Abstract
In this paper we propose a novel scheme for scheduling divisible task on parallel processors connected by system interconnection network with arbitrary topology. The divisible task is a computation that can be divided into arbitrary independent subtasks solved in parallel. Our model takes into consideration communication initial time and communication delays between processors. Moreover, by constructing the corresponding Network Spanning Tree (NST) for a network, our scheme can be applied to all kinds of network topologies. We present the concept of Balanced Task Distribution Tree and use it to design the Equation Set Creation Algorithm in which the set of linear equations is created by traversing the NST in post-order. After solving the created equations, we get the optimal task assignment scheme. Experiments confirm the applicability of our scheme in real-life situations
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Blazewicz J, Drozdowski M, Markiewicz M. Divisible task scheduling — Concept and verification.Parallel Computing, 1999, 25: 87–98.
Drozdowski M. Selected Problems of Scheduling Tasks in Multiprocessor Computer Systems. Poznan University of Technology Press, 1997.
Culler D Eet al. LogP: A practical model of parallel computation.Communications of the ACM, 1996, 39(11): 78–85.
Mani V, Ghose D. Distributed computation in linear networks: Closed-form solutions.IEEE Transactions on Aerospace and Electronic Systems, 1994, 30(2): 471–483.
Bharadwaj V, Ghose D, Mani V. Optimal sequencing and arrangement in distributed single-level tree networks with communication delays.IEEE Transactions on Parallel and Distributed Systems, 1994, 5(9): 968–976.
Bataineh S, Hsiung T, Robertazzi T G. Closed form solutions for bus and tree networks of processors.IEEE Transactions on Computers, 1994, 43(10): 1184–1196.
Blazewicz J, Drozdowski M. Scheduling divisible jobs with communication startup costs.Discrete Applied Mathematics, 1997, 76(1–3).
Park J L, Choi H. Circuit-switched broadcasting in torus mesh networks.IEEE Transactions on Parallel and Distributed Systems, 1996, 7(2): 184–190.
Blazewicz J, Drozdowski M. Performance limits of two-dimensional network of load-sharing processors.Foundations of Computing and Decision Sciences, 1996, 21(1): 3–15.
Drozdowski M, Glazek W. Scheduling divisible loads in a three-dimensional mesh of processors.Parallel Computing, 1999, 25: 381–404.
Blazewicz J, Drozdowski M. Scheduling divisible jobs on hypercubes.Parallel Computing, 1995, 21: 1945–1956.
Blazewicz J, Drozdowski M. Scheduling a divisible task in a two-dimensional toroidal mesh.Discrete Applied Mathematics, 1999, 94: 35–50.
Cheng Y C, Robertazzi T G. Distributed computation for a tree network with communication delays.IEEE Transactions on Aerospace and Electronic Systems, 1990, 26(3): 511–516.
Bharadwaj V, Ghose D, Mani V. Multi-installment techniques in tree networks.IEEE Transactions on Aerospace and Electronic Systems, 1995, 31(2): 555–567.
Sohn J, Robertazzi T G. A multi-job load sharing strategy for divisible jobs on bus networks. CEAS Technical Report 697, University of Stony Brook, 1994.
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Li Guodong received the B.S. degree in computer science from Zhongshan University, China, in 1997. and the M.S. degree in computer science from Nanjing University, China, in 2001. Currently, he is a teaching assistant and research assistant in the Department of Computer Science and Technology, Nanjing University. His research interests include parallel and distributed computing, graph theory. He is a member of IEEE and the IEEE Computer Society.
Zhang Defu received his B.S. degree in mathematics from Nanjing University, China, in 1962. He is a professor in the Department of Computer Science and Technology, Nanjing University. His main research areas include parallel and distributed systems, parallel numerical algorithms. Professor Zhang has coauthored more than 90 papers. He has served on the program committees of several conferences, organized several workshops, and guest-edited special issues.
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Li, G., Zhang, D. Distributing and scheduling divisible task on parallel communicating processors. J. Compt. Sci. & Technol. 17, 788–796 (2002). https://doi.org/10.1007/BF02960769
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DOI: https://doi.org/10.1007/BF02960769