Assignment problems in parallel and distributed computing
Assignment problems in parallel and distributed computing
Partitioning Problems in Parallel, Pipeline, and Distributed Computing
IEEE Transactions on Computers
A fast parametric maximum flow algorithm and applications
SIAM Journal on Computing
Mathematical Techniques for Efficient Record Segmentation in Large Shared Databases
Journal of the ACM (JACM)
A parallel algorithm for mapping a special class of task graphs onto linear array multiprocessors
SAC '94 Proceedings of the 1994 ACM symposium on Applied computing
Distributed Multimedia Application Configuration Management
IEEE Transactions on Parallel and Distributed Systems
Efficient Partitioning of Sequences
IEEE Transactions on Computers
Fast optimal load balancing algorithms for 1D partitioning
Journal of Parallel and Distributed Computing
International Journal of Computer Applications in Technology
Mapping pipeline skeletons onto heterogeneous platforms
Journal of Parallel and Distributed Computing
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part III: ICCS 2007
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S.H. Bokhari has studied the assignment of the modules of a parallel program to the processors of a multiple-computer system. He proposed algorithms to solve optimally the following problems: (1) partition chain-structured parallel or pipelined programs over chain-connected systems; (2) partition multiple chain-structured parallel or pipelined programs over single-host multiple satellite systems; (3) partition multiple arbitrarily structured serial programs over single-host multiple-satellite systems; (4) partition single-tree structured parallel or pipelined programs over single-host multiple identical satellite systems. The authors solve here problem 1 by dynamic programming and problem 2 by sorting and using bisection search for the bottleneck value. They also note that Bokhari's algorithms for problems 3 and 4 can be improved by using recent results of G. Gallo et al. (1989), and by implementing E.W. Dijkstra's (1959) algorithm, which is used as a subroutine, with a heap structure. The time complexity of all algorithms is thus reduced.