic Task Graph
 Parallel Computing, Vol 22, No 2, Ferbruary
, 1996
"... Task graphs are used for scheduling tasks on parallel processors when the tasks have dependencies. If the execution of the program is known ahead of time, then the tasks can be statically and optimally allocated to the processors. If the tasks and task dependencies aren't known ahead of time (the ca ..."
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Task graphs are used for scheduling tasks on parallel processors when the tasks have dependencies. If the execution of the program is known ahead of time, then the tasks can be statically and optimally allocated to the processors. If the tasks and task dependencies aren't known ahead of time (the case in some analysisfactor sparse matrix algorithms), then task scheduling must be performed on the fly. We present simple algorithms for a concurrent dynamictask graph. A processor that needs to execute a new task can query the task graph for a new task, and new tasks can be added to the task graph on the fly. We present several alternatives for allocating tasks for processors and compare their performance.
Yerevan State University
, 1999
"... A parametric approach is developed to the method of Stree diagrams and its generalization for investigation of the hierarchical substructure of Nbody nonlinearly interacting systems (e.g., clusters of galaxies). The introduction of a parametric function allows us to take into account the individua ..."
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A parametric approach is developed to the method of Stree diagrams and its generalization for investigation of the hierarchical substructure of Nbody nonlinearly interacting systems (e.g., clusters of galaxies). The introduction of a parametric function allows us to take into account the individual features of the particles which do not have a direct influence on the dynamics of the system but are crucial for analyzing the output data. An algorithm is proposed for the latter based on the construction of parametrical subgroups. A generalization of the Stree scheme is presented as well. This enables us to perform parallel substructure analysis with respect to various dependent or independent parameters, thus using fully the initial information of a system. 1