Large-scale 0-1 linear programming on distributed workstations

Large-scale 0-1 linear programming on distributed workstations

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Article ID: iaor1990302
Country: Switzerland
Volume: 22
Start Page Number: 181
End Page Number: 217
Publication Date: Jan 1990
Journal: Annals of Operations Research
Authors: ,
Abstract:

The authors present a methodology which uses a collection of workstations connected by an Ethernet network as a parallel processor for solving large-scale linear programming problems. On the largest problems they tested, linear and super-linear speedups have been achieved. Using the ‘branch-and-cut’ approach of Hoffman, Padberg and Rinaldi, eight workstations connected in parallel solve problems from the test set documented in the Crowder, Johnson and Padberg 1983 Operations Research article. Very inexpensive, networked workstations are now solving in minutes problems which were once considered not solvable in economically feasible times. In this peer-to-peer (as opposed to master-worker) implementation, interprocess communication was accomplished by using shared files and resource locks. Effective communication between processes was accomplished with a minimum of overhead (never more than 8% of total processing time). The implementation procedures and computational results will be presented.

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