Divisible load scheduling in single-level tree networks: Optimal sequencing and arrangement in the nonblocking mode of communication

Computers and Mathematics with Applications

Volumn 46, Issue 10-11, 2003, Pages 1611-1623

  Kim, H J ^a   Mani, V ^b  

^a Kangwon National University   (South Korea)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Divisible loads; Nonblocking mode of communication; Optimal load sequence; Processing time; Single level tree network

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); MATHEMATICAL MODELS; NUMBER THEORY; OPTIMAL SYSTEMS; TIME SHARING SYSTEMS; TREES (MATHEMATICS);

DIVISIBLE LOAD SCHEDULING; NONBLOCKING MODE; OPTIMAL SEQUENCING; SINGLE LEVEL TREE NETWORKS;

COMPUTER NETWORKS;

EID: 0348038686     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90196-9     Document Type: Article

References (26)

1. S.H. Bokhari, Assignment Problems in Parallel and Distributed Computing, Kluwer Academic, Boston, MA, (1987).
2. M.R. Garey and D.S. Johnson, Computers and Interactability: A Guide to the Theory of NP-Completeness, W.H. Freeman, New York, (1979).
3. S. Sahni and V. Thanvantri, Performance metrics: Keeping the focus on run time, IEEE Parallel and Distributed Technology, 43-56, (1996).
4. Cluster Computing on Divisible Load Scheduling, Special Issue of Concurrent Computing 6 (1), (2003).
5. H.S. Morse, Practical Parallel Computing, AP Professional, Boston, MA, (1994).
6. J.F. Jeng and S. Sahni, Reconfigurable mesh algorithms for the Hough transform, Journal of Parallel and Distributed Computing 20 (1), 69-74, (1994).
7. D. Ghose and H.J. Kim, Load partitioning and trade-off study for large matrix-vector computations in multicast bus networks with communication delays, Journal of Parallel and Distributed Computing 55 (1), 32-59, (1998).
8. C. Lee, Y.F. Wang and T. Yang, Static global scheduling for optimal computer vision and image processing operations on distributed-memory multiprocessors, Technical Report, University of California, Santa Barbara, TRC 94-23, (1994).
9. G.D. Barlas, Collection-aware optimum sequencing of operations and closed-form solutions for the distribution of a divisible load on arbitrary processor trees, IEEE Transactions on Parallel and Distributed Systems 9 (5), 429-441, (1998).
10. C. Lee, Y.F. Wang, D. Uecker and Y. Wang, Image analysis for automated tracking in robot-assisted endoscopic surgery, In Proceedings of 12th International Conference Pattern Recognition, Jerusalem, Israel, pp. 88-92, (September 1994).
11. H.J. Kim, A novel optimal load distribution algorithm for divisible load, Cluster Computing on Divisible Load Scheduling, Special Issue of Concurrent Computing 6 (1), 41-46, (2003).
12. Y.C. Cheng and T.G. Robertazzi, Distributed computation with communication delays, IEEE Transactions on Aerospace Electronic and Systems 24 (6), 700-712, (1988).
13. Y.C. Cheng and T.G. Robertazzi, Distributed computation for tree network with communication delays, IEEE Transactions on Aerospace and Electronic Systems 26 (3), 511-516, (1990).
14. S. Bataineh and T.G. Robertazzi, Bus oriented load sharing for a network of sensor driven processors, IEEE Transactions on Systems, Man, Cybernetics 21 (5), 1202-1205, (1991).
15. T.G. Robertazzi, Processor equivalent for a linear daisy chain of load sharing processors, IEEE Transactions on Aerospace and Electronic Systems 29 (4), 1216-1221, (1993).
16. J. Sohn and T.G. Robertazzi, Optimal divisible job load sharing on bus network, IEEE Transactions on Aerospace and Electronic Systems 32 (1), 34-40, (1996).
17. V. Bharadwaj, D. Ghose, V. Mani and T.G. Robertazzi, Scheduling Divisible Loads in Parallel and Distributed Systems, IEEE Computer Society Press, Los Alamitos, CA, (1996).
18. V. Bharadwaj, D. Ghose and V. Mani, Optimal sequencing and arrangement in distributed single-level tree networks with communication delays, IEEE Transactions on Parallel and Distributed Systems 5 (9), 968-976, (1994).
19. H.J. Kim, G.I. Lee and J.G. Lee, Optimal load distribution for tree network processors, IEEE Transactions on Aerospace and Electronic Systems 32 (2) 607-612, (1996).
20. V. Mani and D. Ghose, Distributed computation in linear networks: Closed-form solutions, IEEE Transactions on Aerospace Electronic Systems 30 (2), 471-483, (1994).
21. D. Ghose and V. Mani, Distributed computation with communication delays: Asymptotic performance analysis, Journal of Parallel and Distributed Computing 23 (3), 293-305, (1994).
22. J. Blazewicz and M. Drozdowski, Scheduling divisible jobs on hypercubes, Parallel Computing 21 (12), 1945-1956, (1995).
23. J. Blazewicz and M. Drozdowski, The performance limits of a two-dimensional network of load sharing processors, Foundations of Computing and Decision Sciences 21 (1), 3-15, (1996).
24. M. Drozdowski, Selected Problems of Scheduling Tasks in Multiprocessor Computer Systems, Wydawnictwa Politechniki Poznanskiej, Poznan, Poland, (1997).
25. M. Snir, S. Otto, S. Huss-Ledermen, D. Walker and J. Dongarra, MPI: Complete Reference, MIT Press, London, England, (1994).
26. W. Gropp, E. Lusk and A. Skjellum, Using MPI: Portable Parallel Programming with the Message-Passing Interface, MIT Press, (1994).