Graduate Project
 

Parallel execution of the Simplex algorithm

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https://ir.library.oregonstate.edu/concern/graduate_projects/79408534h

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  • This project is concerned with the optimal distribution of the computation and the data in parallelized Simplex algorithms. Test cases were implemented on a 16-processor Transputer system from INMOS Corporation. By careful consideration of distribution of computations and data, a nearly linear speedup pattern was obtained. The most interesting thing in this study was that 1) the execution time is not dependant on communication delay, 2) overhead due to parallelization does not significantly increase as the number of processors increase and 3) the Simplex algorithm communication delay is not so significant if the problem size is big enough.
  • Keywords and phrases : message-passing, two-phase Simplex, linear programming, distributed memory, multiprocessor system
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