Parallel Interior Point Solver for Structured Linear Programs

作者: Jacek Gondzio , Robert Sarkissian

DOI: 10.1007/S10107-003-0379-5

关键词: Mathematical optimizationLinear programmingSoftwareInterior point methodNumerical analysisSolverParallel algorithmEmbeddingParallel computingOptimization problemMathematics

摘要: Issues of implementation an object-oriented library for parallel interior-point methods are addressed. The solver can easily exploit any special structure the underlying optimization problem. In particular, it allows a nested embedding structures and by this means very complicated real-life problems be modelled. efficiency is illustrated on several arising in networks. sequential outperforms state-of-the-art commercial software. achieves speed-ups about 3.1-3.9 4-processors systems 10-12 16-processors systems.

参考文章(25)
Stephen J. Wright, Primal-Dual Interior-Point Methods ,(1987)
James Gosling, David Colin Holmes, Ken Arnold, None, The Java Programming Language ,(1996)
J. Gondzio, C. Meszaros, E.D. Andersen, X. Xu, Implementation of Interior Point Methods for Large Scale Linear Programming Research Papers in Economics. ,(1996)
D. Ridge, D. Becker, P. Merkey, T. Sterling, Beowulf: harnessing the power of parallelism in a pile-of-PCs ieee aerospace conference. ,vol. 2, pp. 79- 91 ,(1997) , 10.1109/AERO.1997.577619
Robert Fourer, Staircase Matrices and Systems SIAM Review. ,vol. 26, pp. 1- 70 ,(1984) , 10.1137/1026001
In Chan Choi, Donald Goldfarb, Exploiting special structure in a primal-dual path-following algorithm Mathematical Programming. ,vol. 58, pp. 33- 52 ,(1993) , 10.1007/BF01581258
George B. Dantzig, Philip Wolfe, THE DECOMPOSITION ALGORITHM FOR LINEAR PROGRAMS Econometrica. ,vol. 29, pp. 767- 768 ,(1961) , 10.2307/1911818
Jordi Castro, A Specialized Interior-Point Algorithm for Multicommodity Network Flows Siam Journal on Optimization. ,vol. 10, pp. 852- 877 ,(1999) , 10.1137/S1052623498341879
J. Gondzio, R. Sarkissian, J.-P. Vial, Using an interior point method for the master problem in a decomposition approach European Journal of Operational Research. ,vol. 101, pp. 577- 587 ,(1997) , 10.1016/S0377-2217(96)00182-8